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Constitutive relations for thermo‐elastic porous solids
Author(s) -
Bluhm J.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20000801332
Subject(s) - compressibility , constitutive equation , porous medium , compression (physics) , deformation (meteorology) , porosity , materials science , mechanics , mixture theory , classical mechanics , thermodynamics , mathematics , composite material , finite element method , physics , statistics , mixture model
Bused on the theory of porous media (TPM), constitutive relations for the so‐called “effective” stresses of the thermo‐elastic compressible or incompressible solid phase of a fluid saturated or an empty porous solid will be presented. For the description of a compressible solid within the framework of finite deformation processes, well‐known constitutive laws for one‐component materials can be used. For incompressible porous solids, one has to consider that the so‐culled compression point exists (in this point all pores are closed and no further volume compression can occur). With respect to the description of the aforementioned effect, constitutive relations for incompressible solids are developed following the structure of the constitutive laws for compressible solids.