Saturated Elastic Porous Solids: Incompressible,Compressible and Hybrid Binary Models |
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Authors: | de Boer Reint Didwania Anjani Kumar |
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Institution: | (1) Institut für Mechanik, FB 10 – Bauwesen, Universität Essen, 45117 Essen, Germany;(2) Present address: University of California, San Diego (UCSD);(3) Department of Mechanical and Aerospace Engineering, University of California, San Diego, 9500 Gillman Drive, La Jolla, CA, 92093-0411, U.S.A |
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Abstract: | Constitutive models for a general binary elastic-porous media are investigated by two complementary approaches. These models include both constituents treated as compressible/incompressible, a compressible solid phase with an incompressible fluid phase (hybrid model of first type), and an incompressible solid phase with a compressible fluid phase (hybrid model of second type). The macroscopic continuum mechanical approach uses evaluation of entropy inequality with the saturation condition always considered as a constraint. This constraint leads to an interface pressure acting in both constituents. Two constitutive equations for the interface pressure, one for each phase, are identified, thus closing the set of field equations. The micromechanical approach shows that the results of Didwania and de Boer can be easily extended to general binary porous media. |
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Keywords: | elastic-porous media compressible incompressible and binary models compressible and incompressible fluids macro- and microscopic approaches |
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