The initial elastic properties of two unidirectional ceramic matrix composite tows, comprised of continuous, cylindrical fibers surrounded by one or more matrices, have been calculated using three different methods. The first uses finite element (FE) analysis of the tow to calculate values for elastic and shear moduli and Poisson’s ratios in the three principal directions, and in the absence of confirmatory experimental data is regarded as the most accurate for a wide range of fiber/matrix geometries and materials. The other two models are (i) rule of mixtures, ROM/volume averaging and (ii) the approximate equations of Halpin-Tsai and analytical relations based on slab representation for composite materials that rely on the elastic properties and volume fractions of the constituent materials. Initial elastic properties of the tows determined by the FE method are presented, and they are compared with predictions made by the other two techniques.
Issue Section:
Research Papers
References
1.
Evans
, A. G.
, and Marshall
, D. B.
, 1989, “The Mechanical Performance of Fibre Reinforced Ceramic Matrix Composites
,” Proceedings of International Conference on Materials and Engineering Design: The Next Decade
, London, pp. 251
–186
.2.
Kelly
, A
., 1989, “CMCs
,” Concise Encyclopaedia of Composite Materials
, Pergamon
, Oxford
.3.
Chawla
, K. K.
, 1993, Ceramic Matrix Composites
, Chapman and Hall
, London
, Chap. 3.4.
Evans
, A. G.
, and Naslain
, R.
, 1995, “High-Temperature Ceramic-Matrix Composites
,” Ceram. Trans.
, 57
, pp. 381
–388
.5.
Del Puglia
, P.
, Sheikh
, M. A.
, and Hayhurst
, D. R.
, 2005, “Thermal Transport Property Prediction of a CMC Laminate From Base Material Properties and Manufacturing Porosities
,” Proc. R. Soc. London, Ser. A
, 461
, pp. 3575
–3597
.6.
Hayhurst
, D. R.
, Leckie
, F. A.
, and Evans
, A. G.
, 1991, “Component Design-Based Model for Deformation and Rupture of Tough Fibre Reinforced Ceramic Matrix Composites
,” Proc. R. Soc. London, Ser. A
, 434
, pp. 369
–381
.7.
Haddad
, S. H.
, Hayhurst
, D. R.
, and Leckie
, F. A.
, 1991, “Design of Uni-Axially Loaded Components Fabricated From Tough Fibre Reinforced Ceramic Matrix Composites
,” Proc. R. Soc. London, Ser. A
, 434
, pp. 383
–397
.8.
Cox
, B. N.
, McMeeking
, R. M.
, and McGlockton
, M. A.
, 1999, “The Binary Model—A Computational Approach to Textile Composites
,” ICCM12 Conference
, Paris, July 1999, Paper 827, pp. 1
–10
.9.
Zhang
D.
, and Hayhurst
, D. R.
, 2010, “Stress-Strain and Fracture Behaviour of 0°/90° and Plain Weave Ceramic Matrix Composites From Tow Multi-Axial Properties
,” Int. J. Solids Struct.
, 47
, pp. 2958
–2969
.10.
Cox
, B. N.
, and Yang
, Q.
, 2006, “In Quest of Virtual Tests for Structural Composites
,” Science
, 314
(5802
), pp. 1102
–1107
.11.
Yang
, Q. D.
, and Cox
, B.
, 2010, “Predicting Failure in Textile Composites Using the Binary Model With Gauge-Averaging
,” Eng. Fract. Mech.
, 77
, pp. 3174
–3189
.12.
Tang
, C.
, Sheikh
, M. A.
, and Hayhurst
, D. R.
, 2010, “Finite Element Modelling of Transverse Deformation in Representative Volume Elements of Ceramic Matrix Composites (CMCs)
,” J. Multiscale Model.
, 2
(1–2
), pp. 107
–126
.13.
Blacklock
, M.
, and Hayhurst
, D. R.
, 2011, “Multi-Axial Failure of Ceramic Matrix Composite Fibre Tows
,” J. Appl. Mech.
, 78
, p. 031017
.14.
Halpin
, J. C.
, and Tsai
, S. W.
, 1967, “Environmental Factors in Composite Design
,” Air Force Materials Laboratory, Technical Report No. AFML-TR-67-423.15.
Clyne
, T. W.
, and Withers
, P. J.
, 1993, An Introduction to Metal Matrix Composites
, Cambridge University Press
, Cambridge, UK
, pp. 12
–43
.16.
Eshelby
, J. D.
, 1959, “The Elastic Field Outside an Ellipsoidal Inclusion
,” Proc. R. Soc. London, Ser. A
, 252
, pp. 591
–569
.17.
Bohm
, H. J.
, 2008, “A Short Introduction to Basic Aspects of Continuum Micromechanics
,” ILBS Report No. 206.18.
Jumel
, J.
, Lepoutre
, F.
, Frieb
, M.
