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A Thermomechanical Theory for a Porous Anisotropic Elastic Solid with Inclusions

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Abstract

We construct a mixture theory which describes a porous elastic anisotropic solid with inclusions. Thermal effects are taken into account. The theory is in accord with classical thermodynamics. Fully nonlinear isotropic and anisotropic materials are considered, and field equations are also given for a nontrivial special case which, though nonlinear, is controlled by a few material functions. When properly specialized, the theory reduces to the P-α model, a model widely used to describe porous solids.

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This work is dedicated to Jerald L. Ericksen on the occasion of his 60th birthday

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© 1986 Springer-Verlag Berlin Heidelberg

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Passman, S.L., Batra, R.C. (1986). A Thermomechanical Theory for a Porous Anisotropic Elastic Solid with Inclusions. In: The Breadth and Depth of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61634-1_27

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  • DOI: https://doi.org/10.1007/978-3-642-61634-1_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16219-3

  • Online ISBN: 978-3-642-61634-1

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