materials

Article Performance of Epoxy Resin Polymer as Self-Healing Cementitious Materials Agent in Mortar

Ghasan Fahim Huseien 1 , Abdul Rahman Mohd Sam 1, Iman Faridmehr 2 and Mohammad Hajmohammadian Baghban 3,*

1 UTM Construction Research Centre, Institute for Smart Infrastructure and Innovative Construction, School of Civil Engineering, Faculty of Engineering, Universiti Teknologi Malaysia, Skudai, Johor Bahru 81310, Malaysia; [email protected] (G.F.H.); [email protected] (A.R.M.S.) 2 Institute of Architecture and Construction, South Ural State University, Lenin Prospect 76, 454080 Chelyabinsk, Russia; [email protected] 3 Department of Manufacturing and Civil Engineering, Norwegian University of Science and Technology (NTNU), 2815 Gjøvik, Norway * Correspondence: [email protected]; Tel.: +47-48-351-726

Abstract: This research investigated the application of epoxy resin polymer as a self-healing strategy for improving the mechanical and durability properties of -based mortar. The epoxy resin was added to the mix at various levels (5, 10, 15, and 20% of cement weight), and the effectiveness of healing was evaluated by microstructural analysis, compressive strength, and non-destructive (ultrasonic pulse velocity) tests. Dry and wet-dry conditions were considered for curing, and for generating artificial cracks, specimens at different curing ages (1 and 6 months) were subjected to compressive testing (50 and 80% of specimen’s ultimate compressive strength). The results indicated that the mechanical properties in the specimen prepared by 10% epoxy resin and cured under wet-dry conditions was higher compared to other specimens. The degree of damage and healing efficiency   index of this particular mix design were significantly affected by the healing duration and cracking age. An optimized artificial neural network (ANN) combined with a firefly algorithm was developed Citation: Huseien, G.F.; Sam, A.R.M.; to estimate these indexes over the self-healing process. Overall, it was concluded that the epoxy resin Faridmehr, I.; Baghban, M.H. Performance of Epoxy Resin Polymer polymer has high potential as a mechanical properties self-healing agent in cement-based mortar. as Self-Healing Cementitious Materials Agent in Mortar. Materials Keywords: self-healing concrete; epoxy resin polymer; strength development; healing efficiency; 2021, 14, 1255. https://doi.org/ porosity; sustainability 10.3390/ma14051255

Received: 25 January 2021 Accepted: 2 March 2021 1. Introduction Published: 6 March 2021 Fissures and cracks are the main concerns for concrete due to its relatively low tensile strength, and this is one of the most severe problems affecting the durability and service life Publisher’s Note: MDPI stays neutral of concrete structures in the natural climate. At the early age of cementitious materials such with regard to jurisdictional claims in as concrete, mortar, and paste, the loss of moisture from fresh mixture results in a reduction published maps and institutional affil- in volume. The restraint of mortar to volume changes caused initial shrinkage cracks. Initial iations. shrinkage cracks in concrete normally occur in all building materials or components that are cement/lime-based such as concrete, mortar, masonry units, masonry and plaster, etc., and are one of the leading causes of cracking in structure. Initial shrinkage in concrete and mortar occurs during the construction of structural members due to drying out of moisture. Copyright: © 2021 by the authors. The initial shrinkage of concrete is partly reversible if the moisture is maintained in concrete, Licensee MDPI, Basel, Switzerland. but it becomes irreversible when concrete becomes dry [1,2]. During the concrete life cycle, This article is an open access article several mechanical, chemical, and physical processes such as temperature gradients, plastic distributed under the terms and and autogenous shrinkage, external loading, and expansive reactions can create local stress conditions of the Creative Commons and subsequently induce cracking [2–4]. Continuous cracks network significantly impaired Attribution (CC BY) license (https:// durability and permeability of concrete, providing an easy path for the entrance of gases creativecommons.org/licenses/by/ 4.0/). and liquids containing destructive substances that result in crack growth. Without proper

Materials 2021, 14, 1255. https://doi.org/10.3390/ma14051255 https://www.mdpi.com/journal/materials Materials 2021, 14, 1255 2 of 23

and immediate treatment, such crack networks tend to spread and finally require costly treatment. From a crack treatment perspective, conventional systems concentrate on the applica- tion of regular maintenance and scheming inspection. Nevertheless, in large-scale concrete structures, such conventional systems required a considerable amount of funds and la- bor. Furthermore, the treatment process somehow may be difficult or even impossible to implement where the affected structures are in service, i.e., large dams and tunnels. In these circumstances, self-healing concrete was proposed and has become increasingly attractive [5]. In concrete structures, self-healing of micro-cracks has already been introduced as a phenomenon that cracks networks could be automatically repaired by rehydration of insufficiently hydrated or un-hydrated cement particles in cracked areas. However, the previous research indicated that the crack width that can be healed in such technique is limited to a maximum of 0.1 mm, which is not enough for practical application [6]. In addition to autogenous healing, cracks may also be automatically closed using a specific healing agent in the cement matrix [7–9]. Self-healing properties can improve in concrete using different techniques including encapsulation of polymers, inclusion of fibers, and secondary hydration of un-hydrated cement [10]. The existing self-healing agents included cementitious materials, are classified broadly into the four groups such as the intrinsic healing [11], microbial healing [12], capsule-based healing [13], and vascular healing [14]. Another alternative self-healing material that has been attracted many researchers is bacterially produced calcium carbon- ate [4,15]. Gollapudi et al. [16] first proposed this technique in the mid-1990s to repair cracks using environmentally friendly processes. The technique involved incorporating ureolytic bacteria that facilitate enzymatic hydrolysis of precipitation of calcium carbonate and urea in the micro-crack regions. The epoxy resin’s unique properties such as strong adhesion, high corrosion-resistance, and chemical durability made it attractive in the construction sector to produce modified . Additionally, epoxy resin is advantageous as the admixture in the concretes because it can impart many emergent properties absent in the pure concretes. However, to produce the epoxy resin-modified mortar hardeners are essential [17–19]. According to Ariffin et al. [20,21], the inclusion of epoxy resin into the concretes imparts hardening prop- erties when the alkaline substances are present. They developed the epoxy resin-modified mortars in the absence of any hardener. Ohama et al. [22] demonstrated that the epoxy resin-modified concretes and mortars in the absence of any hardener at (23 ± 3 ◦C) have a lesser hardening rate and strength performance than the one without epoxy resin. To overcome this drawback, the autoclave and steam curing techniques were followed to improve the early compressive strength (CS) developments of the epoxy resin-modified concretes [23,24]. Jo [25] observed that the characteristics of the epoxy resin-modified ordinary (OPC)-based mortars in the absence of any hardener has rela- tively better properties than those with hardener. The observed increase in the strength performance was ascribed to the cross-linkages between the epoxy and the OPC network that could react with the Ca(OH)2 without any hardener [26]. The reaction ability between the epoxy resin and hydroxyl ions from the OPC hydra- tion (Ca(OH)2) to produce the hardened epoxy motivated the researchers to apply epoxy resin as self-healing agent in concrete industries. It is established that the inclusion of the epoxy resin in the hydration process of the OPC matrix is responsible for enhancing the mechanical properties of the product. In the OPC hydration process, the produced hydroxyl ions are essential for the self-healing mechanism and C-(A)-S-H gels formation. In the bacteria-based self-healing concretes, the bacterial strain reacts with the oxygen to produce the calcite, thus precipitating and healing the concretes’ microcracks. In the epoxy resin-based self-healing concretes, similar mechanisms are involved, and also the epoxy resin can react with the hydroxyl groups, leading to the healing of the concrete cracks. Materials 2021, 14, x FOR PEER REVIEW 3 of 24

Materials 2021, 14, 1255 3 of 23 resin-based self-healing concretes, similar mechanisms are involved, and also the epoxy resin can react with the hydroxyl groups, leading to the healing of the concrete cracks. In this research, the epoxy resin without any hardener called diglycidyl ether of bi- In this research, the epoxy resin without any hardener called diglycidyl ether of sphenol A was adopted as the self-healing agent to produce a sustainable mortar for sev- bisphenol A was adopted as the self-healing agent to produce a sustainable mortar for eral construction applications with long life span and high durability. The mixes were several construction applications with long life span and high durability. The mixes designed with various ratios of the epoxy resin to OPC to assess the efficacy of the epoxy were designed with various ratios of the epoxy resin to OPC to assess the efficacy of the as the self-healing agent. The modified mortars were subjected to the dry and wet-dry epoxy as the self-healing agent. The modified mortars were subjected to the dry and conditions of curing to determine their improved properties such as flowability, CS de- wet-dry conditions of curing to determine their improved properties such as flowability, velopment, porosity, degree of damage, and healing efficiency. The CS, ultrasonic pulse CS development, porosity, degree of damage, and healing efficiency. The CS, ultrasonic velocity (UPV), and SEM morphologies were recorded to determine the feasibility of im- pulse velocity (UPV), and SEM morphologies were recorded to determine the feasibility plementing the epoxy resin as the self-healing agent in mortar manufacturing. In addition, of implementing the epoxy resin as the self-healing agent in mortar manufacturing. In an optimized artificial neural network (ANN) combined with a firefly algorithm was de- addition, an optimized artificial neural network (ANN) combined with a firefly algorithm veloped to estimate the degree of damage and healing efficiency output parameters over was developed to estimate the degree of damage and healing efficiency output parameters theover self- thehealing self-healing process. process.