, Krenkel
, W.
, and Neuer
, G.
, 2001, “Microscopic Thermal Characterization of C/C-SiC Composites
,” High Temperature Ceramic Matrix Composites
, Wiley
, New York
.19.
Reuss
, A.
, 1929, “Berechnung der flieβgrenze von Mishkristallen auf Grund der Plastizitätsbedingung für Einkristalle
,” Z. Angew. Math. Mech.
, 9
, pp. 49
–58
.20.
Halpin
, J. C.
, and Kardos
, J. L.
, 1976, “Halpin-Tsai Equations: A Review
,” Polym. Eng. Sci.
, 16
(5
), pp. 344
–352
.21.
Tang
, C.
, and Hayhurst
, D. R.
, 2011, “Predictions of Thermo-Mechanical Behaviour of a Nicalon-CAS 0°–90° Ceramic Matrix Composite From Constituent Materials Properties
,” J. Compos. Mater.
, 45
(12
), pp. 1337
–1350
.22.
Zhang
, D.
, and Hayhurst
, D. R.
, 2011, “Influence of Applied In-Plane Strain on Transverse Thermal Conductivity of 0°/90° and Plain Weave Ceramic Matrix Composites
,” Int. J. Solids Struct.
, 48
(5
), pp. 828
–842
.23.
Zhang
, D.
, and Hayhurst
, D. R.
, 2010, “Stress-Strain and Fracture Behaviour of an 8-Harness Satin Weave Ceramic Matrix Composites
,” The University of Manchester, U.K., School of M.A.C.E., Research Report No. DMM. 10.13.24.
Zhang
, D.
, and Hayhurst
, D. R.
, 2010, “Influence of Applied In-Plane Strain on Transverse Thermal Conductivity of an 8-Harness Satin Weave Ceramic Matrix Composites
,” The University of Manchester, U.K., School of M.A.C.E., Research Report No. DMM. 10.14.25.
Mathur
, R.
, 1991, private communication.26.
Krenkel
, W.
, 2005, “Carbon Fibre Reinforced Silicon Carbide Composites
,” Handbook of Ceramic
, N. P.
Bansal
, ed., Kluwer Academic
, Boston
, pp. 117
–148
.27.
Del Puglia
, P.
, Sheikh
, M. A.
, and Hayhurst
, D. R.
, 2004, “Classification and Quantification of Initial Porosity in a CMC Laminate
,” Composites, Part A
, 35
, pp. 223
–230
.28.
Sheikh
, M. A.
, Taylor
, S. C.
, Hayhurst
, D. R.
, and Taylor
, R.
, 2009, “Experimental Investigation of the Effect of Mechanical Loading on Thermal Transport in Ceramic Matrix Composites
,” J. Multiscale Model.
, 1
(3–4
), pp. 403
–431
.29.
Tang
, C.
, Blacklock
, M.
, and Hayhurst
, D. R.
, 2011, “Stress-Strain Response and Thermal Conductivity Degradation of Ceramic Matrix Composite Fibre Tows in 0°–90° Uni-Directional and Woven Composites
,” J. Compos. Mater.
, 45
(14
), pp. 1461
–1482
.30.
Gibson
, R. F.
, 1994, Principals of Composite Material Mechanics
, McGraw-Hill
, New York
.31.
Yang
, Q. D.
, Rugg
, K. L.
, Cox
, B. N.
, and Marshall
, D. B.
, 2005, “Evaluation of Macroscopic and Local Strains in a Three-Dimensional Woven C/SiC Composite
,” J. Am. Ceram. Soc.
, 88
, pp. 719
–25
.32.
Tang
, C.
, Blacklock
, M.
, and Hayhurst
, D. R.
, 2009, Uni-Axial Stress-Strain Response and Thermal Conductivity Degradation of Ceramic Matrix Composite Fibre Tows
,” Proc. R. Soc. London, Ser. A
, 465
, pp. 2849
–2876
.33.
“
ABAQUS User Manual
,” 2006, Version 6.6., SIMULIA, Providence, RI.34.
Ishiguro
, Y.
, Akatsu
, T.
, Tanabe
, Y.
, and Yasuda
, E.
, 1999, “Shear Failure Behavior of Continuous Fiber Reinforced Ceramic Matrix Composites
,” Key Eng. Mater.
, 164–165
, pp. 171
–174
.35.
Gipple
, K.
, and Hoyns
, D.
, 1994, “Measurement of the Out-Of-Plane Shear Response of Thick Section Composite Materials Using the V-Notched Beam Specimen
,” J. Compos. Mater.
, 28
(6
) pp. 543
–572
.36.
Clyne
, T. W.
, 1990, “A Compressibility-Based Derivation of Simple Expressions for the Transverse Poisson’s Ratio and Shear Modulus of an Aligned Long Fibre Composite
,” J. Mater. Sci. Lett.
, 9
, pp. 336
–339
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