STUDIES ON PREPARATION OF CYCLIC OLEFIN COPOLYMER BLENDS AND CHARACTERIZATION OF THEIR MECHANICAL, THERMAL AND BARRIER PROPERTIES
Thesis submitted to Gujarat Technological University
For the Award of
Doctor of Philosophy
in
Chemical Engineering
By
SHAH HETALBEN CHANDRAVADAN
Enrollment No: 149997105009
Under Supervision of
Dr. Sudhir Kumar Nema
GUJARAT TECHNOLOGICAL UNIVERSITY AHMEDABAD
APRIL– 2021
STUDIES ON PREPARATION OF CYCLIC OLEFIN COPOLYMER BLENDS AND CHARACTERIZATION OF THEIR MECHANICAL, THERMAL AND BARRIER PROPERTIES
Thesis submitted to Gujarat Technological University
For the Award of
Doctor of Philosophy
in
Chemical Engineering
By
SHAH HETALBEN CHANDRAVADAN
Enrollment No: 149997105009
Under Supervision of
Dr. Sudhir Kumar Nema
GUJARAT TECHNOLOGICAL UNIVERSITY AHMEDABAD
APRIL– 2021
i
© Shah Hetalben Chandravadan
ii
DECLARATION
I declare that the thesis entitled “Studies on Preparation of Cyclic Olefin Copolymer Blends and Characterization of Their Mechanical, Thermal and Barrier Properties” submitted by me for the degree of Doctor of Philosophy is the record of research work carried out by me during the period from May 2015 to September 2019 under the supervision of Dr. Sudhir Kumar Nema and this has not formed the basis for the award of any degree, diploma, associateship, fellowship, titles in this or any other University or other institution of higher learning.
I further declare that the material obtained from other sources has been duly acknowledged in the thesis. I shall be solely responsible for any plagiarism or other irregularities, if noticed in the thesis.
Signature of the Research Scholar: Date: 12/04/2021
Name of Research Scholar: Shah Hetalben Chandravadan
Place: Ahmedabad
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CERTIFICATE
I certify that the work incorporated in the thesis “Studies on Preparation of Cyclic Olefin Copolymer Blends and Characterization of Their Mechanical, Thermal and Barrier Properties” submitted by Ms. Shah Hetalben Chandravadan was carried out by the candidate under my supervision/guidance. To the best of my knowledge: (i) The candidate has not submitted the same research work to any other institution for any degree/diploma, Associateship, Fellowship or other similar titles (ii) The thesis submitted is a record of original research work done by the Research Scholar during the period of study under my supervision, and (iii) The thesis represents independent research work on the part of the Research Scholar.
Signature of Supervisor: Date: 12/04/2021
Name of Supervisor: Dr. Sudhir Kumar Nema
Place: Ahmedabad
iv
Course-work Completion Certificate
This is to certify that Ms. Shah Hetalben Chandravadan enrolment no. 149997105009 is a PhD scholar enrolled for PhD program in the branch CHEMICAL ENGINEERING of Gujarat Technological University, Ahmedabad.
(Please tick the relevant option(s))
He/She has been exempted from the course-work (successfully completed during M.Phil Course)
He/She has been exempted from Research Methodology Course only (successfully completed during M.Phil Course)
√√√ He/She has successfully completed the PhD course work for the partial requirement for the award of PhD Degree. His/ Her performance in the course work is as follows-
Grade Obtained in Research Methodology Grade Obtained in Self Study Course (Core Subject)
(PH001) (PH002)
BB AB
(Dr. Sudhir Kumar Nema)
PhD Supervisor
v
Originality Report Certificate
It is certified that PhD Thesis titled “Studies on Preparation of Cyclic Olefin Copolymer Blends and Characterization of Their Mechanical, Thermal and Barrier Properties” by Ms. Shah Hetalben Chandravadan has been examined by us. We undertake the following: a. Thesis has significant new work / knowledge as compared already published or are under consideration to be published elsewhere. No sentence, equation, diagram, table, paragraph or section has been copied verbatim from previous work unless it is placed under quotation marks and duly referenced. b. The work presented is original and own work of the author (i.e. there is no plagiarism). No ideas, processes, results or words of others have been presented as Author own work. c. There is no fabrication of data or results which have been compiled / analyzed.
d. There is no falsification by manipulating research materials, equipment or processes, or changing or omitting data or results such that the research is not accurately represented in the research record. e. The thesis has been checked using URKUND (copy of originality report attached) and found within limits as per GTU Plagiarism Policy and instructions issued from time to time (i.e. Permitted similarity index <10%).
Signature of the Research Scholar: Date: 12/04/2021
Name of Research Scholar: Shah Hetalben Chandravadan
Place: Ahmedabad
Signature of Supervisor: Date: 12/04/2021
Name of Supervisor: Dr. Sudhir Kumar Nema
Place: Ahmedabad
vi
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Submitted 4/6/2021 9:37:00 PM Submitted by Hetalben Chandravadan Shah
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Sources included in the report
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URL: https://www.sciencedirect.com/science/article/pii/S0014305718309819 1 Fetched: 4/6/2021 9:39:00 PM
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URL: http://ijream.org/papers/IJREAMV04I1147033.pdf 24 Fetched: 1/3/2021 5:17:15 PM
URL: https://www.arxiv.org/pdf/1701.02077 3 Fetched: 4/6/2021 9:39:00 PM
URL: http://productividad.cimav.edu.mx/productividad/adjuntos/articulorevista/2877/2018 ... 3 Fetched: 4/6/2021 9:39:00 PM
URL: https://www.sciencedirect.com/topics/materials-science/polymer-blend 1 Fetched: 4/6/2021 9:39:00 PM
URL: https://juniperpublishers.com/rapsci/RAPSCI.MS.ID.555699.php 1 Fetched: 4/6/2021 9:39:00 PM
URL: https://www.researchgate.net/publication/223032106_Oriented_structure_and_anisotro ... 1 Fetched: 4/26/2020 1:31:32 AM
URL: https://www.researchgate.net/publication/230691119_Thermal_Thermo-Mechanical_and_D ... 2 Fetched: 12/16/2019 5:56:32 PM
URL: https://www.researchgate.net/publication/264261865_Phase_morphology_of_PPCOC_blends 2 Fetched: 12/16/2019 5:57:00 PM
URL: https://www.researchgate.net/publication/324507130_Effect_of_Cyclo-Olefin_Copolyme ... 2 Fetched: 4/6/2021 9:39:00 PM
URL: https://www researchgate net/publication/230462603 High-density polyethylenecycloo 1 Fetched: 12/18/2019 3:26:29 AM
URL: https://www.polyplastics.com/en/product/lines/film/packaging_e.pdf 2 Fetched: 4/6/2020 5:49:28 PM
URL: https://topas.com/sites/default/files/files/Packaging_E_2014-06.pdf 2 Fetched: 9/11/2020 6:46:52 PM
URL: https://core.ac.uk/download/pdf/153515856.pdf 1 Fetched: 4/6/2021 9:39:00 PM
URL: https://1library.net/document/y9d643wq-copolymer-loading-polyethylene-characteriza ... 2 Fetched: 9/11/2020 5:29:09 PM
URL: https://www.researchgate.net/publication/327120715_Effect_of_LLDPE_on_Aging_Resist ... 1 Fetched: 4/6/2021 9:39:00 PM
URL: https://topas.com/tech-center/performance-data/modulus-blends 1 Fetched: 4/6/2021 9:39:00 PM
PhD THESIS Non-Exclusive License to GUJARAT TECHNOLOGICAL UNIVERSITY
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Any abstract submitted with the thesis will be considered to form part of the thesis. f) I represent that my thesis is my original work, does not infringe any rights of others,
including privacy rights, and that I have the right to make the grant conferred by this
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vii
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copyright in my thesis, in any way consistent with rights granted by me to my
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copyright in my thesis of the rights granted by me to my University in this non-
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policy matters related to authorship and plagiarism.