2. Materials2. Materials and and Experimental Experimental Program Program 2.1.2.1. Materials Materials In Inthis this study, study, the the OPC OPC was was collected collected from from the the Holcim Holcim Cement Cement Manufacturing Manufacturing Com- Com- panypany (Johor (Johor Bahru Bahru,, Malaysia) Malaysia) following following ASTM ASTM C150 C150 standard standard [27 []27 to] prepare to prepare the the mortar. mortar. TheThe X- X-rayray fluorescence fluorescence (XRF (XRF,, HORIBA, HORIBA, Singapore, Singapore, Singapore Singapore)) spectra spectra were were analyzed analyzed to to determinedetermine the the main main chemical chemical compositions compositions of ofthe the OPC OPC by by weight%, weight%, including including the the CaO CaO (63.1%),(63.1%), SiO SiO2 (20.1%),2 (20.1%), and andAl2O Al3 (5.4%),2O3 (5.4%), where where the total the of total loss ofon loss ignition on ignition (LOI) was (LOI) 2.2 of was the2.2 weight%. of the weight%. The mineral The compounds mineral compounds of OPC, provided of OPC, provided by the X- byray the diffraction X-ray diffraction (XRD, Rigoku(XRD,, Singapore, Rigoku, Singapore, Singapore Singapore)) pattern analyses, pattern analyses, consist of consist Dicalcium of Dicalcium Silicate (C Silicate2S), Trical- (C2S), ciumTricalcium Silicate Silicate(C3S), tricalcium (C3S), tricalcium aluminate aluminate (C3A), and (C3 A),calcium and calcium aluminoferrite aluminoferrite (C4AF) (Cwith4AF) thewith proportion the proportion of 9.3, 74.9, of 9.3, 6.7, 74.9, and 6.7,9.1%, and res 9.1%,pectively, respectively, as shown as in shown Figure in 1. Figure The low1. Theamor- low phousamorphous part of OPC part ofwas OPC shown was shownbetween between 2θ 25 to 2θ 5525 degree. to 55 degree. The XRD The pattern XRD pattern of OPC of ex- OPC hibitsexhibits high high pecks pecks of C of2S Cand2S andC3S. C These3S. These kind kind of elements of elements will will contribute contribute to toformulate formulate the the portlanditeportlandite (Ca(OH) (Ca(OH)2) during2) during the thehydration hydration process. process. Silicate Silicate minerals minerals in non in- non-crystallinecrystalline or anor amorphous an amorphous state stateare highly are highly reactive reactive with with Ca(OH) Ca(OH)2 produced2 produced from from the the hydration hydration of of cementcement to toform form additional additional calcium calcium silicate silicate hydrate hydrate (C (C-S-H)-S-H) gels. gels.

FigureFigure 1. XRD 1. XRD patterns patterns of the of the OPC OPC..

ToTo develop develop self self-healing-healing properties properties in in the the mix design, epoxyepoxy resinresin was was used used without without any anyhardener hardener for for the the easy easy reaction reaction with with the the hydroxyl hydroxyl ions ions and and hardening. hardening. Therefore, Therefore, the epoxythe epoxyresin resin with withhigh viscosity high viscosity was selected was selected where itwhere was obtained it was obtained using a Digital using a Brookfield Digital BrookfieldViscometer Viscometer (Chongqing (Chongqing Gold Mechanical Gold Mechanical & Electrical & ElectricalEquipment Equipment Co., Ltd, Chongqing,Co., Ltd, ChongqingChina) while, China the) epoxywhile the equivalent, epoxy equivalent, molecular molecular weight, and weight, its flash and point its flash were point provided were by the manufacturing company (Cemkrete Sdn. Bhd, Puchong, Malaysia). Table1 summarizes the above-mentioned physical properties of the epoxy resin.

Materials 2021, 14, 1255 4 of 23

Table 1. Physical properties of epoxy resin.

Epoxy equivalent 184 Molecular weight 380 Flash point (◦C) 264 Viscosity (cPs, 20 ◦C) 10,000 Density (g/cm3, 20 ◦C) 1.16

The Fourier transform infrared (FTIR, TA instruments, New Castle, DE, USA) of the epoxy resin, and OPC were considered to identify and quantify their bonding structures, compositions, functional groups, and hydration properties. Figure2 demonstrates the main FTIR bands of the OPC and epoxy resin were in the range of 450 to 4000 wavenumber (cm−1). For the OPC, the bands at 462.9, 824, and 1033 cm−1 corresponded to the Si-O, Si-O-Al, and Si-O-Si bending. The previous literature reported that the broad band’s existence around 500–650 cm−1 was related to the glassy phase (short-ranged ordering of the network structures) of the silicates [28]. Meanwhile, the bands at 1426.7 and 3452 cm−1 were due to the C-H bending and H-O-H (water bands) stretching, respectively. The epoxy resin’s FTIR bands indicated the presence of different crosslinking mechanisms due to the chemical reactions between one or two kinds of monomers with different functional groups. The reactivity of the epoxies became completely different because of the alteration of the molecular structure. González et al. [29] showed the existence of highly reactive oxirane groups originated from the linkages between the aromatic rings and oxygen. Depending on the FTIR spectral analyses, the bands at 831, 916, and 1036 cm−1 were assigned to the C-O-C, C-O, and C-O-C stretching. The C-H and O-H stretching were observed in the range of 2871 to 3600 cm−1. In addition, the FTIR spectra of the epoxy resin without hardener appeared to be a valuable tool for both qualitative and quantitative analysis of these processes. It provided the specific information and reaction mechanisms to identify the epoxy resin components and the existence of different vibration bands. Moreover, the O-H band analysis rendered some information about the intermolecular interactions within the components of the epoxy resin.

Figure 2. The FTIR spectra of the OPC and epoxy resin.

The sieve analysis result of the river sand is shown in Figure3. The retained percentage of the fine aggregates, the upper and lower limit, was selected according to the Standard Specification for Concrete Aggregates ASTM C33 [30]. In this research, the fine aggregate Materials 2021, 14, x FOR PEER REVIEW 5 of 24

Materials 2021, 14, 1255 The sieve analysis result of the river sand is shown in Figure 3. The retained percent-5 of 23 age of the fine aggregates, the upper and lower limit, was selected according to the Stand- ard Specification for Concrete Aggregates ASTM C33 [30]. In this research, the fine aggre- gate remains between the upper and lower limit to follow well-graded aggregate. River remainssand is known between to thehave upper high and silic lowera content, limit 96% to follow of the well-graded constituents, aggregate. acting as Riverfiller in sand the isepoxy known-modified to have design high silica mix. content,The percentage 96% of theon fine constituents, aggregate acting remains as fillerconstant in the in epoxy-all mix modifieddesigns. design mix. The percentage on fine aggregate remains constant in all mix designs.

Figure 3. Particle size analysis of the finefine aggregates.aggregates.

2.2. Mix Design, Casting, and Curing ConditionCondition To evaluateevaluate epoxy epoxy resin’s resin’ adequacys adequacy as as a self-healinga self-healing agent, agent, five five batches batches of mix of designsmix de- containingsigns containing various various epoxy epoxy resin resin levels levels were were prepared prepared in the in laboratory, the laboratory, Table Table2. The 2. first The batchfirst batch was preparedwas prepared without without the epoxy the epoxy resin resin and consideredand considered as the as control the contr sample.ol sample. The controlThe control mixture mixture was was made made by blendingby blending the the OPC, OPC, fine fine aggregates, aggregates, and and water. water. InIn otherother batches, the epoxy resin to OPC content was varied from 5% to 20%. To obtain the desired batches, the epoxy resin to OPC content was varied from 5% to 20%. To obtain the desired strength properties of the mixes, the quality was controlled strictly during the materials strength properties of the mixes, the quality was controlled strictly during the materials preparation and mixing process by addressing the following criteria: preparation and mixing process by addressing the following criteria: (1) Following to ASTM C1329 and ASTM C109 standards, the ratio of the cement to river (1) Followingsand and waterto ASTM to cement C1329 and was ASTM fixed to C109 0.33 standards, and 0.48, respectively the ratio of forthe allcement mix designs; to river (2) sandMunicipal and water tap waterto cement was was added fixed to theto 0.33 concretes and 0. during48, respectively the mixing for and all mix curing; designs; (3)(2) MunicipalDuring the tap preparation water was stage, added a saturatedto the concretes surface during dry condition the mixing of the and river curing; sand was adopted. (3) During the preparation stage, a saturated surface dry condition of the river sand was adopted. Table 2. Mix proportions of the self-healing mortars. During the preparation stage, following ASTM C150 [31], first the river sand and Cement Water River Sand Epoxy/Cement OPC wereMix blended together for 3 min, and then the epoxy resin was added to the mix and (kg/m3) (kg/m3) (kg/m3) (%) blended for another 2 min to get a homogenous blend. Subsequently, the water was added to the1 (control mix, and sample) blending continued 506 for another 243 3 min. 1518 0 2 506 243 1518 5 3 506 243 1518 10 Table 2. Mix proportions of the self-healing mortars. 4 506 243 1518 15 5Cement 506 Water 243 River Sand 1518 Epoxy/Cement 20 Mix (kg/m3) (kg/m3) (kg/m3) (%) 1During (control the sample) preparation stage,506 following243 ASTM C1501518 [31 ], first the river0 sand and OPC were blended2 together for506 3 min, and then243 the epoxy151 resin8 was added to the5 mix and blended for another3 2 min to get506 a homogenous 243 blend. Subsequently,1518 the water10 was added to the mix, and4 blending continued506 for another243 3 min. 1518 15 The workability5 of the mortars506 was measured243 using the151 flow8 table test. After20 the blend was mixed properly, the fresh mortar was poured onto the molds with two layers, where each layer was exposed to 15-s vibration to liberate the air and reduce the pores. The cubical samples with the dimension of 70 mm × 70 mm × 70 mm was used for the compressive

strength (CS) test, cylindrical samples of dimension 75 mm × 150 mm was taken for the Materials 2021, 14, 1255 6 of 23

splitting tensile strength and the prism specimen of dimension 40 mm × 40 mm × 160 mm was prepared for the flexural strength test. Two types of curing conditions were applied on the obtained specimens including the dry and wet-dry. In the wet-dry state, the mortar was immersed in water for five days at (20 ± 3 ◦C). After five days, the specimens were taken out and left in the ambient condition (24 ± 3 ◦C) until the testing. In the dry curing, the mortar was left in the ambient state till testing.

