TESTING of CERAMIC MATRIX COMPOSITES Challenges, Tools, Pitfalls, and Opportunities
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2.1.5 Stress-Strain Relation for Anisotropic Materials
,/... + -:\ 2.1.5Stress-strain Relation for AnisotropicMaterials The generalizedHook's law relatingthe stressesto strainscan be writtenin the form U2, 13,30-32]: o,=C,,€, (i,i =1,2,.........,6) Where: o, - Stress('ompttnents C,, - Elasticity matrix e,-Straincomponents The material properties (elasticity matrix, Cr) has thirty-six constants,stress-strain relations in the materialcoordinates are: [30] O1 LI CT6 a, l O2 03_ a, -t ....(2-6) T23 1/ )1 T32 1/1l 'Vt) Tt2 C16 c66 I The relations in equation (3-6) are referred to as characterizing anisotropicmaterials since there are no planes of symmetry for the materialproperties. An alternativename for suchanisotropic material is a triclinic material. If there is one plane of material property symmetry,the stress- strainrelations reduce to: -'+1-/ ) o1 c| ct2 ct3 0 0 crc €l o2 c12 c22 c23 0 0 c26 a: ct3 C23 ci3 0 0 c36 o-\ o3 ....(2-7) 723 000cqqc450 y)1 T3l 000c4sc5s0 Y3l T1a ct6 c26 c36 0 0 c66 1/t) Where the plane of symmetryis z:0. Such a material is termed monoclinicwhich containstfirfen independentelastic constants. If there are two brthogonalplanes of material property symmetry for a material,symmetry will existrelative to a third mutuallyorthogonal plane. The stress-strainrelations in coordinatesaligned with principal material directionswhich are parallel to the intersectionsof the three orthogonalplanes of materialsymmetry, are'. Ol ctl ct2ctl000 tl O2 Ct2 c22c23000 a./ o3 ct3 c23c33000 * o-\ ....(2-8) T23 0 00c4400 y)1 yll 731 0 000css0 712 0 0000cr'e 1/1) 'lt"' -' , :t i' ,/ Suchmaterial is calledorthotropic material.,There is no interaction betweennormal StreSSeS ot r 02, 03) andanisotropic materials. -
Ceramic Matrix Composites Taking Flight at GE Aviation Featuring
AMERICAN CERAMIC SOCIETY bullemerginge ceramicstin & glass technology APRIL 2019 Ceramic matrix composites taking flight at GE Aviation Featuring: April 30 – May 1, 2019 Ceramic science in the skies: Electrification, EBCs, and PDCs | New Ohio partnership for technician training FIRING YOUR IMAGINATION FOR 100 YEARS Ads from the 1940’s and 1950’s www.harropusa.com ACerS Anniversary Ad 2.indd 1 2/13/19 3:44 PM contents April 2019 • Vol. 98 No.3 feature articles Ceramic matrix composites taking flight at 30 GE aviation The holy grail for jet engines is efficiency, and the improved high-temperature capability of CMC systems is giving General Electric a great advantage. department News & Trends . 4 by Jim Steibel Spotlight . 10 Ceramics in Energy . 19 cover story Research Briefs . 21 Nonoxide polymer-derived CMCs for 34 “super” turbines The melting point of single-crystal blades limits further columns advancement in operating temperature of gas turbines with metallic materials. Ceramics, which have much higher melt- All about aircraft . 29 ing points, hold the promise for future “super” turbines. Infographic by Lisa McDonald by Zhongkan Ren and Gurpreet Singh Deciphering the Discipline . 64 Ultra-high temperature oxidation of high entropy UHTCs Taking off: Advanced materials contribute by Lavina Backman 40 to the evolution of electrified aircraft Commercial electrified aircraft are expected to take off within the next decade—and advanced materials are play- ing an increasingly critical role in solving key technical challenges that will push the boundaries even higher. meetings 25th International Congress on by Ajay Misra Glass (ICG 2019) . 56 GFMAT-2/Bio-4 . -
Multidisciplinary Design Project Engineering Dictionary Version 0.0.2
