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Most solid bodies are porous and in such bodies we expect the material properties to vary with porosity and hence with the density. Such bodies whose properties depend on the density cannot be described by the classical linearized elastic constitutive relation when they are undergoing small deformations, as the material moduli cannot depend on density. A constitutive relation which is valid in the...
In this paper we consider a generalization of Brinkman's equation governing the flow of an incompressible fluid through a porous medium to take into account the variation of the viscosity with the pressure. There is overwhelming evidence that the viscosity depends on pressure and that this dependence is exponential. We also consider the problem of a barotropic fluid in which both the viscosity and...
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