2.3. Fresh and Hardened Tests The epoxy-modified mortars’ fresh characteristics were evaluated in terms of the workability using the flow table test in compliance with ASTM C230 [32]. The standard conical frustum with a diameter of 100 mm was used for the flow test, where the mortar was placed on the flow table and dropped 25 times within 15 s. As the mortar was dropped, it showed a spread out on the flow table, and the diameter of the spread mortar was recorded. This test was repeated three times to calculate the average. The setting times test of the cement pastes was carried out using the Vicat Apparatus (GA Precision Sdn Bhd, Shah Alam, Malaysia) according to the ASTM C191 [33]. In this test, the cement paste was placed into the conical mold of 80 mm diameter and 40 mm height in two layers where each layer tampered with 25 times with a rod. Then, the mortar paste was cured at room temperature, and at every interval of 15 min, the specimen was taken out and placed on the Vicat apparatus to measure the initial and final setting time. The CS of specimens were measured at the age of 28 days using the universal testing machine (UTM, NL Scientific, Klang, Malaysia) with a 0.8 kN/s loading rate in compliance with ASTM C109 [34]. Similarly, the flexural and splitting tensile strength of epoxy- modified mortars were evaluated in compliance with the ASTM C78 [35] and ASTM C496 [36,37], respectively, after the curing age of 28 days. For the water absorption test, first three cubical epoxy-modified specimens were ◦ submerged inside water for 72 h (Wts) and after that, oven-dried for 24 h at 105 C (Wtd). Each sample’s weight was measured and percentage of the water absorption (WA %) was calculated using the following equation in compliance with ASTM D 6532 [38].

WA = [(Wts − Wtd)/Wtd] × 100 (1)

Wts and Wtd (in kg) denote the weight of the treated mortar unit after the immersion in water and oven-dried.

2.4. Self-Healing Evaluation Test To evaluate the self-healing performance of the studied mortars, the artificial cracks were generated using a compression test machine (NL Scientific, Klang, Malaysia) (loading speed 0.8 kN/s) at the ages of 1 and 6 months. After generating artificial cracks, the pre-loaded and non-loaded (control samples) were left for curing at ambient temperature (27 ± 1.5 ◦C) under the relative humidity of 75%. The main reason to have a similar environment condition for all specimens was to ensure no external factor can affect the self-healing process. Figure4 illustrated the self-healing evaluation procedure. Such an approach was intended to simulate the practical construction scenarios where the cracks often appear unexpectedly at a different age. At these proposed ages, the average of the developed CS, UPV, and the surface morphology (SEM, Hitachi, Ibaraki, Japan) of the specimens were recorded, and then the artificial cracks were generated on specimens by the pre-loading rate of 50 and 80% of their ultimate CS. At first, six specimens were selected from each batch (control sample and optimum ratio of epoxy content) and tested to find the ultimate load using a compression machine at one month of curing age. Then, 144 specimens were pre-loaded with 50% and 80% of the ultimate load to evaluate the crack width effect on epoxy risen efficiency as a self-healing agent. Subsequently, using structural morphology test, specimens were again investigated to ensure that the crack was properly generated inside the mortars, and then the specimens were cured at room temperature 27 ± 1.5 ◦C until the desired day of testing. Specimens were evaluated after 1, 2, 3, 5, Materials 2021, 14, x FOR PEER REVIEW 7 of 24

find the ultimate load using a compression machine at one month of curing age. Then, 144 specimens were pre-loaded with 50% and 80% of the ultimate load to evaluate the crack width effect on epoxy risen efficiency as a self-healing agent. Subsequently, using struc- tural morphology test, specimens were again investigated to ensure that the crack was properly generated inside the mortars, and then the specimens were cured at room tem- perature 27 ± 1.5 °C until the desired day of testing. Specimens were evaluated after 1, 2, 3, 5, and 11 months of pre-loading time, and the average value of six tested specimens was recorded for CS and UPV tests. The development CS and UPV of pre-loaded specimens were compared to non-loaded specimens at the same age. Meanwhile, the results of UPV were used to measure the degree of damaged using Equation (2). Equation (3) was also used to calculate the healing efficiency, and the development of compressive strength on non-loaded specimens. Suaris et al. [39] recommended that the UPV can characterize the development of the concrete damage. They proposed the following equation based on reducing the UPV, la- beling the degree of damage. Materials 2021, 14, 1255 7 of 23 Va Degree of Damage = [1 − [ ]] × 100 (2) Vb

andwhere 11 monthsVa and V ofb are pre-loading the velocities time, after and and the before average the value peak ofloading six tested (m/s) specimens in the mortars. was recordedThe forself CS-healing and UPV efficiency tests. Thecan also development be determined CS and usi UPVng the of following pre-loaded equation specimens: were compared to non-loaded specimens at the same age. Meanwhile, the results of UPV Self − healing efficiency = [(CS − CS ) − (CS − CS )/CS ] × 100 were used to measure the degree of damagedn using2 Equationm (2).1 Equation2 (3) was also(3) usedwhere to CS calculate1 is the CS the before healing the efficiency, loading; andCS2 is the the development CS after the loading; of compressive CSn and strength CSm are onthe non-loadedCS of pre-loaded specimens. and non-loaded specimens at same curing age.

FigureFigure 4. 4.Self-healing Self-healing evaluation evaluation procedure. procedure. Suaris et al. [39] recommended that the UPV can characterize the development of

the concrete damage. They proposed the following equation based on reducing the UPV, labeling the degree of damage.

  V  Degree of Damage = 1 − a × 100 (2) Vb

where Va and Vb are the velocities after and before the peak loading (m/s) in the mortars. The self-healing efficiency can also be determined using the following equation:

Self − healing efficiency = [(CSn − CS2) − (CSm − CS1)/CS2] × 100 (3)

where CS1 is the CS before the loading; CS2 is the CS after the loading; CSn and CSm are the CS of pre-loaded and non-loaded specimens at same curing age.

3. Results and Discussion 3.1. Fresh Properties The effects of the epoxy resin on the workability of the prepared mortars were mea- sured using setting time and the flow table test. Figure5 illustrates the values of the measured flow diameter and final sitting time for all tested specimens containing different percentages of epoxy resin. The results indicated that the flow diameters of the fresh mortar were in the range of 169 ± 3 mm, and by increasing the epoxy resin content, the Materials 2021, 14, x FOR PEER REVIEW 8 of 24

3. Results and Discussion 3.1. Fresh Properties The effects of the epoxy resin on the workability of the prepared mortars were meas- Materials 2021, 14, 1255 ured using setting time and the flow table test. Figure 5 illustrates the values8 of 23 of the meas- ured flow diameter and final sitting time for all tested specimens containing different per- centages of epoxy resin. The results indicated that the flow diameters of the fresh mortar were in the range of 169 ± 3 mm, and by increasing the epoxy resin content, the flow di- flow diameter tended to decrease as a result of its high viscosity (Figure5a). Similarly, the ameter tended to decrease as a result of its high viscosity (Figure 5a). Similarly, the final final sitting time was significantly decreased in a modified mortar containing epoxy resin sitting time was significantly decreased in a modified mortar containing epoxy resin com- compared to a conventional one (Figure5b). For example, the sitting time was decreased by pared to a conventional one (Figure 5b). For example, the sitting time was decreased by around 70% in the specimen containing 20% epoxy resin compared to the control specimen. around 70% in the specimen containing 20% epoxy resin compared to the control speci- Such a phenomenonmen. canSuch explain a phenomenon by the fact can that explain the mortarby the fact mixes that became the mortar very mixes sticky became with very sticky the rising levels ofwith the the epoxy rising resin; levels shorten of the theepoxy setting resin; time shorten of the the modified setting time mortar of the mixture. modified mortar This observationmixture. was consistent This observation with the was findings consistent of Khalid with etthe al. findings [40]. of Khalid et al. [40].

Figure 5. (a) FlowFigure diameter 5. (a) Flow and diameter (b) final and sitting (b) final time sitting of all time tested of specimens.all tested specimens.

