Nonlinear thermoelasticity of ferroelastics
type: Item
instance of: scholarly article
title: Nonlinear thermoelasticity of ferroelastics
zbMATH Open document ID: 0927.74024
DOI: 10.1016/S0093-6413(98)00017-2
author: B. Maruszewski
author: Liliana Restuccia
published in: Mechanics Research Communications
publication date: 1998-11-01T00:00:00Z
review text: A ferroelastic crystal is defined as a crystal which has at least two orientation states that differ in at least one of the components of the spontaneous strain tensor. A suitably oriented uniaxial stress can switch one ferroelastic state to another, and strain-stress hysteresis is a salient feature of ferroelastic materials. In this work, the authors propose a constitutive theory by choosing a set of independent constitutive variables which consist of the Cauchy stress tensor, temperature, temperature gradient, heat flux vector and a set of internal variables called anisotropy-grain tensors. For the heat flux vector and internal variables, appropriate evolution equations are derived. Then the standard use of the well-known entropy inequality yields the desired constitutive relations in terms of Helmholtz free energy and a vector thermodynamical potential. The authors also give isotropic constitutive relations for strain tensor and for the evolution of heat flux vector. There are no applications which prove that the proposed constitutive relations describe satisfactorily the expected behaviour of ferroelastic materials.
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 82D45
zbMATH DE Number: 1216515
zbMATH Keywords: ferroelastic crystal
zbMATH Keywords: strain-stress hysteresis
zbMATH Keywords: Cauchy stress tensor
zbMATH Keywords: temperature
zbMATH Keywords: temperature gradient
zbMATH Keywords: heat flux vector
zbMATH Keywords: anisotropy-grain tensors
zbMATH Keywords: entropy inequality
zbMATH Keywords: constitutive relations
zbMATH Keywords: Helmholtz free energy
zbMATH Keywords: vector thermodynamical potential
reviewed by: Erdoğan S. Şuhubi
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1216515