Some results on thermopiezoelectricity of nonsimple materials

Abstract

In this paper, we consider the linear theory for a model of a thermopiezoelectric nonsimple material adopting the entropy production inequality proposed by Green and Laws as presentated in Passarella (2022). We establish reciprocity theorems and a variational principle for homogeneous and anisotropic thermopiezoelectric nonsimple materials with a center of symmetry. The proof of these theorems use the time convolution product and an alternative formulation of the field equations. Moreover, a uniqueness result is established without using the definiteness assumptions on internal energy.