3.2. Mechanical Properties3.2. Mechanical Properties Figure6 shows theFigure mechanical 6 shows propertiesthe mechanical of epoxy properties resin modified of epoxy mortarresin modified at 28 days mortar of at 28 days dry curing age. Threeof dry specimens curing age. were Three tested specimens for each were mixture tested and for averageeach mixture value and considered average value con- for compressivesidered strength for (CS),compressive Flexural strength strength (CS), (FS) Flexural and splitting strength tensile(FS) and strength splitting (TS). tensile strength The results indicate(TS). thatThe results the mechanical indicate that properties the mechanical were improved properties bywere an improved average of by 3% an average of and 9% with increasing3 and 9% epoxywith increasing resin from epoxy 0 to resin 5 and from 0 to 0 10%, to 5 and respectively. 0 to 10%, respectively. The highest The highest mechanical propertiesmechanical were properties achieved bywere a specimen achieved containingby a specimen 10% containing epoxy resin 10% with epoxy CS ofresin with CS 33.6 MPa, FS of 2.8of 33.6 MPa, MPa, and FS splitting of 2.8 MPa, TS of and 3.3 MPasplitting with TS standard of 3.3 MPa deviation with standard (SDV) ±deviation1.6, (SDV) ±0.12 and ±0.22,±1.6, respectively. ±0.12 and ±0.22, Improving respectively the. mechanical Improving the properties mechanical in properties specimens in with specimens with 5 and 10% of epoxy5 and resin 10% attributedof epoxy resin to the attributed presence to ofthe OH presence− ions of from OH the− ions hydration from the of hydration of Ca(OH)2. Meanwhile, the results confirm that the mechanical properties tend to decrease Ca(OH)2. Meanwhile, the results confirm that the mechanical properties tend to decrease by increasing epoxyby increasing resin content epoxy toresin from content 10 to to 15 from and 10 20% to 15 significantly. and 20% significantly. For instance, For instance, the the CS declinedCS by declined 54% by by increasing 54% by increasing the epoxy the resinepoxy fromresin 10from to 10 20%. to 20%. The The previous previous literature literature indicatedindicated that bythat increasing by increasing the the epoxy epoxy content content by by more more than than 10% 10% inin thethe mix design, the residual unhardened epoxy within the mortar matrix might have interrupted the hydra- design, the residual unhardened epoxy within the mortar matrix might have interrupted tion and polymerization processes [41]. It was also acknowledged that the mechanical the hydration and polymerization processes [41]. It was also acknowledged that the properties in epoxy resin modified specimens were increased by an average of 8% under mechanical properties in epoxy resin modified specimens were increased by an average of wet-dry curing condition regardless of epoxy resin content. 8% under wet-dry curing condition regardless of epoxy resin content. Figure7 shows the development of CS in epoxy resin modified mortars at different ages using dry and wet-dry curing conditions. The average values of three readings were adopted for each test with SDV between ±1.4 to ±1.8. It is clear that the CS was increased for all specimens by increasing the curing age. Nevertheless, the increase rate was substantially higher in specimen containing 10% epoxy resin cured under wet-dry curing conditions where the CS was increased from 36 MPa at the curing age of 28 days to around 40 MPa at the curing age of 360 days. Such improvement attributed to the OH− content that improve the hydration process and increasing the C-S-H gel product [42]. Materials 2021, 14, x FOR PEER REVIEW 9 of 24

Materials 2021, 14, 1255 9 of 23 Materials 2021, 14, x FOR PEER REVIEW 9 of 24

Figure 6. Mechanical properties of all tested specimens.

Figure 7 shows the development of CS in epoxy resin modified mortars at different ages using dry and wet-dry curing conditions. The average values of three readings were adopted for each test with SDV between ±1.4 to ±1.8. It is clear that the CS was increased for all specimens by increasing the curing age. Nevertheless, the increase rate was sub- stantially higher in specimen containing 10% epoxy resin cured under wet-dry curing con- ditions where the CS was increased from 36 MPa at the curing age of 28 days to around 40 MPa at the curing age of 360 days. Such improvement attributed to the OH- content thatFigure improve 6. Mechanical the hydration properties process of all tested and specimens.increasingspecimens. the C-S-H gel product [42].

Figure 7 shows the development of CS in epoxy resin modified mortars at different ages using dry and wet-dry curing conditions. The average values of three readings were adopted for each test with SDV between ±1.4 to ±1.8. It is clear that the CS was increased for all specimens by increasing the curing age. Nevertheless, the increase rate was sub- stantially higher in specimen containing 10% epoxy resin cured under wet-dry curing con- ditions where the CS was increased from 36 MPa at the curing age of 28 days to around 40 MPa at the curing age of 360 days. Such improvement attributed to the OH- content that improve the hydration process and increasing the C-S-H gel product [42].

Figure 7. Effects of curing age on compressive strength development.development.

Using multi-linear regression analysis, Figure8 shows the correlation among mechan- ical properties of epoxy resin modified specimens after 28 days of curing. The ACI [43] proposed the following correlation for mechanical .

√ TS = 0.55 CS (4) √ FS = 0.62 CS (5)

Figure 7. Effects of curing age on compressive strength development.

Materials 2021, 14, x FOR PEER REVIEW 10 of 24

Using multi-linear regression analysis, Figure 8 shows the correlation among me- chanical properties of epoxy resin modified specimens after 28 days of curing. The ACI [43] proposed the following correlation for mechanical properties of concrete.

TS = 0.55√CS (4) FS = 0.62√CS (5) Materials 2021, 14, 1255 10 of 23 The proposed empirical equations by multi-linear regression analysis are in good agreement with ACI equations.

FigureFigure 8. 8. CorrelationCorrelation between between mechanical mechanical properties properties of of epoxy epoxy resin resin modified modified specimens specimens..

3.3. MicrostructuralThe proposed Analysis empirical equations by multi-linear regression analysis are in good agreement with ACI equations. Figure 9 illustrates the SEM image of the control and 10% epoxy resin modified spec- imens.3.3. Microstructural The results (Figure Analysis 9a) indicated the production of C-(A)-S-H gels and Ca(OH)2 in the control specimen that are primary products of the cement hydration. Figure 9b shows Figure9 illustrates the SEM image of the control and 10% epoxy resin modified that the specimen prepared with 10% epoxy resin contain hydroxyl–ion–epoxy resin that specimens. The results (Figure9a) indicated the production of C-(A)-S-H gels and Ca(OH) led to the microstructure’s improvement, reduced the porosity, and providing high2 in the control specimen that are primary products of the cement hydration. Figure9b strength performance compared to the control specimen. In the cement hydration process, shows that the specimen prepared with 10% epoxy resin contain hydroxyl–ion–epoxy resin thethat Ca(OH) led to the2 was microstructure’s generated, and improvement,it was consumed reduced partially the over porosity, C-(A) and-S-H providingproduction. high In thestrength 10% epoxy performance resin modified compared specimen, to the control the remaining specimen. Ca(OH) In the2 cement was reacted hydration with process,the un- hardened epoxy resin, creating strong bonds between the hydroxyl ions and epoxy to in- the Ca(OH)2 was generated, and it was consumed partially over C-(A)-S-H production. crease the CS. The continuous hydration reaction in the epoxy-modified mortar initiated In the 10% epoxy resin modified specimen, the remaining Ca(OH)2 was reacted with the theunhardened polymerization epoxy reactions. resin, creating These strong reactions bonds further between strengthened the hydroxyl the ionsbonds and and epoxy filled to theincrease pores the within CS. The the continuous mortar. Consequently, hydration reaction the inimproved the epoxy-modified mechanical mortarbehavior initiated was achievedthe polymerization in the epoxy reactions.-modified These mortars, reactions particularly further strengthenedthe one containing the bonds 10% andof the filled epoxy the Materials 2021, 14resin.pores, x FOR within PEER REVIEW the mortar. Consequently, the improved mechanical behavior was achieved 11 of 24

in the epoxy-modified mortars, particularly the one containing 10% of the epoxy resin.

Figure 9. SEMFigure micrographs 9. SEM micrographs of the (a) control of the ( anda) control (b) 10% and epoxy (b) 10% based epoxy mortar. based mortar.

Figure 10 shows the FTIR spectra of the normal and 10% epoxy resin modified mor- tars, which consisted of various chemical functional groups corresponding to the bonding vibration modes. The results indicated that the epoxy resin modified specimen has a higher Ca(OH)2 absorption due to residual hydroxyl ions used in the epoxy resin reaction. The FTIR spectrum indicated the Si-O, Al-O, and C-H reaction regimes in the mortar met- ric. The Si-O and Al-O bond vibration energy levels were increased from 698.8 and 787.8 cm−1 to 706.3 and 789.1 cm−1 with a corresponding rise in the epoxy resin level from 0 to 10%. Increasing demand of the OH− ion and its consumption in the production of the hardened epoxy (hydroxyl-ions-epoxy resin) affected the total amount of Ca (OH)2, which further reduced the consumption of the silica-aluminum in the hydration process. The increase in the bond vibration energy 875 to 1045 cm−1 was attributed to the generation of the high quantity of Al(OH)4, C-S-H, and C-A-S-H gels apart from the hydroxyl-ions- epoxy resin, improving the mechanical performance. The distortion of the bonds in the range of 1100 and 1800 cm−1 might be relevant to the H-O-H's bending vibrations in the H2O molecules, whereas the C-C ring of the phenol group showed stretching in the epoxy- modified specimen. The addition of 10% of the epoxy resin activated some interactions with the hydroxyl ions, and the reaction of the Ca(OH)2 with the epoxy resin caused the polymerization processes. The amount of Ca(OH)2 was found to decrease as the polymer became reactive.

Figure 10. FTIR spectra analysis of the OPC and 10% epoxy resin modified mortar.

Materials 2021, 14, x FOR PEER REVIEW 11 of 24

Materials 2021, 14, 1255 11 of 23 Figure 9. SEM micrographs of the (a) control and (b) 10% epoxy based mortar.

