Abstract
This paper considers the thermomechanical loading problem of binary composites with any anisotropic elastic constituents and arbitrary phase geometry, subjected to homogeneous traction or displacement boundary conditions and uniform temperature change. It is shown that the solution of the thermomechanical problem is uniquely determined by the solution of the purely mechanical problem corresponding to zero temperature change. This result is used to obtain explicit relations between the effective thermal strain (or stress) coefficient tensor and the effective mechanical properties. The correspondence between thermomechanical and purely mechanical loads is also used to establish an important consistency property of the Mori-Tanaka model in the context of thermomechanical problems. Extensions of the results to composite systems with temperature-dependent properties is discussed.
On sabbatical leave from Tel-Aviv University.
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References
Benveniste, Y. (1987), A new approach to the application of Mori–Tanaka’s theory in composite materials, Mech. Materials, 6, 147–157.
Dvorak, G. J. (1983), Metal matrix composites: Plasticity and fatigue, in Mechanics of Composite Materials—Recent Advances, edited by Z. Hashin and C. T. Herakovich, Pergamon Press, New York, pp. 73–92
Dvorak, G. J. (1986), Thermal expansion of elastic?plastic composite materials,J. Appl. Mech., 53, 737–743
Dvorak, G. J. and Chen, T., (1988), Thermal expansion of three-phase composite materials, to be published.
Eshelby, J. D. (1957), The determination of the elastic field of an ellipsoidal inclusion and related problems, Proc. Roy. Soc. London, A241, 376–396.
Hill, R. (1963), Elastic properties of reinforced solids: Some theoretical principles, J. Mech. Phys. Solids, 11, 357–372.
Laws, N. (1973), On the thermostatics of composite materials, J. Mech. Phys. Solids, 21, 9–17.
Laws, N. (1974), The overall thermoelastic moduli of transversely isotropic composites
according to the self-consistent method, Int. J. Engng. Sci.,12 79–87.
Levin, V. M. (1967), Thermal expansion coefficients of heterogeneous materials,Mekhanika Tverdogo Tela, 2, 88–94.
Mori, T. and Tanaka, K. (1973), Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metallurgica,21 571–574.
Rosen, B. W. and Hashin, Z. (1970), Effective thermal expansion coefficients and specific heats of composite materials, Int. J. Engng. Sci. 8, 157–173.
Schapery, R. A. (1968), Thermal expansion coefficients of composite materials based on energy principles, J. Composite Materials, 2, 380–404.
Takahashi, K., Harakawa, K., and Sakai, T. (1980), Analysis of the thermal expansion coefficients of particle filled polymers, J. Composite Materials, Suppl., 14, 144–159.
Takao, Y. (1985), Thermal expansion coefficients in misoriented short-fiber composites, in Recent Advances in Composites in the United States and Japan, ASTM STP 864, 685–689.
Takao, Y. and Taya, M. (1985), Thermal expansion coefficients and thermal stresses in an aligned short fiber composite with application to a short carbon fiber/aluminum, J. Appl. Mech., 52, 806–810.
Wakashima, K., Otsuka, M., and Umekawa, S. (1974), Thermal expansion of heterogeneous solids containing aligned ellipsoidal inclusions, J. Composite Materials, 8, 391–404.
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© 1990 Springer-Verlag New York Inc.
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Benveniste, Y., Dvorak, G.J. (1990). On a Correspondence Between Mechanical and Thermal Effects in Two-Phase Composites. In: Weng, G.J., Taya, M., Abé, H. (eds) Micromechanics and Inhomogeneity. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8919-4_4
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DOI: https://doi.org/10.1007/978-1-4613-8919-4_4
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