Signature of the Research Scholar:
Name of Research Scholar: Shah Hetalben Chandravadan
Date: 12/04/2021 Place: Ahmedabad
Signature of Supervisor:
Name of Supervisor: Dr. Sudhir Kumar Nema
Date: 12/04/2021 Place: Ahmedabad
Seal:
viii
Thesis Approval Form
The viva-voce of the PhD Thesis submitted by Ms. Shah Hetalben Chandravadan (Enrollment N o .149997105009) entitled “Studies on Preparation of Cyclic Olefin Copolymer Blends and Characterization of Their Mechanical, Thermal and Barrier Properties” was conducted on Monday, 12 th April 2021 at Gujarat Technological University.
(Please tick any one of the following option)
The performance of the candidate was satisfactory. We recommend that he/she be awarded the PhD degree.
Any further modifications in research work recommended by the panel after 3 months from the date of first viva-voce upon request of the Supervisor or request of Independent Research Scholar after which viva-voce can be re-conducted by the same panel again.
(Briefly specify the modifications suggested by the panel)
The performance of the candidate was unsatisfactory. We recommend that he/she should not be awarded the PhD degree.
(The panel must give justifications for rejecting the research work)
Dr. Sudhir Kumar Nema Dr. D.D.Kale Name and Signature of Supervisor with Seal 1) (External Examiner 1) Name and Signature
Dr. Nishant Pandya 2) (External Examiner 2) Name and Signature
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Abstract
In this study, Linear low density polyethylene (LLDPE)/ cyclic olefin copolymer (COC) were melt blended for different compositions (95/05, 90/10, 85/15, 80/20) by using Haake co- rotating twin screw extruder equipped with a blown film unit to make films and sheets using compression molding press. Effects of COC loading in LLDPE on mechanical properties such as tensile strength, elongation, tensile modulus and tear strength in both machine as well as transverse direction were investigated. Thermal properties such as Dynamic Mechanical Analysis (DMA) and Differential Scanning Calorimeter (DSC) were analyzed. Oxygen Transmission Rate (OTR) and Water Vapor Transmission Rate (WVTR) were carried out to study barrier properties of film. Melt Flow Index (MFI) analysis, X-ray Diffraction (XRD), Scanning Electron Microscopy (SEM) and Fourier Transform Infrared Spectroscopy (FTIR) were analyzed. There was remarkable increase in Tensile strength and modulus was observed. When only 10% COC is added, the modulus increases threefold, and when 20% COC is added, the modulus increases fivefold over that of LLDPE. The addition of stiffened COC accounted for the reduction of elongation in the LLDPE/COC blends film. The effect of COC loading on melting temperature and degree of crystallinity was investigated using a differential scanning calorimetric analysis (DSC) on polymers and their blends. The presence of COC had no effect on the melting (T m) or crystalline temperature (T c) of LLDPE, according to the study. Dynamic mechanical study showed increase in storage modulus for all LLDPE/COC blend ratio. The increase in storage modulus is due to presence of stiffened COC in the LLDPE/COC blends. Tan δ value increases due to the increase in the amorphous content of the system with an increase in the COC content. The reduction in oxygen and water vapor transmission rates was observed because addition of high dense COC domains. Bulky norbornene units of COC forces the gas molecules to follow the longer path. Plasma treatment using Hexamethyl Disiloxane (HMDSO) was carried out to further study the oxygen and water vapor transmission rates of 5 and 10 wt % COC. SiO x was expected to give partially cross linked coating also known as protective barrier coating, which could help in improving the barrier properties. Melt flow index analysis was performed to determine the melt blend's ease of flow. The MFI values of the LLDPE/COC blend increased as the temperature rose, which was due to a decrease in viscosity.
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A relatively good adhesion between the COC and the LLDPE matrix was observed by scanning electron microscopy and samples do not show co-continuous or matrix-droplet type morphology , which can be correlated with increase in mechanical and barrier properties. FTIR was used to determine and compare the characteristic absorption peaks of LLDPE, COC, and LLDPE/COC blends. X-ray diffraction was carried out to study the effect of blend composition on crystallinity. There are slight changes observed in the crystalline structure of LLDPE after addition of COC, However, significant changes are not observed. Findings of this work may provide useful insights to prepare better quality blends using commodity polyolefin i.e., LLDPE and engineering polyolefin i.e., COC for various packaging applications.
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Acknowledgement
“It gives me immense pleasure to remember the ocean of guidance, support and encouragement from Supreme God.”
I am deeply thankful to my supervisor Dr. Sudhir Kumar Nema , (Scientific Officer –H, FCIPT (IPR)-Gandhinagar) for his unconditional support during each and every stage across the tenure of this research work. The research would not have come to this shape without his deep involvement. I thank him for his critical observations about my capabilities and limitations, which brought a significant change in my development during this research. I am very much thankful to my DPC members, Dr. R. Sengupta (Professor Chemical engineering department) and Dr. Sandeep Rai (GRP limited-Ankleshwar) for their guidance and focused reviews across the tenure of the research, which helped me understand my work in great depths.