Figure 10 shows the FTIR spectra of the normal and 10% epoxy resin modified mor- Figure 10 shows the FTIR spectra of the normal and 10% epoxy resin modified mortars, tars, which consisted of various chemical functional groups corresponding to the bonding which consisted of various chemical functional groups corresponding to the bonding vibration modes. The results indicated that the epoxy resin modified specimen has a vibration modes. The results indicated that the epoxy resin modified specimen has a higher higher Ca(OH)2 absorption due to residual hydroxyl ions used in the epoxy resin reaction. Ca(OH)2 absorption due to residual hydroxyl ions used in the epoxy resin reaction. The TheFTIR FTIR spectrum spectrum indicated indicated the the Si-O, Si- Al-O,O, Al- andO, and C-H C- reactionH reaction regimes regimes in in the the mortar mortar metric. met- ric.The The Si-O Si and-O and Al-O Al bond-O bond vibration vibration energy energy levels levels were were increased increased from from 698.8 698.8 and 787.8 and cm787.8−1 −1 −1 cmto 706.3to 706.3 and 789.1and 789.1 cm− 1cmwithwith a corresponding a corresponding rise rise in the in epoxythe epoxy resin resin level level from from 0 to 10%.0 to − 10%.Increasing Increasing demand demand of the OH of the− ion OH and ion its and consumption its consumption in the production in the production of the hardened of the hardened epoxy (hydroxyl-ions-epoxy resin) affected the total amount of Ca (OH)2, which epoxy (hydroxyl-ions-epoxy resin) affected the total amount of Ca (OH)2, which further furtherreduced reduced the consumption the consumption of the silica-aluminum of the silica-aluminum in the hydration in the hydration process. process. The increase The increasein the bond in the vibration bond vibration energy energy 875 to 1045875 to cm 1045−1 wascm−1 attributedwas attributed to the to generationthe generation of the of the high quantity of Al(OH)4, C-S-H, and C-A-S-H gels apart from the hydroxyl-ions- high quantity of Al(OH)4, C-S-H, and C-A-S-H gels apart from the hydroxyl-ions-epoxy epoxyresin, improvingresin, improving the mechanical the mechanical performance. performance. The distortion The distortion of the of bonds the bonds in the in range the −1 −1 rangeof 1100 of and 1100 1800 and cm 1800 mightcm might be relevant be relevant to the to H-O-H’s the H-O bending-H's bending vibrations vibrations in the in H the2O Hmolecules,2O molecules, whereas whereas the the C-C C ring-C ring of of the the phenol phenol group group showed showed stretching stretching inin the epoxy epoxy-- modifiedmodified specimen. The The addition addition of of 10% 10% of the epoxy resin activated some interactions with the hydroxyl ions, and the reaction of the Ca(OH)2 with the epoxy resin caused the polymerization processes. The amount of Ca(OH) 2 waswas found found to decrease as the polymer became reactive.

Figure 10. FTIRFTIR spectra spectra analysis analysis of the OPC and 10% epoxy resin modified modified mortar mortar.. 3.4. Water Absorption (WA) Figure 11 shows the effect of various ratios of epoxy resin on water absorption (WA). The average values of three readings were adopted for each mixture. The results indicated

that the water absorption inversely proportional with the content of epoxy resin content. The WA was declined by around 70% in specimen containing 20% epoxy resin compared to the control specimen. The specimens cured under dry conditions absorb water by average 6% higher compared to wet-dry cure conditions due to the reaction of the OH− with the unhardened epoxy resin in the modified mortars. Materials 2021, 14, x FOR PEER REVIEW 12 of 24

3.4. Water Absorption (WA) Figure 11 shows the effect of various ratios of epoxy resin on water absorption (WA). The average values of three readings were adopted for each mixture. The results indicated that the water absorption inversely proportional with the content of epoxy resin content. The WA was declined by around 70% in specimen containing 20% epoxy resin compared Materials 2021, 14, 1255 to the control specimen. The specimens cured under dry conditions absorb water12 by of av- 23 erage 6% higher compared to wet-dry cure conditions due to the reaction of the OH- with the unhardened epoxy resin in the modified mortars.

Materials 2021, 14, x FOR PEER REVIEW 13 of 24

pre-loaded showed lower performance than that pre-loaded with 50% of maximum load, and the CS was recorded 13.1, 16.6, 19.2, 23.7, and 26.8 MPa for the same periods of pre- loading. Meanwhile, the OPC did not show a noticeable improvement after 5 or 11 months of pre-loading date. The results shown that the efficiency of epoxy resin as self-healing agent was highly influenced by the crack width. Specimens pro-loaded with 80% of ulti- mate load displayed lower performance in the healing process than that pre-loaded with 50% of the ultimate load. The ability of the mortars in regaining the initial CS clearly indi- cated the epoxy stimulated self-healing action. It can be asserted that the use of the epoxy resin in the absence of any hardener as the self-healing mediator is beneficial for the pro- duction of the maintenance-free mortar, thereby contributing to sustainable development

in the building sectors. FigureFigure 11. 11.Effect Effect ofof epoxyepoxyThe resinresin results content content indicate and and curing curingthat the condition c onditionhealing on efficiencyon water water absorption. absorption on CS and. UPV is much higher for specimens containing 10% epoxy resin than conventional mortar. The CS in epoxy-modi- 3.5.3.5. Self-healingSelf-healing EvaluationEvaluationfied specimen significantly improved, from 18.1 MPa after artificial crack generation using TheThe self-healingself-healing50% preefficiency efficiency-load to of ofaround epoxy epoxy 35 resin resinMPa on over on CS CS 11and andmonths pulse pulse ofvelocity healing velocity under duration. under 50 and 50Almost and80% the same 80%pre-loading pre-loading is presentedtrend is presented was in observe Figure in Figuresds for12 andpulse 12 13 velocity,and for 13control for where control specimen the velocity specimen and in specimen epoxy and- specimenmodified contain- specimens containing10%ing10% of epoxy ofwas epoxyresin, increased cu resin,red by under cured an average underwet-dry of wet-dry 23.7 condition.% after condition. spending In both In 11specimens, bothmonths specimens, of healingpre-loading pre-duration. This is an indication that the structure of the specimen is dense with fewer pores and cracks. loadingwas applied was applied at one month at one of month curing of age. curing The age. self The-healing self-healing function function was evaluated was evaluated by pre- by pre-loading mortarsThe resul byts 50% also and acknowledged 80% of maximum that the load CS andand thepulse specimens velocity werein epoxy checked resin modified loading mortars specimenby 50% and substantially 80% of maximum recovered loadafter andgeneration the specimens artificial crackswere checkedby 80% pre by- load and byusing using non non-destructive-destructive test test m method.ethod. Two Two types types of of mixtures mixtures were adopted toto evaluateevaluate thethe self-healing function;reached the initial first mixture condition was after prepared spending with 11 months 0% epoxy of healing resin andduration. considered On the aother hand, self-healing functiona low; therate first of enhancement mixture was was prepared observed with by 0%conventional epoxy resin specimen and considered after 11 months of control sample. The second mixture was prepared with 10% of epoxy resin and cured a a control sample.pre The-loading second age mixture (12 months was ofprepared curing age with), which 10% ofsignificantly epoxy resin affect ands itscured durability a per- wet-dry environment. wet-dry environment.formance. For the specimen adopted as a control sample, the strength was dropped from 30.8 MPa to 15.4 MPa after pre-loading 50% of the maximum load (Figure 12a). However, the specimens showed a slow rate of CS development, and the strength recorded 15.6, 15.9, 16.3, 16.4, and 16.8 MPa after 1, 2, 3, 5, and 11 months of pre-loading age, respectively. A similar trend was also observed with control specimens which were exposed to 80% pre- loading, and the very slow rate of strength development was recorded; the average CS after 11 months of pre-loaded date (12 month of curing age) presented 6.9 MPa compared to 6.2 MPa at the initial pre-loading (Figure 12b). Unlike, the specimens containing 10% epoxy resin presented excellent performance compared to the control sample. After 50% of pre-loading and reduced the strength from 36.2 MPa to 18.1 MPa, the compressive strength of cured specimens was developed and recorded 23.8, 24.8, 26.9, 29.5, and 35.1 MPa after 1, 2, 3, 5 and 11 months of pre-loading date, respectively. Specimens with 80%

FigureFigure 12. 12. SelfSelf-healing-healing efficie efficiencyncy of epoxy of epoxy resin resin on CS on development CS development of pre- ofloaded pre-loaded specimens specimens (a) 50% ( ba) 80%. 50% (b) 80%.

