Nonlinear constitutive equations for thermo-electroelastic materials
The constitutive relations of an elastic solid with thermal and electromagnetic interactions in the quasi-electrostatic approximation and the corresponding field equations in the material description are well-known. In this work, the author adopts a polynomial approximation for free energy density per unit volume in reference configuration. It involves terms up to the fifth degree in strain tensor, up to the fourth degree in the electric field vector, up to the third degree in temperature deviation, and mixed terms up to the fifth degree. The coefficients are material tensors of appropriate orders, and they reveal various interactions between field quantities. Then, by resorting to constitutive relations, the author examines the explicit constitutive relations determining mechanical stress tensor, electrical stress tensor, total stress tensor, material polarisation vector, spatial electric field vector and entropy density. Finally, the author discusses some special cases.
scientific article; zbMATH DE number 1445992