Multidisciplinary Design Project Engineering Dictionary Version 0.0.2 February 15, 2006 . DRAFT Cambridge-MIT Institute Multidisciplinary Design Project This Dictionary/Glossary of Engineering terms has been compiled to compliment the work developed as part of the Multi-disciplinary Design Project (MDP), which is a programme to develop teaching material and kits to aid the running of mechtronics projects in Universities and Schools. The project is being carried out with support from the Cambridge-MIT Institute undergraduate teaching programe. For more information about the project please visit the MDP website at http://www-mdp.eng.cam.ac.uk or contact Dr. Peter Long Prof. Alex Slocum Cambridge University Engineering Department Massachusetts Institute of Technology Trumpington Street, 77 Massachusetts Ave. Cambridge. Cambridge MA 02139-4307 CB2 1PZ. USA e-mail: [email protected] e-mail: [email protected] tel: +44 (0) 1223 332779 tel: +1 617 253 0012 For information about the CMI initiative please see Cambridge-MIT Institute website :- http://www.cambridge-mit.org CMI CMI, University of Cambridge Massachusetts Institute of Technology 10 Miller’s Yard, 77 Massachusetts Ave. Mill Lane, Cambridge MA 02139-4307 Cambridge. CB2 1RQ. USA tel: +44 (0) 1223 327207 tel. +1 617 253 7732 fax: +44 (0) 1223 765891 fax. +1 617 258 8539 . DRAFT 2 CMI-MDP Programme 1 Introduction This dictionary/glossary has not been developed as a definative work but as a useful reference book for engi- neering students to search when looking for the meaning of a word/phrase. It has been compiled from a number of existing glossaries together with a number of local additions. -
Lecture II Polarization Anisotropy Spectrum
Lecture II Polarization Anisotropy Spectrum Wayne Hu Crete, July 2008 Damping Tail Dissipation / Diffusion Damping • Imperfections in the coupled fluid → mean free path λC in the baryons • Random walk over diffusion scale: geometric mean of mfp & horizon λD ~ λC√N ~ √λCη >> λC • Overtake wavelength: λD ~ λ ; second order in λC/λ • Viscous damping for R<1; heat conduction damping for R>1 1.0 N=η / λC Power λD ~ λC√N 0.1 perfect fluid instant decoupling λ 500 1000 1500 Silk (1968); Hu & Sugiyama (1995); Hu & White (1996) l Dissipation / Diffusion Damping • Rapid increase at recombination as mfp ↑ • Independent of (robust to changes in) perturbation spectrum • Robust physical scale for angular diameter distance test (ΩK, ΩΛ) Recombination 1.0 Power 0.1 perfect fluid instant decoupling recombination 500 1000 1500 Silk (1968); Hu & Sugiyama (1995); Hu & White (1996) l Damping • Tight coupling equations assume a perfect fluid: no viscosity, no heat conduction • Fluid imperfections are related to the mean free path of the photons in the baryons −1 λC = τ_ where τ_ = neσT a is the conformal opacity to Thomson scattering • Dissipation is related to the diffusion length: random walk approximation p p p λD = NλC = η=λC λC = ηλC the geometric mean between the horizon and mean free path • λD/η∗ ∼ few %, so expect the peaks :> 3 to be affected by dissipation Equations of Motion • Continuity k Θ_ = − v − Φ_ ; δ_ = −kv − 3Φ_ 3 γ b b where the photon equation remains unchanged and the baryons follow number conservation with ρb = mbnb • Euler k v_ = k(Θ + Ψ) − π − τ_(v − v ) γ 6 γ γ b a_ v_ = − v + kΨ +τ _(v − v )=R b a b γ b where the photons gain an anisotropic stress term πγ from radiation viscosity and a momentum exchange term with the baryons and are compensated by the opposite term in the baryon Euler equation Viscosity • Viscosity is generated from radiation streaming from hot to cold regions • Expect k π ∼ v γ γ τ_ generated by streaming, suppressed by scattering in a wavelength of the fluctuation. -
Cosmic Microwave Background
1 29. Cosmic Microwave Background 29. Cosmic Microwave Background Revised August 2019 by D. Scott (U. of British Columbia) and G.F. Smoot (HKUST; Paris U.; UC Berkeley; LBNL). 29.1 Introduction The energy content in electromagnetic radiation from beyond our Galaxy is dominated by the cosmic microwave background (CMB), discovered in 1965 [1]. The spectrum of the CMB is well described by a blackbody function with T = 2.7255 K. This spectral form is a main supporting pillar of the hot Big Bang model for the Universe. The lack of any observed deviations from a 7 blackbody spectrum constrains physical processes over cosmic history at redshifts z ∼< 10 (see earlier versions of this review). Currently the key CMB observable is the angular variation in temperature (or intensity) corre- lations, and to a growing extent polarization [2–4]. Since the first detection of these anisotropies by the Cosmic Background Explorer (COBE) satellite [5], there has been intense activity to map the sky at increasing levels of sensitivity and angular resolution by ground-based and balloon-borne measurements. These were joined in 2003 by the first results from NASA’s Wilkinson Microwave Anisotropy Probe (WMAP)[6], which were improved upon by analyses of data added every 2 years, culminating in the 9-year results [7]. In 2013 we had the first results [8] from the third generation CMB satellite, ESA’s Planck mission [9,10], which were enhanced by results from the 2015 Planck data release [11, 12], and then the final 2018 Planck data release [13, 14]. Additionally, CMB an- isotropies have been extended to smaller angular scales by ground-based experiments, particularly the Atacama Cosmology Telescope (ACT) [15] and the South Pole Telescope (SPT) [16]. -