I am truly blessed to have encouragement and support from Mr. Pradip Mukherji. I am extremely thankful to Prof. R N Desai , Prof. N.M Patel , Prof. B. G. Basantani , Prof. K. P. Jain , Prof. Stuti Shah , Prof. S. R. Shah and Ms. Jagravi, who stood by me wherever I needed their support. I am very much thankful to all LDCE staff for their motivation and support at all stages of this work.
I also extend my heartful thanks towards Mr.Timothy Kneale , (President, TOPAS Advance Polymers, USA) for his help in supply of COC material free of cost for research purpose and Dr. Pradeep Upadhyay (Principal Director & Head-CIPET Ahmedabad) for his support. I greatly appreciate and acknowledge the support received from institutions and laboratories.
I am also thankful to FCIPT, Gandhinagar, especially to Ms.Purvi Dave for their constant help & all the related facilities. I am thankful to Mr. Purvish Patel (Packaging Solutions), Mr. Parag Parikh and Mr. Harshad (Universal Masterbatch LLP), Mr. Manish Bhai (Deepak Polyplast) for their guidance and ever readiness to help me in this research. I am grateful to the individuals, who contributed directly or indirectly to this report by providing me with the necessary information and valuable suggestions. xii
Finally, I acknowledge the people who mean a lot to me, my parents Mr. Chandravadabhai & Ms. Hansaben and my parents in laws , Mr.Dalpatbhai and Ms.Pinakini , who always supported me with love and their support to manage life along with this research. Besides all this, I am highly thankful to my life partner Mr. Nirav for his unconditional support to overcome difficult stages during the tenure of this research and showing confidence in me and giving me freedom to choose what is best for me, without his support, care, flawless love, patience, and sacrifice, it would not possible to achieve this goal. I love you all for giving shape my life & study. I would never be able to repay the love and warmth showered upon by my loved ones. I will always remain obliged to the wonderful group of friends who always stood by me whenever I needed them.
Hetal Shah
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Dedicated to………. Supreme God Pradip Mukherji Sir and My beloved husband, Nirav
Table of Content
Declaration ………………………………………………………………………………... iii Certificate …………………………………………………………………………………. iv Course-work Completion Certificate ……………………………………………………... v Originality Report Certificate …………………………………………………………….. vi
PhD Thesis Non-Exclusive License ………………………………………………………. vii Thesis Approval Form …………………………………………………………………….. ix Abstract …………………………………………………………………………………… x Acknowledgement ………………………………………………………………………… xii Table of Content ...... xiv
List of Abbreviation ...... xviii
List of Symbols ...... xxi
List of Figures ...... xxiii
List of Tables ...... xxviii
CHAPTER 1 ...... 1
Introduction ...... 1
Polymer blends...... 1
1.1.1 Background ...... 1
1.1.2 Classification of polymer blends ...... 2
Thermodynamic approach to the miscibility of polymer blends ...... 3
Preparation and manufacture of polymer blends ...... 5
Different techniques used in characterization of blends ...... 8
Properties of polymeric blends ...... 16
xiv
Sector wise applications of polymer blends and alloys ...... 17
Polymer blending for packaging Applications ...... 18
Commonly used plastics in flexible packaging ...... 20
Processes for film converting for flexible packaging ...... 24
1.9.1 Comparison of Blown and Cast Film Processes ...... 26
Typical Properties for Flexible Packaging Films...... 27
Importance of various properties on polymer packaging ...... 29
Techniques used in the present study...... 35
Thesis organization ...... 36
CHAPTER 2 ...... 38
Literature Review...... 38
Polymer - Polymer blends ...... 38
Plasma Enhanced chemical vapor deposition (PECVD): SiO x Coating ...... 55
Definition of the problem...... 59
Identified gaps in the literature ...... 60
Objectives and Scope of work ...... 61
CHAPTER 3 ...... 63
Materials and Methodology ...... 63
Materials ...... 63
3.1.1 Cyclic Olefin Copolymer (COC) ...... 63
3.1.2 Linear low density polyethylene (LLDPE) ...... 63
Preparation of blends ...... 64
Sample Preparation ...... 66
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3.3.1 Compression molding ...... 66
3.3.2 Blown film ...... 66
3.3.3 Experimental Setup & Plasma Production ...... 67
Sample characterization ...... 69
3.4.1 Melt flow Index (MFI) ...... 69
3.4.2 Differential scanning calorimetry (DSC) ...... 70
3.4.3 Dynamic mechanical analysis ...... 72
3.4.4 Mechanical properties ...... 73
3.4.5 FTIR spectroscopy ...... 74
3.4.6 X-ray diffraction ...... 75
3.4.7 Morphological analysis ...... 77
3.4.8 Barrier properties ...... 77
CHAPTER 4 ...... 81
Blends: Processing and Thermal properties ...... 81
Introduction ...... 81
Compounding of polymer blends...... 82
Melt flow analysis ...... 83
Blown Film Extrusion ...... 86
Study of Thermal Properties ...... 89
4.5.1 Differential Scanning Calorimetric study ...... 89
4.5.2 Dynamic Mechanical Analysis ...... 94
CHAPTER 5 ...... 105
5 Blends: Mechanical, Morphological and Barrier Properties ...... 105
Introduction ...... 105
Study of Mechanical Properties ...... 106
xvi
FTIR spectroscopic study ...... 110
X-ray Diffraction study ...... 116
Study of Barrier Properties ...... 119
5.5.1 Plasma enhanced PECVD for SiO x coating ...... 124
5.5.2 Experimental demonstration to study barrier properties of blend films ...... 127
Outcomes with respect to objectives ...... 132
CHAPTER 6 ...... 135
Conclusion ...... 135
Conclusion and Future Scope of Work ...... 135
References ...... 139
List of Publications ...... 148
Appendix A ...... 149
Appendix B ...... 151
Appendix C ...... 154
Appendix D ...... 159
Appendix E ...... 183
Appendix F...... 184
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List of Abbreviation
