arXiv · 2209.01645
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.
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Michele Ciarletta, Martina Nunziata, Francesca Passarella, Vincenzo Tibullo. 2022-09-04. Some results on thermopiezoelectricity of nonsimple materials. https://doi.org/10.1016/j.mechrescom.2022.103969
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