Materials 2021, 14, 1255 13 of 23 Materials 2021, 14, x FOR PEER REVIEW 14 of 24

Figure 13. 13. SelfSelf-healing-healing efficiency efficiency of ofepoxy epoxy resin resin on UPV on UPV reading reading of pre of-l pre-loadedoaded specimens specimens (a) 50% (a ()b 50%) 80% (b. ) 80%. Figure 14 shows the effects of artificial crack generation age on CS healing efficiency For the specimenof epoxy adopted-modified as morta a controlr. The sample, results indicate the strength that the was CS droppedwas recovered from to 30.8 its initial con- MPa to 15.4 MPadition after once pre-loading the cracks 50% were of generated the maximum at the load early (Figure age of curing, 12a). However, indicating theepoxy resin's specimens showedsuperior a slow efficiency rate of to CS healing development, the cracks. and Figure the 1 strength4 shows that recorded the CS 15.6, was recovered 15.9, from 16.3, 16.4, and 16.818 MPa MPa after after generating 1, 2, 3, 5, by and 50% 11 pre months-load at the of pre-loadingcuring age of age,1 month respectively. to over 35 MPa after 11 months of healing duration, indicating that cracks were completely healed by 70%. On A similar trend was also observed with control specimens which were exposed to 80% the other hand, once the artificial cracks were generated at 6 months of curing age, the CS pre-loading, and the very slow rate of strength development was recorded; the average CS only recovered by 20%, from around 19 MPa after generation of artificial cracks to 26 MPa after 11 months of pre-loaded date (12 month of curing age) presented 6.9 MPa compared after 11 months healing duration. Overall, it was concluded that there is a direct relation- to 6.2 MPa at theship initial between pre-loading artificial (Figure crack generation 12b). Unlike, age and the specimensself-healing containingefficiency, where 10% a higher epoxy resin presentedhealing excellent efficiency performance was achieved compared at a younger to thecrack control age. Figure sample. 14 also After confirmed 50% of that after pre-loading and reducedthe generation the strength of artificial from cracks, 36.2 MPa the control to 18.1 samples MPa, the without compressive epoxy did strength not recover and of cured specimensnot wasshown developed any gain andin compressive recorded 23.8, strength 24.8,. 26.9, 29.5, and 35.1 MPa after 1, 2, 3, 5 and 11 months of pre-loading date, respectively. Specimens with 80% pre-loaded showed lower performance than that pre-loaded with 50% of maximum load, and the CS was recorded 13.1, 16.6, 19.2, 23.7, and 26.8 MPa for the same periods of pre-loading. Meanwhile, the OPC did not show a noticeable improvement after 5 or 11 months of pre-loading date. The results shown that the efficiency of epoxy resin as self-healing agent was highly influenced by the crack width. Specimens pro-loaded with 80% of ultimate load displayed lower performance in the healing process than that pre-loaded with 50% of the ultimate load. The ability of the mortars in regaining the initial CS clearly indicated the epoxy stimulated self-healing action. It can be asserted that the use of the epoxy resin in the absence of any hardener as the self-healing mediator is beneficial for the production of the maintenance-free mortar, thereby contributing to sustainable development in the building sectors. The results indicate that the healing efficiency on CS and UPV is much higher for specimens containing 10% epoxy resin than conventional mortar. The CS in epoxy-modified specimen significantly improved, from 18.1 MPa after artificial crack generation using 50% pre-load to around 35 MPa over 11 months of healing duration. Almost the same trend was observed for pulse velocity, where the velocity in epoxy-modified specimens was increased by an average of 23.7% after spending 11 months of healing duration. This is an indication thatFigur thee structure 14. Effect of of art theificial specimen cracks age is on dense CS and with healing fewer efficiency pores development and cracks.. The results also acknowledged that the CS and pulse velocity in epoxy resin modified specimen Figure 15 shows the SEM morphology of the self-healing mechanism of epoxy-mod- substantially recovered after generation artificial cracks by 80% pre-load and reached initial ified specimens where artificial cracks were generated at 28, 180, and 365 days of curing condition after spending 11 months of healing duration. On the other hand, a low rate of age. The healing efficiency depends on the age of artificial cracks generation and the enhancement was observed by conventional specimen after 11 months of pre-loading age (12 months of curing age), which significantly affects its durability performance. Figure 14 shows the effects of artificial crack generation age on CS healing efficiency of epoxy-modified mortar. The results indicate that the CS was recovered to its initial Materials 2021, 14, x FOR PEER REVIEW 14 of 24

Figure 13. Self-healing efficiency of epoxy resin on UPV reading of pre-loaded specimens (a) 50% (b) 80%. Materials 2021, 14, 1255 14 of 23 Figure 14 shows the effects of artificial crack generation age on CS healing efficiency of epoxy-modified mortar. The results indicate that the CS was recovered to its initial con- dition once the cracks were generated at the early age of curing, indicating epoxy resin's condition once the cracks were generated at the early age of curing, indicating epoxy resin’s superior efficiency to healing the cracks. Figure 14 shows that the CS was recovered from superior efficiency to healing the cracks. Figure 14 shows that the CS was recovered from 18 MPa after generating by 50% pre-load at the curing age of 1 month to over 35 MPa after 18 MPa after generating by 50% pre-load at the curing age of 1 month to over 35 MPa 11 months of healing duration, indicating that cracks were completely healed by 70%. On after 11 months of healing duration, indicating that cracks were completely healed by 70%. the other hand, once the artificial cracks were generated at 6 months of curing age, the CS On the other hand, once the artificial cracks were generated at 6 months of curing age, onlythe CS recovered only recovered by 20%, byfrom 20%, around from around19 MPa 19after MPa generation after generation of artificial of artificialcracks to cracks 26 MPa to aft26er MPa 11 months after 11 healing months duration. healing duration. Overall, it Overall, was concluded it was concluded that there that is a theredirect is relation- a direct shiprelationship between between artificial artificialcrack generation crack generation age and ageself and-healing self-healing efficiency, efficiency, where a where higher a healinghigher healingefficiency efficiency was achieved was achieved at a younger at a youngercrack age. crack Figure age. 14 Figurealso confirmed 14 also confirmed that after thethat generation after the generationof artificial ofcracks, artificial the control cracks, samples the control without samples epoxy without did not epoxy recover did and not notrecover shown and any not gain shown in compressive any gain in compressivestrength. strength.

FigurFiguree 14. 14. EEffectffect of of art artificialificial cracks cracks age age on on CS CS and and healing healing efficiency efficiency development development..

FigureFigure 1155 shows shows the the SEM SEM morphology morphology of the of self the-healing self-healing mechanism mechanism of epoxy of epoxy--mod- ifiedmodified specimens specimens where where artificial artificial cracks cracks were generated were generated at 28, 180, at 28, and 180, 365 and days 365 of dayscuring of age.curing The age. healing The healing efficiency efficiency depends depends on the on agethe age of artificial of artificial cracks cracks generation generation and and the the amount of the unhardened epoxy resin and Ca(OH)2 available in the specimen’s matrix. After the generation of artificial cracks, the unhardened epoxy started reacting with the OH− from calcium hydroxide that becomes hardened and filling the cracks. Figure 15a shows the epoxy-modified specimen’s self-healing mechanism where artificial cracks were generated at 28 days of curing age. This figure shows that the produced cracks were occupied by the reaction products of the epoxy resin and OH−. Additionally, the high quantity of the C-S-H gel and Ca (OH)2 were observed from SEM results, where they are the main components associated with strength enhancement and healing the cracks. On the other hand, the SEM morphology shows once the artificial cracks were gener- ated at the later age, Figure 15b,c, a lower amount of C-S-H gel, Ca (OH)2, and hardened epoxy resin were produced, negatively affected the healing efficiency. In the self-healing mechanism, the OH− generated in the hydration process was significant for producing the C-(A)-S-H gels and self-healing system. The hydroxyl ion was needed for the occurrences of the self-healing action. In the bacteria-activated self-healing concretes, the bacterial strain reacts with the oxygen to generate the calcite, further precipitates to heal the cracks. Using a similar mechanism, the epoxy-modified mortars were prepared where the epoxy resin reacted with the OH− that enabled the hardening and healing of the cracks. Half of the epoxy resin was hardened, and the remaining one reacted as the healing agent at a later age. The reaction pathway followed the following mechanism: Materials 2021, 14, x FOR PEER REVIEW 15 of 24

amount of the unhardened epoxy resin and Ca(OH)2 available in the specimen’s matrix. After the generation of artificial cracks, the unhardened epoxy started reacting with the OH- from calcium hydroxide that becomes hardened and filling the cracks. Figure 15a shows the epoxy-modified specimen's self-healing mechanism where artificial cracks were generated at 28 days of curing age. This figure shows that the produced cracks were occupied by the reaction products of the epoxy resin and OH−. Additionally, the high quantity of the C-S-H gel and Ca (OH)2 were observed from SEM results, where they are the main components associated with strength enhancement and healing the cracks. On the other hand, the SEM morphology shows once the artificial cracks were gen- erated at the later age, Figure 15b,c, a lower amount of C-S-H gel, Ca (OH)2, and hardened epoxy resin were produced, negatively affected the healing efficiency. In the self-healing mechanism, the OH- generated in the hydration process was significant for producing the C-(A)-S-H gels and self-healing system. The hydroxyl ion was needed for the occurrences of the self-healing action. In the bacteria-activated self-healing concretes, the bacterial strain reacts with the oxygen to generate the calcite, further precipitates to heal the cracks. Using a similar mechanism, the epoxy-modified mortars were prepared where the epoxy Materials 2021, 14, 1255 resin reacted with the OH- that enabled the hardening and healing of the cracks. Half15 of of 23 the epoxy resin was hardened, and the remaining one reacted as the healing agent at a later age. The reaction pathway followed the following mechanism:

OH- (From cement hydration) + Unhardened epoxy resin → Hardened epoxy resin OH− (From cement hydration) + Unhardened epoxy resin → Hardened epoxy resin

(6) (6)

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Figure 15. SEM morphologymorphology ofof self-healingself-healing mechanism mechanism of of epoxy-modified epoxy-modified specimen specimen after after artificial artificial cracks cracks generation generation (a) ( 28a) days28 days (b) ( 180b) 180 days days (c) ( 365c) 365 days days of curingof curing age. age.

Table3 3 shows shows the the degree degree of of damage damage and and healing healing efficiency efficiency as aas measure a measure to evaluate to evaluate the theadequacy adequacy of epoxy of epoxy resin resin to healing to healing the artificial the artificial crakes. crakes. Similar Similar to CS andto CS UPV, and the UPV, degree the degreeof damage of damage and healing and healing efficiency efficiency was a function was a function of the generation of the generation age of artificial age of cracks.artificial A cracks.superior A performancesuperior performance had achieved had byachieved epoxy-modified by epoxy specimen-modified oncespecimen the artificial once the cracks arti- ficialwere generatedcracks were at angenerated early age at (1 an month) early whereage (1 themonth) degree where of damage the degree and healing of damage efficiency and healingsurpasses efficiency 2.3% and surpasses 71.8%, respectively. 2.3 and 71.8 On%, respectively. the other hand, On oncethe other the artificial hand, once cracks the were arti- ficialgenerated cracks at were the later generated curing at age the of later 6 months, curing theage healingof 6 months efficiency, the healing was declined efficiency by 70%.was declTheined degree by of70% damage. The degree also was of damage recorded also 17.8 was (from recorded the initial 17.8 damage(from the of initial 26%) indamage these ofspecimens 26%) in these after spendingspecimens 11 after months spending of healing 11 months duration. of healing duration.

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Table 3. Degree of damage and Healing efficiency of epoxy-modified mortars.