AFM Atomic Force Microscopy AlOx Aluminum Oxide ANS Acrylonitrile Styrene ASTM American Society For Testing and Materials BR Blow Ratio BUR Blown-up ratio COC Cyclic Olefin Copolymer CPE Chlorinated Polyethylene CTFE Chlorotrifluoroethylene DSC Differential Scanning Calorimetry DTA Differential Thermal Analysis EAA Ethylene Acrylic Acid ECO Ethylene/Carbon Monoxide EMA Ethylene Methacrylate EOC Ethylene-Octene Copolymer EPDM Ethylene-Propylene-Diene Monomer EVA Ethylene Vinyl Acetate EVOH Ethylene Vinyl Alcohol Copolymers FRR Flow Rate Ratio FTIR Fourier Transform Infrared Spectroscopy FWHM Full Width at Half Maximum HDPE High Density Polyethylene HMDSO Hexamethyldisiloxane IPN Interpenetrating Polymer Networks IR Infrared LCB Long Chain Branching LCST Lower Critical Solution Temperature LDPE Low Density Polyethylene LFW Layflat Width
xviii
LLDPE Linear Low Density Polyethylene MAH Maleic Anhydride MAXS Medium-Angle X-Ray Scattering MD Machine Direction MFI Melt Flow Index MVTR Moisture Vapor Transmission Rate MW Molecular Weight MWD Molecular Weight Distribution NMR Nuclear Magnetic Resonance OPS Oriented Polystyrene OTR Oxygen Transmission Rate PA Polyamide PAB Polymer Alloy and Blends PAN Polyacrylonitrile PA-PVD Plasma Assisted Physical Vapour Deposition PE Polyethylene PECVD Plasma-Enhanced Chemical Vapor Deposition PEN Polyethylene Naphthalate PET Poly Ethylene Terephthalate PEVA Polyethylenevinyl Acetate PGA Polyglycolic Acid PHA Polyhydroxyalkanoates PLA Polylactic Acid PMMA Polymethylmethacrylate POE Polyolefin Elastomer PP Polypropylene PS Polystyrene PVC Polyvinyl Chloride PVDC Polyvinylidene Chloride PVOH Polyvinyl Alcohol RH Relative Humidity SAXS Small-Angle X-Ray Scattering SEM Scanning Electron Microscopy
SiO x Silicone Oxide
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TD Transverse Direction TEM Transmission Electron Microscopy TGA Thermo Gravimetric Analysis TMA Thermo Mechanical Analysis UCST Upper Critical Solution Temperature UHMWPE Ultra High Molecular Weight High Density Polyethylene VLDPE Very Low Density Polyethylene VTMOS Vinyl Trimethoxy Silane WAXD Wide-Angle X-Ray Diffraction WAXS Wide-Angle X-Ray Scattering WVTR Water Vapor Transmission Rate XRD X-Ray Diffraction
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List of Symbols
∆Gm Gibb’s free energy
∆Hm enthalpy of mixing
∆Sm entropy of mixing ϕ composition T temperature p pressure
Tg glass transition temperature
Tm melting Temperature
Tc crystalline Temperature λ wavelength θ angle d distance n order of diffraction P properties I interaction term
Xv volume fraction
Xm mass fraction ρ density
ρa density of amorphous component
ρc density of crystalline component
Aa areas under the curve corresponding to amorphous contribution
Ac areas under the curve corresponding to crystalline contribution
Do die diameter
Df film diameter H film thickness
Xc crystallinity
Hº f reference value of the fully crystalline polymer
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wss weight fraction E* complex modulus E' storage modulus E'' loss modulus Tan δ loss tangent or loss factor ε strain ∆L change in length
L0 initial length L length of specimen during the tensile test m mass t time V volume R gas constant
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List of Figures
Figure 1.1 Classification of Polymer blends ...... 2
Figure 1.2 Phase diagram showing the UCST and LCST for polymer...... 4
Figure 1.3 Idealized DMA scan ...... 11
Figure 1.4 Schematic of experimental X-ray set-up. (a) In reflection-mode for XRD (b) In transmission-mode for WAXS (or XRD) and SAXS...... 12
Figure 1.5 Diffraction of X-rays from planes of lattice separated by distance d...... 13
Figure 1.6 Mechanism of Fourier transform infrared spectroscopy ...... 14
Figure 1.7 Property-Composition dependence for a miscible polyblend...... 16
Figure 1.8 Worldwide distribution of different plastics used in packaging...... 18
Figure 1.9 India LLDPE market share...... 18
Figure 1.10 Chemical structure of polyethylene...... 21
Figure 1.11 Common Polymers for Packaging Applications...... 21
Figure 1.12 Blown film process...... 25
Figure 1.13 Cast film process...... 26
Figure 1.14 Values of Oxygen Transmission Rate (OTR) of conventional packaging materials...... 32
Figure 1.15 Values of Water Vapor Transmission Rate (WVTR) of conventional ppackaging materials...... 33
Figure 1.16 Applications of polyethylene films...... 34
Figure 2.1 Structure of Norbornene...... 40
Figure 2.2 Synthesis steps of the COC copolymer ...... 40
Figure 2.3 COC market -2018 ...... 41
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Figure 2.4 Molecular structures, properties and general applications of three broad categories of PE resins...... 43
Figure 2.5 Tan δ versus temperature for LDPE/EVA & HDPE/EVA copolymer blends: (a) full temperature range; (b) magnified temperature range...... 45
Figure 2.6 (a) Tensile strength and modulus of PP, COC and PP/COC blends (b) Elongation of PP, COC and PP/COC blends ...... 46
Figure 2.7 (a) Effect of temperature on the storage modulus of PP, COC and PP/COC blends at a frequency of 1 Hz (b) Effect of temperature on the Tan δ of PP, COC and PP/COC blends at a frequency of 1 Hz ...... 47
Figure 2.8 IR spectra of PP/COC blends ...... 48
Figure 2.9 WAXS pattern of the PP, COC and PP/COC blends ...... 48
Figure 2.10 Effect of the composition of HDPE/COC blends on the temperature dependence of the storage modulus and loss modulus. HDPE/COC: 100/0 (full line); 75/25 (dash-dot- dot line); 50/50 (dashed line); 25/75 (dash-and-dot line); 0/100 (dotted line)...... 49
Figure 2.11 SEM micrographs of PE matrix/COC 80/20 pellet (a) and film (b)...... 50
Figure 2.12 DSC results of LLDPE, COC and their blend...... 51
Figure 2.13 X-ray diffraction patterns for some composites samples and neat polymers. .. 52
Figure 2.14 Mechanical properties of COC/EVA blends...... 53
Figure 2.15 Temperature dependence of elastic modulus of COC/POE blends...... 54
Figure 2.16 Temperature dependence of loss modulus of COC/POE blends...... 54
Figure 2.17 Oxygen concentration vs. Oxygen Transmission Rate ...... 57
