In this paper, we consider the linear theory for a model of a thermopiezoelectric nonsimple material as presentated in Passarella and Tibullo (2022), adopting the entropy production inequality proposed by Green and Laws. 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.
Some results on thermopiezoelectricity of nonsimple materials
Ciarletta M.;Nunziata M.;Passarella F.;Tibullo V.
2022-01-01
Abstract
In this paper, we consider the linear theory for a model of a thermopiezoelectric nonsimple material as presentated in Passarella and Tibullo (2022), adopting the entropy production inequality proposed by Green and Laws. 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.File in questo prodotto:
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