Moore-Gibson-Thompson thermoelasticity in the context of double porous materials

The present study approaches the theory of Moore-Gibson-Thompson thermoelasticity in the context of the materials with double porosity structure. The main results of the present study are based on a reciprocity theorem for the thermoelastic materials with double porosity that leads us in determining of the uniqueness theorems for the solution of mixed problems for the materials with double porosity. The reciprocity theorem is a Betti-type result that has the main goal to establish the connection between the external action systems and their thermoelastic states. In order to obtain the uniqueness results, it was introduced a new form of energy equation.