On effective moduli of an elastic body containing periodically distributed voids
Authors:
S. Nemat-Nasser and M. Taya
Journal:
Quart. Appl. Math. 39 (1981), 43-59
DOI:
https://doi.org/10.1090/qam/99626
MathSciNet review:
QAM99626
Full-text PDF Free Access
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References |
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Abstract: For an elastic body containing periodically distributed voids, several effective techniques are presented which can be used to obtain the effective elastic moduli with any desired degree of accuracy. The results include the effects of void geometry as well as void interactions. For a body containing spherical voids, numerical results are presented and compared with those obtained by other methods.
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E. H. Kerner, The elastic and thermo-elastic properties of composite media, Proc. Phys. Soc. 69, 808 (1956)
- Z. Hashin and S. Shtrikman, A variational approach to the theory of the elastic behaviour of multiphase materials, J. Mech. Phys. Solids 11 (1963), 127–140. MR 159459, DOI https://doi.org/10.1016/0022-5096%2863%2990060-7
R. Hill, A self-consistent mechanics of composite materials, J. Mech. Phys. Solids 13, 213 (1965)
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A. V. Hershey, The elasticity of an isotropic aggregate of anisotropic cubic crystals, J. Appl. Mech. 21, 236 (1954)
E. Kröner, Berechnung der elastischen Konstanten des Vielkristalls aus den Konstanten des Einkristalls, Z. Phys. 151, 504 (1958)
J. R. Willis, Bounds and self-consistent estimates for the overall properties of anisotropic composites, J. Mech. Phys. Solids 25, 185 (1977)
J. Christoffersen, Elastic and elastic-plastic composites: a new approach, DCAMM Report No. 61, The Technical University of Denmark, November 1973
M. Afzali and S. Nemat-Nasser, Radiation effects on elasticity of metals, J. Nuclear Materials, 87, 175 (1979)
J. K. MacKenzie, The elastic constants of a solid containing spherical holes, Proc. Phys. Soc. 63, 376 (1950)
E. H. Kerner, The elastic and thermo-elastic properties of composite media, Proc. Phys. Soc. 69, 808 (1956)
Z. Hashin and S. Shtrikman, A variational approach to the theory of the elastic behavior of multiphase materials, J. Mech. Phys. Solids 11, 127 (1963)
R. Hill, A self-consistent mechanics of composite materials, J. Mech. Phys. Solids 13, 213 (1965)
B. Budiansky, On the elastic moduli of some heterogeneous materials, J. Mech. Phys. Solids 13, 223 (1965)
J. D. Eshelby, The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proc. Roy. Soc. London A241, 376 (1957)
A. V. Hershey, The elasticity of an isotropic aggregate of anisotropic cubic crystals, J. Appl. Mech. 21, 236 (1954)
E. Kröner, Berechnung der elastischen Konstanten des Vielkristalls aus den Konstanten des Einkristalls, Z. Phys. 151, 504 (1958)
J. R. Willis, Bounds and self-consistent estimates for the overall properties of anisotropic composites, J. Mech. Phys. Solids 25, 185 (1977)
J. Christoffersen, Elastic and elastic-plastic composites: a new approach, DCAMM Report No. 61, The Technical University of Denmark, November 1973
M. Afzali and S. Nemat-Nasser, Radiation effects on elasticity of metals, J. Nuclear Materials, 87, 175 (1979)
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Article copyright:
© Copyright 1981
American Mathematical Society