Development of New Matrix and Interfacial Materials for Ceramic Matrix Composites Gavin C
University of Connecticut OpenCommons@UConn Doctoral Dissertations University of Connecticut Graduate School 8-26-2014 Development of New Matrix and Interfacial Materials for Ceramic Matrix Composites Gavin C. Richards University of Connecticut - Storrs, [email protected] Follow this and additional works at: https://opencommons.uconn.edu/dissertations Recommended Citation Richards, Gavin C., "Development of New Matrix and Interfacial Materials for Ceramic Matrix Composites" (2014). Doctoral Dissertations. 522. https://opencommons.uconn.edu/dissertations/522 Development of New Matrix and Interfacial Materials for Ceramic Matrix Composites Gavin C. Richards, PhD University of Connecticut, 2014 Pre-ceramic polymers are attractive, low cost materials for the manufacture of ceramic fibers and matrix materials in Ceramic Matrix Composites (CMCs). A new pre-ceramic polymer, an ethanol-modified polyvinylsilazane (PVSZ), was synthesized and characterized. The PVSZ polymer has been previously shown to be a viable precursor for silicon nitride and silicon carbide based ceramics, but lacked stability when exposed to air. The PVSZ polymer was synthesized via the ammonolysis of trichlorovinylsilazane in tetrahydrofuran (THF), and then reacted with ethanol to form the ethanol-modified PVSZ. The PVSZ polymer and ethanol- modified PVSZ resin were each characterized with Attenuated Total Reflectance spectroscopy (ATR), 1H Nuclear Magnetic Resonance ( 1H-NMR), and Gel Permeation Chromatography (GPC), Thermogravimetric Analysis (TGA), Residual Gas Analysis (RGA), and X-Ray Powder Diffraction (XRD) of the ceramic char after pyrolysis in various atmospheres. A second new modified PVSZ was also synthesized. Rather than use ethanol, a second silane monomer was added during synthesis, with the intent of stabilizing the polymer without incorporating oxygen. The new end cap modified PVSZ (EC-PVSZ) was characterized using the same methods outlined for the ethanol-modified PVSZ. -
Physics of the Cosmic Microwave Background Anisotropy∗
Physics of the cosmic microwave background anisotropy∗ Martin Bucher Laboratoire APC, Universit´eParis 7/CNRS B^atiment Condorcet, Case 7020 75205 Paris Cedex 13, France [email protected] and Astrophysics and Cosmology Research Unit School of Mathematics, Statistics and Computer Science University of KwaZulu-Natal Durban 4041, South Africa January 20, 2015 Abstract Observations of the cosmic microwave background (CMB), especially of its frequency spectrum and its anisotropies, both in temperature and in polarization, have played a key role in the development of modern cosmology and our understanding of the very early universe. We review the underlying physics of the CMB and how the primordial temperature and polarization anisotropies were imprinted. Possibilities for distinguish- ing competing cosmological models are emphasized. The current status of CMB ex- periments and experimental techniques with an emphasis toward future observations, particularly in polarization, is reviewed. The physics of foreground emissions, especially of polarized dust, is discussed in detail, since this area is likely to become crucial for measurements of the B modes of the CMB polarization at ever greater sensitivity. arXiv:1501.04288v1 [astro-ph.CO] 18 Jan 2015 1This article is to be published also in the book \One Hundred Years of General Relativity: From Genesis and Empirical Foundations to Gravitational Waves, Cosmology and Quantum Gravity," edited by Wei-Tou Ni (World Scientific, Singapore, 2015) as well as in Int. J. Mod. Phys. D (in press). -
Glossary of Materials Engineering Terminology
