Thermal expansion of polycrystalline aggregates consisting of elongated crystals and containing cylindrical pores or inclusions

Journal of the Mechanics and Physics of Solids

Volumn 44, Issue 1, 1996, Pages 137-153

  Benveniste, Y ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043125160     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/0022-5096(95)00069-0     Document Type: Article

References (24)

1. Avellaneda, M. and Milton G. W. (1989) Optimal bounds on the effective bulk modulus of polycrystals. SIAM J. Appl. Math. 49, 824-837.
2. Avellaneda, M., Cherkaev A. V., Gibiansky, L. V., Milton G. W. and Rudelson, M. (1995) A complete characterization of the possible bulk and shear moduli of planar polycrystals. (To appear.)
3. Benveniste, Y. (1993) Exact results in micromechanics of fibrous piezoelectric composites exhibiting pyroelectricity. Proc. Roy. Soc. Lond. A. 441, 59-81.
4. Benveniste, Y. (1994) Exact connections between polycrystal and crystal properties in two-dimensional polycrystalline aggregates. Proc. Roy. Soc. Lond. A. 441, 1-22.
5. Benveniste, Y. and Dvorak G. J. (1990) On a correspondence between mechanical and thermal effects in two-phase composites. In Toshio Mura Anniversary Volume, Micromechanics and Inhomogeneity (ed. G. J. Weng, M. Taya and H. Abé), pp. 77-98. Springer-Verlag, New York.
6. Christensen, R. M. (1994) Properties of carbon fibers. J. Mech. Phys. Solids 42, 681-695.
7. Cribb, J. L. (1968) Shrinkage and thermal expansion of a two-phase material. Nature 220, 576-577.
8. Dresselhaus, M. S., Dresselhaus, G., Sugihara, K., Spain, I. L. and Goldberg H. A. (1988) Graphite fibers and filaments. Springer-Verlag, Berlin.
9. Dvorak G. J. (1986) Thermal expansion of elastic plastic composite materials. ASME J. Appl. Mech. 53, 737-743.
10. Dvorak G. J. (1990) On uniform fields in heterogeneous media. Proc. Roy. Soc. Lond. A. 431, 89-110.
11. Dvorak G. J. and Chen, T. (1989) Thermal expansion of three-phase composite materials. ASME J. Appl. Mech. 56, 418-422.
12. Dykhne, A. M. (1970) Conductivity of a two-dimensional two-phase system. Sov. Phys. JETP 32, 348-351.
13. Guigon, M., Oberlin, A. and Desarmot, G. (1984) Microstructure and structure of some high tensile strength, PAN-Base Carbon Fibers. Fibre Sci. Technol. 20, 55-72.
14. Hashin, Z. (1984) Thermal expansion of polycrystalline aggregates. I. Exact results. J. Mech. Phys. Solids 32, 149-157.
15. Hashin, Z. (1990) Thermoelastic properties and conductivity of carbon/carbon fiber composites. Mech. Mater. 8, 293-308.
16. Levin, V. M. (1967) Thermal expansion coefficients of heterogeneous materials Mekhanika Tverdogo Tela 2, 88-94;
17. English translation Mechanics of Solids 11, 58-61.
18. Lurie, K. A. and Cherkaev A. V. (1981) G-closure of a set of anisotropic conducting media in two-dimensions. Sov. Phys. Dokl. 26, 657-659.
19. Mendelson, K. S. (1975) A theorem on the conductivity of a two-dimensional heterogeneous medium. J. Appl. Phys. 46, 4740-4741.
20. Perret, R. and Ruland, W. (1969) Single and multiple X-ray small-angle scattering of carbon fibers. J. Appl. Cryst. 2, 209-218.
21. Schulgasser, K. (1977) Bounds on the conductivity of statistically isotropic polycrystals. J. Phys. C. Solid State Phys. 10, 407-417.
22. Schulgasser, K. (1987) Thermal expansion of polycrystalline aggregates with texture. J. Mech. Phys. Solids 35, 35-42.
23. Schulgasser, K. (1989a) Environmentally induced expansion of heterogeneous media. ASME J. Appl. Mech. 56, 546-549.
24. Schulgasser, K. (1989b) The relationship between stiffness and thermal expansion of carbon fibers. Mater. Sci. Engng A-110, L35-L37.