A solid-fluid mixture model allowing for solid dilatation under external pressure

Details A solid-fluid mixture model allowing for solid dilatation under external pressure A solid-fluid mixture model allowing for solid dilatation under external pressure

2010-07-12

arxiv.org/abs/1007.1926v1

Continuum Mechanics and Thermodynamics, vol. 13, 2001, pp. 287-306

Physics

Classical Physics

20 pages

Scientific paper

A sponge subjected to an increase of the outside fluid pressure expands its volume but nearly mantains its true density and thus gives way to an increase of the interstitial volume. This behaviour, not yet properly described by solid-fluid mixture theories, is studied here by using the Principle of Virtual Power with the most simple dependence of the free energy as a function of the partial apparent densities of the solid and the fluid. The model is capable of accounting for the above mentioned dilatational behaviour, but in order to isolate its essential features more clearly we compromise on the other aspects of deformation.

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