On the theory of thermoelastic materials with a double porosity structure

The linear theory of thermoelastic materials with a double porosity structure is considered. In the first part article we establish some basic theorems in dynamical theory. We derive reciprocity relation which involves two processes at different instants. This result forms basis uniqueness and reciprocal theorem. theorem established no definiteness assumption on elastic constitutive coefficients. Then variational Gurtin type are presented. propagation conditions growth equations govern acceleration waves homogeneous isotropic solids investigated. equilibrium study deformation hollow cylinder.