A Poroelastic Material with a Scale Independent Pressure-Volume Relation

摘要

A poroelastic material with arbitrary pore space geometry is considered. The porous material is made of a single phase solid constituent. The pressure of the non-porous solid constituent is considered to be a unique function of relative volume, and the average solid pressure is assumed to be a unique function of solid relative volume. The assumption that this function has the same form as the pressure-volume relation of the non-porous solid is examined. It is found that this assumption is correct only for a special type of elastic solid described in this work.