Figure 2.18 Oxygen transmission rate of untreated PE, single-layer SiO x deposited PE, double-layer SiO x deposited PE and conventional 5-layer (different polymers) structure. . 58
Figure 2.19 Types of SiO x film growth mechanism from HMDSO monomer...... 58
Figure 2.20 Oxygen permeation values detected for PEVA foil with barrier layers of PVDC, plasma polymerized HMDSO and parylene...... 59
Figure 2.21 Effect of oxygen and moisture on sample ...... 60
Figure 3.1 Structural formula of COC ...... 63
Figure 3.2 Representation of LLDPE with short chain branching ...... 64
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Figure 3.3 Structural formula of LLDPE ...... 64
Figure 3.4 Preparation of blends using Haake twin screw extruder...... 65
Figure 3.5 Compression molded sheets of L100 C0, L95 C05, L90 C10, L85 C15, L80 C20 , and L0C100 blends...... 66
Figure 3.6 Preparation of Blown film using Haake tubular blown film extrusion...... 67
Figure 3.7 Experimental schematic diagram for PECVD...... 68
Figure 3.8 PEVCD System ...... 68
Figure 3.9 (a) Schematic representation Melt flow index tester (b) Melt flow index tester...... 69
Figure 3.10 DSC Instrument working Principle...... 70
Figure 3.11 Thermal transitions in (A) amorphous and (B) semicrystalline polymers...... 71
Figure 3.12 Differential scanning calorimetry analyzer...... 72
Figure 3.13 Dynamic mechanical analyzer...... 73
Figure 3.14 Trouser tear test sample configuration...... 74
Figure 3.15 FTIR spectrometer ...... 75
Figure 3.16 Schematic representation of the Bragg equation...... 76
Figure 3.17 X-ray diffractometer (left) and sample holder (right)...... 76
Figure 3.18 SEM analyzer (left) and coated sample (right)...... 77
Figure 3.19 Mechanism of working of WVTR equipment...... 78
Figure 3.20 WVTR Analyzer...... 78
Figure 3.21 (a) OTR testing setup (b) Gas permeation analyzer (c) Sample Preparation. 79
Figure 4.1 Granules of L100 C0, L95 C05, L90 C10, L85 C15, L80 C20 and L0C100 ...... 82
Figure 4.2 Graph showing MFI of L100 C0, L95 C05, L90 C10, L85 C15, L80 C20 and L 0C100 ...... 84
Figure 4.3 Blown film samples of L100 C0, L95 C05, L90 C10, L85 C15, L80 C20 and L 0C100 ...... 87
Figure 4.4 Blown film line ...... 88
Figure 4.5 DSC thermograms of L100 C0...... 90
xxv
Figure 4.6 DSC thermograms of L0C100 ...... 90
Figure 4.7 DSC thermograms of L95 C05 ...... 91
Figure 4.8 DSC thermograms of L90 C10 ...... 92
Figure 4.9 DSC thermograms of L85 C15 ...... 92
Figure 4.10 DSC thermograms of L80 C20 ...... 93
Figure 4.11 Effect of temperature on E' , E'' and Tan δ of L 100 C0...... 96
Figure 4.12 Effect of temperature on E' , E'' and Tan δ of L 0C100 ...... 96
Figure 4.13 Effect of temperature on E' , E'' and Tan δ of L 95 C05 ...... 97
Figure 4.14 Effect of temperature on E' , E'' and Tan δ of L 90 C10 ...... 97
Figure 4.15 Effect of temperature on E' , E'' and Tan δ of L 85 C15 ...... 98
Figure 4.16 Effect of temperature on E' , E'' and Tan δ of L 80 C20 ...... 98
Figure 4.17 Storage modulus ( E' ) of L100 C0, L95 C05, L90 C10, L85 C15, L80 C20 and L 0C100 ...... 99
Figure 4.18 Enlarged graph of Storage modulus ( E' ) of L100 C0, L95 C05, L90 C10, L85 C15, L80 C20 and L 0C100 ...... 100
Figure 4.19 Loss modulus (E '') of L100 C0, L95 C05, L90 C10, L85 C15, L80 C20 and L 0C100 ...... 101
Figure 4.20 Enlarged graph of Loss modulus (E '') of L100 C0, L95 C05, L90 C10, L85 C15, L80 C20 and L 0C100 ...... 101
Figure 4.21 Tan δ of L100 C0, L95 C05, L90 C10, L85 C15, L80 C20 and L 0C100 ...... 102
Figure 4.22 Enlarged graph of Tan δ of L100 C0, L95 C05, L90 C10, L85 C15, L80 C20 and L 0C100 ...... 102
Figure 5.1 Tensile strength of L100 C0, L95 C05, L90 C10, L85 C15, and L80 C20 ...... 106
Figure 5.2 Tensile modulus of L100 C0, L95 C05, L90 C10, L85 C15, and L80 C20 ...... 107
Figure 5.3 % Elongation of L100 C0, L95 C05, L90 C10, L85 C15, and L80 C20 ...... 108
Figure 5.4 Tear strength of L100 C0, L95 C05, L90 C10, L85 C15, and L80 C20 ...... 109
Figure 5.5 IR spectrum of L 100 C0...... 110
Figure 5.6 IR spectrum of L 0C100...... 112
xxvi
Figure 5.7 IR spectrum of L 95 C05...... 113
Figure 5.8 IR spectrum of L 90 C10...... 113
Figure 5.9 IR spectrum of L 85 C15...... 114
Figure 5.10 IR spectrum of L 80 C20...... 114
Figure 5.11 Combined IR spectrum of L95 C05, L90 C10, L85 C15 and L 80 C20...... 115
Figure 5.12 X ray diffraction graph of L100 C0, L95 C05, L90 C10, L85 C15, L80 C20 and L 0C100 ...... 116
Figure 5.13 Merged X ray diffraction graph of L100 C0, L95 C05, L90 C10, L85 C15, L80 C20 and L0C100 ...... 117
Figure 5.14 Schematic description of the transport of gas molecules through a polymer film...... 120
Figure 5.15 Illustration of the ‘‘tortuous pathway’’ ...... 121
Figure 5.16 SEM micrographs of granules of (a) L100 C0 (b) L 95 C05 (c) L 90 C10 (d) L85 C15 (e) L80 C20 and (f) L0C100 ...... 122
Figure 5.17 SEM micrographs of films of (a) L100 C0 (b) L 95 C05 (c) L 90 C10 (d) L85 C15 and (e) L80 C20...... 123
Figure 5.18 SiO x film coating on film surface using HMDSO ...... 124
Figure 5.19 SEM micrograph of (a) L 95 C05 (60±5 µm film) (b) L 90 C10 (60±5 µm film) (c) SiO x coated L 95 C05 (40±3 µm film) (d) SiO x coated L 90 C10 (40±3 µm film) (e) SiO x coated L 95 C05 (60±5 µm film) (f) SiO x coated L 90 C10 (60±5 µm film)...... 126
Figure 5.20 Oxidation process in banana without film, with LLDPE and all compositions of LLDPE/COC film (A-without film; B- L100 C0; C- L95 C05 ;D - L90 C10 ; E- L85 C15 ; F- L80 C20 ) ...... 130
th Figure 5.21 Condition on 6 day (a) Banana without film (b) Banana packed in L100 C0 film and (c) Banana packed in L 90 C10 film ...... 131
xxvii
List of Tables
Table 1.1 PAB compounders ...... 6
Table 1.2 Advantages and disadvantages of some PAB mixers ...... 6
Table 1.3 Techniques of analysis of polymer blends...... 15
Table 1.4 Comparison of Blown and Cast Film ...... 27
Table 1.5 Typical Properties for Flexible Packaging Films...... 28
Table 1.6 Common resins used in flexible packaging and their functions...... 29