Healing Efficiency of Modified Mortar Prepared with 10% Epoxy and 50% Pre-Loaded A-Specimens pre-loaded at 1 month of curing age. Concrete curing age, month 1 2 3 4 6 12 CS of non-loaded concrete, MPa 36.2 36.6 37.1 37.5 38.2 40.2 CS of pre-loaded concrete, MPa 18.1 23.8 24.8 26.9 29.5 35.1 Healing period, month - 1 2 3 5 11 Degree of damage, % 21 11.6 9.4 8.9 8.1 2.3 Healing efficiency, % - 29.3 32 41.4 51.9 71.8 B-Specimens pre-loaded at 6 months of curing age. Concrete curing age, month 6 7 8 9 12 18 CS of non-loaded concrete, MPa 38.2 38.9 39.2 39.8 40.2 41.8 CS of pre-loaded concrete, MPa 19.1 21.1 22.3 23.9 24.8 26.7 Healing period, month - 1 2 3 5 11 Degree of damage, % 26 25.6 23.8 23.1 22.5 17.8 Healing efficiency, % - 6.8 11.5 16.7 19.4 20.9

4. Developing ANN to Estimate Degree of Damage and Healing Efficiency This section develops an ANN combined with a metaheuristic algorithm to estimate the degree of damage and healing efficiency of studied epoxy-modified specimens. The multilayer feed-forward network provides a reliable feature for the ANN structure and, therefore, was used in this research. The multilayer feed-forward network comprises three individual layers: the input layer, where the data are defined to the model; the hidden layer/s, where the input data are processed; and finally, the output layer, where the results of the feed-forward ANN are produced. Each layer contains a group of nodes referred to as neurons that are connected to the proceeding layer. The neurons in hidden and output layers consist of three components; weights, biases, and an activation function that can be continuous, linear, or nonlinear. Standard activation functions include nonlinear sigmoid functions (logsig, tansig) and linear functions (poslin, purelin) [44]. Once the architecture of a feed-forward ANN (number of layers, number of neurons in each layer, activation function for each layer) is selected, the weight and bias levels should be adjusted using training algorithms. One of the most reliable ANN training algorithms is the backpropaga- tion (BP) algorithm, which distributes the network error to arrive at the best fit or minimum error [45,46].

4.1. Firefly Optimization Algorithm (FOA) The fireflies, also known as lightning bugs, are nocturnal, luminous beetles. Several researchers have studied the behavior of this creature in nature [47]. The nature-inspired firefly algorithm is a metaheuristic algorithm proposed by Xin-She Yang et al. [48] and stimulated by its flashing behavior. In the classic firefly optimization algorithm, two fundamental aspects need to be clarified: the source light and attractiveness. The intensity of light I is referred to as an absolute measure of emitted light by the firefly, while the attractiveness β is the measure of light seen by the other fireflies. The intensity of light is defined using following equation:

−γr2 I(r) = I0e (7)

where I0 represents the intensity of the source light and γ is the absorption of light by approximating the constant coefficient. The attractiveness β define using the following equation. −γr2 β = β0e (8) Materials 2021, 14, 1255 17 of 23

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where β0 is the attractiveness at the Euclidean distance γ is define using the following equation between two fireflies si and sj, and is equal to 0:

where β0 is the attractiveness at the Euclideanv distance γ is define using the following uk=n equation between two fireflies si and sj, and isu equal to 0: 2 γij = ksi − sjkt ∑ sik − sjk (9) kk==n1 2 γij = ‖si − sj‖√∑(sik − sjk) (9) According to Equations (7) and (8), the fireflyk=1 algorithm has two asymptotic behaviors. If γ→0, the attractiveness tend to be constant (β = β0), and if γ→∞ the firefly movement followsAccording at a random to Equations walk. The (7) and firefly (8), algorithmthe firefly algorithm is being has attractive two asymptotic in civil behav- engineering andiors. material If γ→0 sciences., the attractiveness Bui et al. tend [49 ]to used be constant the firefly (β = algorithm β0), and if γ to→∞ predict the firefly the compressivemove- andment tensile follows strength at a random of high-performance walk. The firefly algorithm concrete. is Sheikholeslami being attractive in et civil al. [engineer-50] developed aning improved and material firefly sciences. algorithm Bui et toal. optimize[49] used the reinforced firefly algorithm concrete to predict retaining the walls.compres- Nigdeli sive and tensile strength of high-performance concrete. Sheikholeslami et al. [50] devel- et al. [51] developed a firefly algorithm to optimize footings. oped an improved firefly algorithm to optimize reinforced concrete retaining walls. 4.2.Nigdeli Generation et al. [ of51 Training] developed and a Testing firefly algorithm Data Sets to optimize reinforced concrete footings. 4.2.To Generation train and of developTraining and a reliable Testing ANN,Data Sets epoxy-modified design mixes’ mechanical and materialTo properties train and develop were taken a reliable into ANN, account epoxy based-mod onified input design variables, mixes’ mechanical Table4. and material properties were taken into account based on input variables, Table 4. Table 4. Characteristics of studied input and output parameters. Table 4. Characteristics of studied input and output parameters. Number Parameter Type Unit Max Min Average STD Number Parameter Type Unit Max Min Average STD 1 Epoxy Input kg/m3 50.6 0 37.95 22.22 1 Epoxy Input kg/m3 50.6 0 37.95 22.22 2 Pre-Load at Age Input (Day) 360 28 149 138.65 32 Healing DurationPre-Load at Age InputInput (Month) (Day) 36 360 128 149 14 138.65 10.71 43 CSHealing Duration InputInput (MPa) (Month) 39.6 36 15.61 14 25.2 10.71 6.79 54 UPVCS InputInput (km/s) (MPa) 4.26 39.6 2.9315.6 25.2 3.45 6.79 0.37 65 Water AbsorptionUPV InputInput (%) (km/s) 14.8 4.26 5.52.93 3.45 9.57 0.37 3.08 76 Observation DegreeWater of Absorption damage OutputInput (%) (%) 0.27 14.8 −0.085.5 9.57 0.16 3.08 0.09 87 ObservationObservation Healing efficiencyDegree of damage Output Output (%) (%) 118.78 0.27 0−0.08 0.16 34.04 0.09 34.7 8 Observation Healing efficiency Output (%) 118.78 0 34.04 34.7 SinceSince the the behavior behavior andand number of of input input data data should should be statistically be statistically evaluated evaluated against against thethe output output data, data, Figure Figure 1616 shows the the probability probability plot plot of o ofutput output data. data.

(a) (b) Figure 16. probability plot for output variables (a) degree of damage and (b) healing efficiency. Figure 16. Probability plot for output variables (a) degree of damage and (b) healing efficiency.

TheThe ANN ANN used used inin thisthis study is is a a new new feed feed-forward-forward model. model. Eighty Eighty percent percent of input of input data, out of 36 samples, were used for training, and the remaining 20% were considered data, out of 36 samples, were used for training, and the remaining 20% were considered for for testing the network. According to the characteristics of the available input data and testing the network. According to the characteristics of the available input data and the number of outputs, a two-layer ANN was proposed in the initial attempt, and its adequacy was evaluated by using several measures. Therefore, the trial and error method is used to obtain the ideal architecture, the architecture that best reflects the characteristics of the

Materials 2021, 14, 1255 18 of 23

laboratory data. In this research, an innovative method for calculating the number of neurons in hidden layers was taken into account, as shown in the following Equation

NH ≤ 2NI + 1 (10)

where NH is the number of neurons in the hidden layers and NI is the number of input variables. Since the number of effective input variables is 6, the empirical equation shows that the number of neurons in hidden layers can be less than 13. Therefore, several networks with different topologies, with a maximum of two hidden layers and a maximum of 13 neurons, were trained and studied in this study. The hyperbolic tangent stimulation function and Levenberg—Marquardt training algorithm were used in all networks. The statistical indices used to evaluate the performance of different topologies are Root Mean Squared Error (RMSE), Average Absolute Error (AAE), Model Efficiency (EF), and Variance Account Factor (VAF) that are defined as follows.

n 1 2 MSE = ∑(Pi − Oi) (11) n i=1

1 n ME = ∑(Pi − Oi) (12) n i=1 1 n MAE = ∑|Pi − Oi| (13) n i=1

1 " n # 2 1 2 RMSE = ∑(Pi − Oi) (14) n i=1 After examining different topologies, it was found that the network with 6-6-4-2 topology has the lowest value of error in RMSE, AAE, EF, VAF and the highest value of R2 to estimate the two output parameters as shown in Table5. It is necessary to mention that the error criteria for training and testing the data are calculated in the main range of variables and not in the normal range.

Table 5. Statistical indices of ANN with 6-6-4-2 topology combined with FOA.

Training Testing MSE ME MAE RMSE MSE ME MAE RMSE 2.94 0.26 0.92 1.71 3.72 0.89 1.11 1.93

Materials 2021, 14, x FOR PEER REVIEW 20 of 24 Figure 17 shows the topology of a feed-forward network with two hidden layers, six input variables (neurons), and two output parameters.

Figure 17. 17. TheThe topology topology of a of feed a feed-forward-forward with withtwo hidden two hidden (6-6-4-2). (6-6-4-2).

To optimize the ANN's weights and biases, the FOA has been used to provide the least prediction error for trained structure. The properties of the FOA parameters are shown in Table 6.

Table 6. Properties of FOA parameters.

Parameter Value Parameter Value Population size 100 Attraction coefficient base value 2 Mutation coefficient 0.25 Mutation coefficient damping ratio 0.99 Light absorption coefficient 1 M (exponent of distance term) 2

4.3. Results The results of the FOA-ANN models are shown in Figures 18 and 19 for the degree of damage and healing efficiency output parameters, respectively. The results indicate that the FOA-ANN estimated a reliable result for the ratio of observational to computa- tional values, R2, for both input parameters, indicating the proposed model's high poten- tial and accuracy.

