Abstract

This paper deals with the derivation of an evolution equation for the field here denoted by Δ n, which represents the difference between the porosity in an arbitrary state of a deformable porous medium and its equilibrium value. The equation is obtained assuming that Δ n is a constitutive quantity depending on the history of the fields describing macroscopically a porous material. Moreover, at least in the vicinity of the state of stable equilibrium, the equation obtained for Δ n can be regarded as a balance equation liable to various degrees of approximation, so including various models with additional balance laws known in the literature.

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