Table 1.7 Effect of increase in crystallinity on different polymer properties...... 31
Table 1.8 Classification of the current major gas barrier technologies ...... 34
Table 2.1 CVD,PVD and PECVD advantages and disadvantages...... 56
Table 3.1 Weight percentage and total weight of LLDPE and COC in the blends...... 65
Table 3.2 Melt Flow Index (MFI) ranges of typical PE grades by process ...... 70
Table 4.1 MFI and FRR of L100 C0, L95 C05, L90 C10, L85 C15, L80 C20 and L 0C100 ...... 85
Table 4.2 Blown film parameters ...... 88
Table 4.3 Results obtained from the DSC test of L100 C0, L95 C05, L90 C10, L85 C15 and L80 C20...... 94
Table 4.4 Storage modulus (E') at different temperatures and Tan δ and T g of the L 100 C0,
L95 C05, L90 C10, L85 C15, L80 C20 and L 0C100 ...... 103
Table 5.1 Main absorptions of LLDPE in the IR region and their assignment...... 111
Table 5.2 Main absorptions of COC in the IR region and their assignment...... 112
Table 5. 3 Main absorptions of L95 C05, L90 C10, L85 C15 and L 80 C20 in the IR region and their assignment ...... 115
xxviii
Table 5.4 FWHM and Crystallites size of L100 C0, L95 C05, L90 C10, L85 C15, L80 C20 and L 0C100 obtained from XRD data...... 118
Table 5.5 OTR and WVTR of L 100 C0, L95 C05, L90 C10, L85 C15 and L 80 C20...... 121
Table 5.6 Comparison of OTR and WVTR of SiO x coated and uncoated L95 C05 and L 90 C10...... 125
xxix
Polymer blends
CHAPTER 1
Introduction
Polymer blends
1.1.1 Background A polymer blend is a mixture of two or more polymers that have been blended together to create a new material with distinct physical properties. Polymer blending is a quite simple and cost effective technique and has garnered increasing interest for developing polymeric materials that can be useful for commercial applications. Appropriate selection of the constituent polymers can modify the properties of the blends for their end use [1]. Blends provide the necessary flexibility to tailor a specific material for a given application, and in some cases, they provide improved properties as compared to their substituent materials. New polymer development and commercialization takes many years and is also highly expensive. On the other hand, polymer blending process is very cheap to operate and it is often likely to reduce the time for incorporating commercialization [2].
A large number of commercial polymer blends have now become available, and persistent effort to create new materials with improved chemical or mechanical performance is being projected relentlessly [3]. The modification in the performance of polymer systems has been the subject of interest in many newer studies. Blending also produces materials with exceptional combinations of mechanical, chemical, barrier, thermal, and morphological properties [4, 5]. Blending offers an easy and fairly economical method to develop polymeric materials with desirable properties. Blending of polymers also provides an easy and useful means of reuse and recycling of polymer wastes. The benefits of polymer blending can be summarized as follows:
1
Introduction
• They offer the simplest way for combining exceptional properties of different existing polymers. • They are a cost-effective technique for new materials and products to fill the economic and performance gap. • They generate materials and products with tailor-made properties. • They improve processing ability. • They reduce time for successful development of new polymer blends. • Ready availability of equipment as already existing ones can be used.
1.1.2 Classification of polymer blends Polymer blends can be classified into different classes on the basis of aspects such as: the number of homopolymers used for blending, miscibility of the constituent polymers, biodegradability, nature of constituent polymers, and so on. Fig.1.1 [6] represents a schematic classification of the polymer blends.
Figure 1.1 Classification of Polymer blends
2
Thermodynamic approach to the miscibility of polymer blends
Thermodynamic approach to the miscibility of polymer blends
According to miscibility polymer blends are classified by two types miscible (homogeneous) or immiscible (heterogeneous) blends. Miscible blends are mostly visibly clear and to the segmental level they are homogeneous. By changing the mixture composition, temperature or pressure of the polymer blend, single-phase blends also undergo phase separation. Miscibility and phase behavior of polymer blends have been studied by various researchers [7][8] since, the properties of a polymer blend depends on the final morphology. In general, polymer blends can be immiscible, partially miscible or completely miscible depending on the value of ∆Gm i.e., Gibb’s free energy [9]. It is given by
∆Gm = ∆Hm - T∆Sm (1.1)
∆Hm, and ∆Sm are the enthalpy and entropy of mixing at temperature T, respectively.
For a stable one-phase system, the following two conditions must be satisfied:
∆Gm <0; (1.2) 2 2 (∂ (∆Gm)/ ∂ϕi )T,p > 0 (1.3)
Where ϕ is the composition, it is taken as the volume fraction of one of the components, whereas, T is temperature and p is pressure.
∆Sm is a quantity of disorder or randomness, it is favorable for mixing or miscibility mainly for low molecular- weight solutions and is always positive. In case of polymers, ∆Hm is also a deciding factor for miscibility because polymer solutions have monomers with a high molecular weight. ∆Hm is the heat that is either consumed or generated during mixing i.e, endothermic or exothermic respectively. If the mixing is exothermic then the system shows miscibility due to strong specific interaction between the blend components. Hydrogen bonding, dipole–dipole, and ionic interactions are the most common- interaction observed in polymer blends. There are several methods that can be used to recognize the specific
3
Introduction
interaction in polymers, such as, nuclear magnetic resonance (NMR) spectroscopy, Fourier transform infrared (FTIR) spectroscopy, small-angle neutron scattering etc.