Glossary of Materials Engineering Terminology Adapted from: Callister, W. D.; Rethwisch, D. G. Materials Science and Engineering: An Introduction, 8th ed.; John Wiley & Sons, Inc.: Hoboken, NJ, 2010. McCrum, N. G.; Buckley, C. P.; Bucknall, C. B. Principles of Polymer Engineering, 2nd ed.; Oxford University Press: New York, NY, 1997. Brittle fracture: fracture that occurs by rapid crack formation and propagation through the material, without any appreciable deformation prior to failure. Crazing: a common response of plastics to an applied load, typically involving the formation of an opaque banded region within transparent plastic; at the microscale, the craze region is a collection of nanoscale, stress-induced voids and load-bearing fibrils within the material’s structure; craze regions commonly occur at or near a propagating crack in the material. Ductile fracture: a mode of material failure that is accompanied by extensive permanent deformation of the material. Ductility: a measure of a material’s ability to undergo appreciable permanent deformation before fracture; ductile materials (including many metals and plastics) typically display a greater amount of strain or total elongation before fracture compared to non-ductile materials (such as most ceramics). Elastic modulus: a measure of a material’s stiffness; quantified as a ratio of stress to strain prior to the yield point and reported in units of Pascals (Pa); for a material deformed in tension, this is referred to as a Young’s modulus. Engineering strain: the change in gauge length of a specimen in the direction of the applied load divided by its original gauge length; strain is typically unit-less and frequently reported as a percentage. -
Carbon Fiber /Reaction-Bonded Carbide Matrix For
Carbon fiber /reaction-bonded carbide matrix for composite materials -Manufacture and characterization Jérôme Magnant, Laurence Maillé, René Pailler, Jean-Christophe Ichard, Alain Guette, Francis Rebillat, Eric Philippe To cite this version: Jérôme Magnant, Laurence Maillé, René Pailler, Jean-Christophe Ichard, Alain Guette, et al.. Carbon fiber /reaction-bonded carbide matrix for composite materials -Manufacture and charac- terization. Journal of the European Ceramic Society, Elsevier, 2012, 32 (16), pp.4497 - 4505. 10.1016/j.jeurceramsoc.2012.06.009. hal-01845172 HAL Id: hal-01845172 https://hal.archives-ouvertes.fr/hal-01845172 Submitted on 20 Jul 2018 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Carbon fiber /reaction-bonded carbide matrix for composite materials - Manufacture and characterization Jérôme Magnant1; Laurence Maillé1*; René Pailler1; Jean-Christophe Ichard1; Alain Guette1; Francis Rebillat1; Eric Philippe2 1 University of Bordeaux, Laboratory for Thermostructural Composites (LCTS), Pessac, France. 2 SAFRAN - Snecma Propulsion Solide, Le Haillan, France. ABSTRACT The processing of self-healing Ceramic Matrix Composites by a short time and low cost process was studied. This process is based on the deposition of fiber dual interphases by chemical vapor infiltration and on the densification of the matrix by reactive melt infiltration of silicon. -
Advanced Measurements of Silicon Carbide Ceramic Matrix Composites
INL/EXT-12-27032 Advanced Measurements of Silicon Carbide Ceramic Matrix Composites David Hurley Farhad Fazbod Zilong Hua Stephen Reese Marat Khafizov August 2012 The INL is a U.S. Department of Energy National Laboratory operated by Battelle Energy Alliance DISCLAIMER This information was prepared as an account of work sponsored by an agency of the U.S. Government. Neither the U.S. Government nor any agency thereof, nor any of their employees, makes any warranty, expressed or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness, of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. References herein to any specific commercial product, process, or service by trade name, trade mark, manufacturer, or otherwise, does not necessarily constitute or imply its endorsement, recommendation, or favoring by the U.S. Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the U.S. Government or any agency thereof. INL/EXT-12-27032 Advanced Measurements of Silicon Carbide Ceramic Matrix Composites David Hurley Farhad Farzbod Zilong Hua Stephen Reese Marat Khafizov August, 2012 Idaho National Laboratory Materials Science and Engineering Department Idaho Falls, Idaho 83415 http://www.inl.gov Prepared for the U.S. Department of Energy Office of Nuclear Energy Under DOE Idaho Operations Office Contract DE-AC07-05ID14517 ii iii ABSTRACT Silicon carbide (SiC) is being considered as a fuel cladding material for accident tolerant fuel under the Light Water Reactor Sustainability (LWRS) Program sponsored by the Nuclear Energy Division of the Department of Energy. -