(a) (b) Figure 18. Predicted versus Experimental values of degree of damage output using (a) training data, (b) testing data.

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Materials 2021, 14, 1255 19 of 23 Figure 17. The topology of a feed-forward with two hidden (6-6-4-2).

To optimize the ANN's weights and biases, the FOA has been used to provide the least To predict optimizeion error the ANN’s for trained weights structure. and biases, The the properties FOA has been of the used FOA to provide parameters theleast are shownprediction in Table error 6 for. trained structure. The properties of the FOA parameters are shown in Table6. Table 6. Properties of FOA parameters. Table 6. Properties of FOA parameters. Parameter Value Parameter Value PopulationParameter size 100 Value Attraction coefficient Parameter base value Value2 MutationPopulation coefficient size 0.25 100 Mutation Attraction coefficient coefficient damping base value ratio 20.99 LightMutation absorption coefficient coefficient 1 0.25 MMutation (exponent coefficient of distance damping term) ratio 0.992 Light absorption coefficient 1 M (exponent of distance term) 2 4.3. Results 4.3. ResultsThe results of the FOA-ANN models are shown in Figures 18 and 19 for the degree of damageThe results and healing of the FOA-ANN efficiency modelsoutput areparameters, shown in Figuresrespectively. 18 and The 19 forresults the degreeindicate of thatdamage the FOA and- healingANN estimated efficiency a outputreliable parameters, result for the respectively. ratio of observational The results indicateto computa- that tionalthe FOA-ANN values, R2 estimated, for both input a reliable parameters, result for indicating the ratio ofthe observational proposed model's to computational high poten- 2 tialvalues, and Raccuracy., for both input parameters, indicating the proposed model’s high potential and accuracy.

Materials 2021, 14, x FOR PEER REVIEW 21 of 24 (a) (b)

FigureFigure 18. 18. PredictedPredicted versus versus Experimental Experimental values values of of degree degree of of damage damage output output using ( a)) training training data, data, ( b) testing data data..

(a) (b)

FigureFigure 19. 19. PredictedPredicted versus versus Experimental Experimental values values of of healing healing efficiency efficiency output output using using ( (aa)) training training data, data, ( (bb)) testing testing data data..

Table 7 provide the final weights and biases for both hidden layers estimated by the FOA-ANN model. Using the values of the weights and biases between the different ANN layers, the two output parameters (degree of damage and healing efficiency) can be deter- mined and predicted. Furthermore, these final weights and bias values can be used to design an epoxy-modified mortar with targeted mechanical properties and healing effi- ciency.

Table 7. Final weights and bias values of the optimum FA-ANN model 6-6-4-2.

IW b1 −0.2226 0.6913 0.7234 0.4921 −0.2198 0.7664 0.3660 0.5876 0.2296 0.0543 −0.9068 −0.8038 0.7919 −0.4297 0.8156 0.8708 0.2050 −0.7444 −0.4160 −0.3075 0.9485 0.3177 −0.3422 −0.9205 −0.8923 0.5018 −0.0903 −0.4386 0.0142 −0.9034 −0.3105 0.9778 0.5866 0.3670 −0.0370 −0.7485 −0.0284 −0.7803 −0.2927 0.7430 −0.8874 −0.8910 LW1 b2 0.1391 −0.6483 −0.9244 −0.2580 0.3317 −0.2730 −0.5625 0.1451 −0.9574 0.9974 0.7265 −0.0867 −0.6183 0.5001 −0.0218 0.1769 −0.2386 0.5438 −0.2493 −0.0382 −0.8893 0.3847 −0.1255 −0.1702 0.4274 −0.7884 −0.6989 0.2426 LW2 b3 −0.4282 0.0805 0.6376 0.7041 - - 0.0395 0.7643 0.4558 −0.4930 −0.4541 - - −0.3842 IW: Weights values for Input Layer, LW1: Weights values for First Hidden, LW2: Weights values for Second Hidden Layer, b1: Bias values for First Hidden Layer, b2: Bias values for Second Hid- den Layer, b3: Bias values for Output Layer.

5. Conclusions This research investigated the application of epoxy resin polymer as a self-healing strategy for improving the mechanical and durability properties of cement-based mortar. Several mixes were designed with various ratios of the epoxy resin to OPC to assess the efficiency of the epoxy as the self-healing agent. The mechanical properties, ultrasonic pulse velocity (UPV), and SEM morphologies were recorded to determine the feasibility

Materials 2021, 14, 1255 20 of 23

Table7 provide the final weights and biases for both hidden layers estimated by the FOA-ANN model. Using the values of the weights and biases between the different ANN layers, the two output parameters (degree of damage and healing efficiency) can be determined and predicted. Furthermore, these final weights and bias values can be used to design an epoxy-modified mortar with targeted mechanical properties and healing efficiency.

Table 7. Final weights and bias values of the optimum FA-ANN model 6-6-4-2.

IW b1 −0.2226 0.6913 0.7234 0.4921 −0.2198 0.7664 0.3660 0.5876 0.2296 0.0543 −0.9068 −0.8038 0.7919 −0.4297 0.8156 0.8708 0.2050 −0.7444 −0.4160 −0.3075 0.9485 0.3177 −0.3422 −0.9205 −0.8923 0.5018 −0.0903 −0.4386 0.0142 −0.9034 −0.3105 0.9778 0.5866 0.3670 −0.0370 −0.7485 −0.0284 −0.7803 −0.2927 0.7430 −0.8874 −0.8910 LW1 b2 0.1391 −0.6483 −0.9244 −0.2580 0.3317 −0.2730 −0.5625 0.1451 −0.9574 0.9974 0.7265 −0.0867 −0.6183 0.5001 −0.0218 0.1769 −0.2386 0.5438 −0.2493 −0.0382 −0.8893 0.3847 −0.1255 −0.1702 0.4274 −0.7884 −0.6989 0.2426 LW2 b3 −0.4282 0.0805 0.6376 0.7041 - - 0.0395 0.7643 0.4558 −0.4930 −0.4541 - - −0.3842 IW: Weights values for Input Layer, LW1: Weights values for First Hidden, LW2: Weights values for Second Hidden Layer, b1: Bias values for First Hidden Layer, b2: Bias values for Second Hidden Layer, b3: Bias values for Output Layer.

5. Conclusions This research investigated the application of epoxy resin polymer as a self-healing strategy for improving the mechanical and durability properties of cement-based mortar. Several mixes were designed with various ratios of the epoxy resin to OPC to assess the efficiency of the epoxy as the self-healing agent. The mechanical properties, ultrasonic pulse velocity (UPV), and SEM morphologies were recorded to determine the feasibility of implementing the epoxy resin as the self-healing agent in mortar manufacturing. In addition, by using the available experimental test database, an optimized ANN model combined with the firefly optimization algorithm (FOA-ANN) was developed to estimate the degree of damage and healing efficiency of mix designs. The following provides the main findings of this research. (1) The final setting time and water absorption were significantly decreased by increasing the epoxy resin content in the modified mortar compared to a conventional specimen. (2) The best mechanical properties were achieved by a specimen containing 10% epoxy − resin, attributed to the presence of OH ions from the hydration of Ca(OH)2. However, the mechanical properties significantly decreased by increasing epoxy resin content from 10 to 15 and 20%. Such phenomenon can explain by the residual unhardened epoxy within the mortar matrix that may interrupt the hydration and polymerization processes. (3) The SEM images indicated that the specimen prepared with 10% epoxy resin contain hydroxyl–ion–epoxy resin that led to the microstructure’s improvement, reduced the porosity, and providing high strength performance compared to the control specimen. In addition, in this specimen, the Ca(OH)2 was reacted with the unhardened epoxy resin, creating strong bonds between the hydroxyl ions and epoxy to increase the CS. (4) The healing efficiency on CS and UPV is much higher for the specimen containing 10% epoxy resin than the conventional mortar. Furthermore, it was concluded that there is a direct relationship between artificial crack age and self-healing efficiency, Materials 2021, 14, 1255 21 of 23

where a higher healing efficiency was achieved at a younger crack age. Similarly, the degree of damage and healing efficiency were recorded 2.3 and 71.8%, respectively for the epoxy-modified specimen once the artificial cracks were generated at an early age. (5) The ANN combined with the metaheuristic firefly algorithm provided satisfactorily results to estimate the degree of damage and healing efficiency in epoxy-modified specimens. Furthermore, the firefly algorithm optimization can also be used as a powerful tool in optimizing ANN weights. By using the optimized weight and bias of FOA-ANN, it is possible to design mixes with targeted degree of damage and healing efficiency depending on the particular environment.

Author Contributions: Conceptualization, M.H.B.; methodology, G.F.H. and A.R.M.S.; software, I.F.; validation, I.F. and G.F.H.; formal analysis, I.F.; investigation, I.F. and G.F.H.; resources, G.F.H.; data curation, G.F.H. and A.R.M.S.; writing—original draft preparation, G.F.H.; writing—review and editing, A.R.M.S. and I.F.; visualization, M.H.B.; supervision, M.H.B.; project administration, M.H.B.; funding acquisition, A.R.M.S. All authors have read and agreed to the published version of the manuscript. Funding: This research was supported and funded by the UTM COE research grants Q.J130000.2409.0 4G00 and FRGS grant R.J130000.7822.4F722. Institutional Review Board Statement: Not applicable. Informed Consent Statement: Not applicable. Data Availability Statement: Data sharing not applicable. Conflicts of Interest: The authors declare no conflict of interest.

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