Journal
MATHEMATICS AND MECHANICS OF SOLIDS
Volume 11, Issue 6, Pages 575-595Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1081286506052339
Keywords
mixtures theory; deformable porous media; growth; constitutive equations
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The mechanical behavior of a mixture composed by an elastic solid and a fluid that exchange mass is investigated. Both the liquid flow and the solid deformation depend on how the solid phase has increased (diminished) its mass, i.e. on the mass conversion between constituents. The model is developed introducing a decomposition of the solid phase deformation gradient. In particular, exploiting the criterion of maximization of the rate of entropy production, we determine an explicit evolution equation for the so-called growth tensor which involves directly the solid stress tensor. An example of a possible choice of the constitutive functions is also presented.
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