In Phase diagram, upper critical solution temperature (UCST), lower critical solution temperature (LCST), combined LCST and UCST, or closed-loop-shaped are observed experimentally in polymer blends system as shown in Fig. 1.2. LCST & UCST are the most commonly observed phase diagrams which represent phase separation of a miscible blend during heating and phase separation of a miscible blend during cooling respectively [10],[11]. Phase separation can be followed by a number of experimental techniques that include light scattering, neutron scattering, ellipsometry, and rheology. The generated morphology can be characterized using scanning electron microscopy (SEM), transmission electron microscopy (TEM), atomic force microscopy (AFM), infrared, near-infrared and Raman spectroscopy.
Figure 1.2 Phase diagram showing the UCST and LCST for polymer.
4
Preparation and manufacture of polymer blends
Preparation and manufacture of polymer blends
Polyblends can be of two types based on method of preparation: A) Physical blends and B) Chemical blends. A) Physical Blends This is the most significant class of polymer blends having no primary bonding involving polymer components. These blends are prepared by mechanically mixing of the component polymers. On the basis of nature of mixing, polyblends may be further divided as: i) Melt Blending Melt blending is the simplest method of mixing the polymers mechanically using continuous or batch mixers for the preparation of blend. In melt mixing, two or more polymers plus any desired additive or filler are metered by weight ratio into a shear intensive extruder. The constituents are mixed at elevated temperatures (i.e., above the melting points of the polymer constituents) by extruder screw which exerts mechanical shearing forces and ensures even distribution and thorough blending of alloy and blend elements [8]. In Table 1.1 a list of Polymer alloys and blends (PAB) compounders is given and the advantages and disadvantages of the typical machines are listed in Table 1.2 [12].
The entire process of compounding comprises of four stages: i. Preparation of ingredients (drying, sizing, heating etc.), ii. Premixing (dry blending, breakage of agglomerates, fluxing etc.), iii. Melt mixing with dispersive and distributive field, iv. Chopping e.g. granulating, pelletizing or dicing
5
Introduction
Table 1.1 PAB compounders No Machine Function
1. Continuous mixers Twin screw extruder Primary PAB compounder
Twin shaft intensive mixers Primary PAB compounder
Disc extruder Adaptable for compounding
Single screw extruder Second choice
Single shaft mixer Second choice
2. Batch mixers Roll mills Laboratory and short run
Internal sigma blade mixers Laboratory and short run
Table 1.2 Advantages and disadvantages of some PAB mixers Machine Advantages Disadvantages 1. Twin screw Uniform high shear stress Capital cost extruder flow, short residence time, self-cleaning, flexibility and ease of change. 2. Single screw Cost, availability, Poor control, low rate of extruder flexibility, for modification shearing, long residence time, of screws and add-ons dead-spaces 3. Internal mixers Uniformity of stress Capital and operational cost, history, control long cycle, batch to batch variation 4. Multi stages system Flexibility, control, Capital cost uniformity
The simplicity in the preparation makes melt blending technique technologically very vital and offer various advantages over the other blending techniques like,
1. The technique of preparation is the simplest one from the technological point of view. 2. The ingredients are readily available and are easily identified.
6
Preparation and manufacture of polymer blends
3. The blending procedure does not introduce any impurities in the systems. 4. It does not require removal of the extraneous solvent as it is done in solution polyblends. 5. The control and degree of mixing of two polymers can be attained by the balance of equipment design and temperature control which produce rheological properties required for controlling the rate and degree of mixing. 6. The shear action of mechanical blending generates free radicals through polymer degradation reaction. These free radicals cause formation of the true chemical grafting between the two components. The quantity and importance of such grafted materials depend upon the temperature, shear-gradient and duration of the blending. ii) Solvent cast blends These blends are prepared by solution blending technique. In the preparation of the blends, the two polymers are dissolved separately in the same solvent. The two solutions are mixed and are brought to equilibrium [12]. This method is generally used for theoretical studies where behavior of polyblends is to be known at molecular level. It offers an advantage over other methods. This method eliminates or at least minimizes the problems of kinetics, incomplete mixing, chemical change caused by heat and shear-gradient, color degradation and premature curing reaction. But, on the other hand, it has some disadvantages since, this method can only be used for such polymers, which are soluble in a common solvent. Furthermore, isolation of the solid polyblends requires removal of the solvent by either evaporation or coagulation, which may cause heterogeneity in the system. The use of solvent causes the general problems associated with it such as: toxicity, flammability, environmental pollution and most important, economic feasibility at industrial level. This method of blending is commonly used in coating industries. iii) Latex Blends If the two polymers are available in latex form, mixing of these two results into the blending at micron level without any problem of heat and shear. The blending of two aqueous latexes is of an economic advantage because of the absence of solvent in latexes. After coagulation or evaporation, solid polyblends can be obtained. This process of blending thus, offers a major advantage in technological applications due to its industrial applicability and economic feasibility, but scale of dispersion is too coarse for practical use. For further
7
Introduction
improvement, fusion at molecular level had to be done by heat or shear application. Furthermore, it has a limitation of availability of the two polymers in latex form and high level of impurities present in the latexes.
B) Chemical Blends The method of preparation for these blends involves participation of the chemical reactions. Depending upon the chemical reaction, these blends have been further divided into two sub- blends: i) Graft Polyblends In commercial practice, the graft copolymerization often produces homopolymers, which produce strong interfaces due to grafting reaction, and becomes semi-compatible or compatible with graft copolymers. The separation of these from the bulk product becomes a formidable task. In the solution graft copolymerization, this is a common feature. Such block and graft copolymerization reactions actually produce polyblend systems directly, which are called graft polyblends. The systems sometimes are of industrial and commercial importance. In many cases these graft polyblends are then used for further polyblending with the same or other homopolymers or copolymers by latex or melt blending. Here, the existence of the original graft polyblend undoubtedly facilitates the latter melt blending step. ii) Interpenetrating polymer networks (IPN’s) IPN’s can be classed as polyblends, obtained in such a way that two or more separate polymeric species are present, such that, at least one of them, being in the form of crosslinked network structure and the other interpenetrating network structure as crosslinked or non- crosslinked polymers.
Different techniques used in characterization of blends
The performance of two polymers in a mixture will not essentially match to the behavior of each of the individual polymers. Numerous techniques are adopted for characterization of polymer blends. A brief summary of the techniques is given below.
