Comparison of Porosity and Voids Theories

Abstract

In chapter 2 we discussed several different models for the description of a double porosity elastic medium. Chapter 3 also derives another model for an elastic body containing two levels of porosity, a theory based on two voids distributions. In this chapter we shall compare the Svanadze model of chapter 3, see section 2.3, to that of Iesan & Quintanilla [? ] as discussed in section 3.4.1. The comparison we make is based on the equations of a linearized theory and we use two methods to compare the solution behaviour. We firstly study the movement of an acceleration wave. The second method is to study how uniqueness follows from a logarithmic convexity argument when the elastic coefficients are not required to be sign definite.