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On a Correspondence Between Mechanical and Thermal Effects in Two-Phase Composites

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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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© 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

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8921-7

  • Online ISBN: 978-1-4613-8919-4

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