8
Different techniques used in characterization of blends
(a) Optical Techniques Optical properties of polymer blends have been used to analyze blends. The film prepared from a miscible blend is found to be optically clear. The film prepared from immiscible blend is opaque even when small amount of second component is present in the film. This method is not reliable as transparent film can be prepared from immiscible blends if very thin film is examined or two polymers have similar or equal refractive index. Opacity is caused by the light scattered from the polymer domains in heterogeneous mixtures. For film to be transparent, critical domain size < 100 nm is required. Similarly the difference in refractive index of the two component should be >0.001 if transparency is to be used as criteria for miscibility. Light scattering techniques have been used to study the compatibility of the polymer mixtures [8]. Heterogeneous blends are always opaque if the dispersed particles in them are large enough to scatter visible light and their films thick enough to make scattering complete.
(b) Microscopy Techniques Microscope is an important technique for studying visually (i) the character of the dispersed phase, (ii) Identification of the predominant phase, and (iii) Phase separation in a polymer blend. This technique is important in predicting the final properties of polymer blends. A variety of microscopy techniques have been used, including: (a) Light microscopy, (b) Scanning electron microscopy (SEM), (c) Transmission electron microscopy (TEM), (d) Atomic force microscopy (AFM), etc.,
(c) Solution Techniques Viscosity determination is a useful technique for characterization of polymer blends. Differential solubility was one of the earliest techniques used for analyzing Polymer blends, block and graft copolymers. If one can find a solvent which only dissolves one component, and leaves the rest of the system undissolved, then the relative amounts and structures of the different components can be known. (i) Solution in common solvent Solubility differences between components of polymer blends have also been utilized in other ways. After blending together, polymer pairs may be qualitatively considered as incompatible, semi-compatible or compatible, depending on whether two distinct or
9
Introduction
immiscible phases remain. Partial mixing of the two polymers takes place at the molecular level or a single thermodynamically stable phase is formed. The allowable concentration of polymer without phase separation increases slightly if the molecular weights of the polymeric constituents are significantly lowered. Phase separation occurs when solutions of different polymers are mixed. This differs from usual cases of phase separation, wherein the two phases contain different amounts of the dissolved components. Analysis of the phase formed after separation of solutions of different polymers shows that, each phase consists mainly of one polymer. Thus, in solutions that undergo phase separation, the polymers are incompatible and completely separate from each other.
(ii) Film Casting Frequently, films are cast from dilute solution of two polymers. An opaque and crumbly film indicates incompatibility and, a clear self-supporting film suggests better compatibility. Since, there is a continuous change in clarity and opacity and, transition from crumbly state to self-supporting state, it is difficult to judge where compatibility trades off and incompatibility starts. Besides, incompatible blends with same or nearly same refractive index form transparent and clear films. A difficult situation has been observed experimentally for several polymer blends. In such types of observations, it is very difficult to ascertain compatibility of a blend.
(d) Thermo-analytical techniques
(i) Thermal and thermo-mechanical analysis A plethora of Thermo-Analytical techniques have been used to study the fundamental behavior of polymers and their blends. These include (a) Dilatometry, (b) Differential Thermal Analysis (DTA), (c) Differential Scanning Calorimetry (DSC), (d) Dielectric relation etc., Dilatometry and DSC have been used extensively to correlate glass transition temperature (Tg) with chemical structures. DSC is a useful technique for the analysis and quality control of polymers. It determines glass transition, melting and crystallization temperature and, degree of crystallinity.
10
Different techniques used in characterization of blends
Thermo Mechanical Analysis (TMA) measures the mechanical response of a polymer system as the temperature is changed, e.g. stress-strain behavior and torsion modulus. Thermo Gravimetric Analysis (TGA) and TMA also provide useful information particularly, thermal degradation or other chemical changes such as curing reactions in polymer blends.
(ii) Dynamic-mechanical measurements In order to offer a wide variety of performance conditions, polymer blends must show toughness, rigidity, stiffness and thermal resistance, as well as, flexibility, low cost and environment-friendly production. This is a very sensitive tool and has been used to detect compatibility in a polymer blend. When the damping curves from a torsion pendulum test are obtained for the parent components and for the polyblend and the results are compared, a compatible polyblend will show a damping maximum between those of the parent polymers, whereas, the incompatible polyblend gives two damping maxima at temperatures corresponding to those of the parent components.
Dynamic mechanical measurement can also give information on the (i) modulus of polymers and (ii) Glass Transitions of polymers. Fig. 1.3 depicts idealized DMA scan to determine various transition in polymers with respect to temperature [13].
Figure 1.3 Idealized DMA scan
11
Introduction
(iii) Glass transition studies
If the glass transition temperatures of the polymeric components are known and the glass transition temperature of the polyblend is determined, one of two things can happen. If the polyblend shows two distinct transitions corresponding to the parent polymers, it is incompatible. If the polyblend shows one transition only, the system is compatible i.e., compatibility of blend is indicated by the shift or disappearance of the single components. This is because Tg is a measure of the segmental mobility of a polymer, it must be sensitive to the environment of the segments. Therefore, if a polyblend shows Tg that is similar to the parent components, the chains of the parent polymers must lie within its own kind.
Tg =W 1 .Tgl + W 2 .Tg 2 (1.4)
Where, W1 and W2 are the weight fractions of the two components of the blend Tgl and Tg 2 are the Tg’s of the two components.
(e) X-ray Techniques This technique gives information regarding the geometry of the scattering structures. Scattering is a process that involves the deviation of a beam of radiation or particles from its initial path by the inhomogeneities in the medium through which it traverses. Thus, scattering experiments are easy to conceptualize and require only a source, a sample, and a detector (see Fig. 1.4)[7].
(a) (b)
Figure 1.4 Schematic of experimental X-ray set-up. (a) In reflection-mode for XRD (b) In transmission-mode for WAXS (or XRD) and SAXS.
12
Different techniques used in characterization of blends
Both, Small-angle and wide angle X-ray scattering and crystallography involve the scattering/diffraction of a highly collimated beam of X-rays that is scattered/diffracted by the sample and measured at an angle of 2 θ with respect to the direct beam.
For an X-ray of wavelength, λ, diffracted at an angle θ by planes of lattice separated by a distance d apart, it follows from Bragg’s law (Fig. 1.5) that:
nλ= 2d sin θ (1.5)
Where n is the order of diffraction and for a first-order diffraction (n=1),