Anisotropic Complex Refractive Indices of Atomically Thin Materials: Determination of the Optical Constants of Few-Layer Black Phosphorus
materials Article Anisotropic Complex Refractive Indices of Atomically Thin Materials: Determination of the Optical Constants of Few-Layer Black Phosphorus Aaron M. Ross 1, Giuseppe M. Paternò 2 , Stefano Dal Conte 1, Francesco Scotognella 1,2,* and Eugenio Cinquanta 3 1 Dipartimento di Fisica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, Italy; [email protected] (A.M.R.); [email protected] (S.D.C.) 2 Center for Nano Science and Technology@PoliMi, Istituto Italiano di Tecnologia (IIT), Via Giovanni Pascoli, 70/3, 20133 Milan, Italy; [email protected] 3 Istituto di Fotonica e Nanotecnologie, Consiglio Nazionale delle Ricerche, 20133 Milan, Italy; [email protected] * Correspondence: [email protected]; Tel.: +39-02-2399-6056 Received: 5 November 2020; Accepted: 14 December 2020; Published: 16 December 2020 Abstract: In this work, studies of the optical constants of monolayer transition metal dichalcogenides and few-layer black phosphorus are briefly reviewed, with particular emphasis on the complex dielectric function and refractive index. Specifically, an estimate of the complex index of refraction of phosphorene and few-layer black phosphorus is given. The complex index of refraction of this material was extracted from differential reflectance data reported in the literature by employing a constrained Kramers–Kronig analysis combined with the transfer matrix method. The reflectance contrast of 1–3 layers of black phosphorus on a silicon dioxide/silicon substrate was then calculated using the extracted complex indices of refraction. Keywords: transition metal dichalcogenides; black phosphorus; two-dimensional materials; complex refractive index; Kramers–Kronig analysis 1. Introduction Two-dimensional materials emerged as a promising option for the development of nanoelectronic and optoelectronic devices, due to their peculiar electronic and optical properties. -
Ceramic Matrix Composites Containing Carbon Nanotubes
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Spiral - Imperial College Digital Repository Ceramic matrix composites containing carbon nanotubes Johann Cho1,2, Aldo R Boccaccini1*, Milo SP Shaffer2* 1 Department of Materials, Imperial College London, London SW7 2BP, U.K. 2 Department of Chemistry, Imperial College London, London SW7 2AZ, U.K. *Contact authors: A. R. Boccaccini ([email protected]), M. S. P. Shaffer ([email protected]) Abstract Due to the remarkable physical and mechanical properties of individual, perfect carbon nanotubes (CNTs), they are considered to be one of the most promising new reinforcements for structural composites. Their impressive electrical and thermal properties also suggest opportunities for multifunctional applications. In the context of inorganic matrix composites, researchers have particularly focussed on CNTs as toughening elements to overcome the intrinsic brittleness of the ceramic or glass material. Although there are now a number of studies published in the literature, these inorganic systems have received much less attention than CNT/polymer matrix composites. This paper reviews the current status of the research and development of CNT-loaded ceramic matrix composite materials. It includes a summary of the key issues related to the optimisation of CNT-based composites, with particular reference to brittle matrices and provides an overview of the processing techniques developed to 1 optimise dispersion quality, interfaces and density. The properties of the various composite systems are discussed, with an emphasis on toughness; a comprehensive comparative summary is provided, together with a discussion of the possible toughening mechanism that may operate.