Materials with fluid-filled pores of various shapes: Effective elastic properties and fluid pressure polarization

Three-dimensional solids with ellipsoidal pores of various shapes filled with compressible fluid are analyzed in the "undrained" approximation. Fluid pressures in cavities, induced by externally applied loads, depend on cavity shapes and cavity orientations with respect to the applied loads. This phenomenon ("pressure polarization") is coupled with the overall elastic response. The analysis covers mixtures of cavities of diverse shapes and arbitrary orientational distributions. Identification of the proper parameters of cavity density plays the key role in the analysis. © 1997 Elsevier Science Ltd.