Nonlinear constitutive equations for thermo-electroelastic materials
type: Item
instance of: scholarly article
title: Nonlinear constitutive equations for thermo-electroelastic materials
zbMATH Open document ID: 0980.74019
DOI: 10.1016/S0093-6413(99)00032-4
author: Abo-el-nour N. Abd-alla
published in: Mechanics Research Communications
publication date: 2002-03-04T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74A20
zbMATH DE Number: 1445992
zbMATH Keywords: nonlinear constitutive equations
zbMATH Keywords: thermo-electroelastic materials
zbMATH Keywords: quasi-electrostatic approximation
zbMATH Keywords: field equations
zbMATH Keywords: polynomial approximation
zbMATH Keywords: free energy density
zbMATH Keywords: material tensors
zbMATH Keywords: mechanical stress tensor
zbMATH Keywords: electrical stress tensor
zbMATH Keywords: total stress tensor
zbMATH Keywords: material polarisation vector
zbMATH Keywords: spatial electric field
zbMATH Keywords: entropy density
reviewed by: Erdoğan S. Şuhubi
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1445992