A Green-Naghdi approach for thermo-electroelasticity

4th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Montanaro, A.^1

University of Padua, Italy^1

关键词: Constitutive relations;    Continuum theory;    Electric behavior;    Electroelasticity;    Finite speed;    Induced strain;    Piezoelectric modulus;    Thermoelasticity theory;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/633/1/012129/pdf
DOI  :  10.1088/1742-6596/633/1/012129

来源: IOP

【 摘 要 】

The constitutive relations of piezoelectric ceramics are essentially nonlinear since the so-called piezoelectric moduli depend on the induced strains. Pioneering papers in these topics dealt mainly with the isothermal case. In view of applications, however, thermal effects have to be taken into account in connection with thermo-electric behaviors. Here we briefly compare continuum theories for nonlinear thermoelettroelasticity. In particular we describe an extension of Green-Naghdi thermoelasticity theory for an electrically polarizable and finitely deformable heat conducting elastic continuumn, which interacts with the electric field. In this theory, unlike other, thermal waves propagate at a finite speed.