Uniqueness of solutions in thermopiezoelectricity of nonsimple materials

Abstract

In this paper, using the entropy production inequality of Green and Laws, the theory of thermopiezoelectricity is presented, in which the second gradient of displacement and the second gradient of electric potential are included in the set of independent constitutive variables. At first, the appropriate thermodynamic restrictions and constitutive equations are obtained. Then, the basic equations of linear theory are derived and a uniqueness result for the mixed boundary-initial value problem is presented.

15 pages, 0 figures

References in corpus (2)

• Recent Progress in the Definition of Thermodynamic Entropy
• Stochastic thermodynamics of a piezoelectric energy harvester model

Cited by in corpus (1)

• Some results on thermopiezoelectricity of nonsimple materials