An internal-variable theory of thermo-viscoelastic constitutive relations at finite strain
type: Item
instance of: scholarly article
title: An internal-variable theory of thermo-viscoelastic constitutive relations at finite strain
zbMATH Open document ID: 0998.74017
DOI: 10.1007/BF02897147
author: Jian-Kang Chen
author: Wenbiao Wang
author: Zhuping Huang
published in: Science in China. Series A
publication date: 2000-11-16T00:00:00Z
review text: Based on the nonequilibrium thermodynamic theory, the authors propose a new thermo-viscoelastic relation at finite strain. Under the assumption that the specific heat at a fixed strain and fixed internal variables can be regarded as constant values, the authors derive a new expression for the free energy which decouples mechanical and thermal effects. Through an analysis of mesoscopic deformation mechanism of solid polymers, a set of internal variables is introduced, and an internal-variable constitutive theory in thermo-viscoelasticity at finite strain is formulated. An explicit thermo-viscoelastic constitutive relation is obtained for solid polymers in the case when their molecular network has a randomly oriented distribution function in the reference configuration. Moreover, the authors also discuss a relationship between relaxation time and temperature. The usual viscoelastic constitutive theory is only a linear approximation of the present theory.
reviewed by: D. Ieşan
Mathematics Subject Classification ID: 74D10
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 74F05
zbMATH DE Number: 1531258
zbMATH Keywords: thermo-viscoelastic constitutive relations
zbMATH Keywords: nonequilibrium thermodynamic theory
zbMATH Keywords: finite strain
zbMATH Keywords: free energy
zbMATH Keywords: mesoscopic deformation mechanism
zbMATH Keywords: solid polymers
zbMATH Keywords: internal-variable constitutive theory
zbMATH Keywords: molecular network
zbMATH Keywords: randomly oriented distribution function
zbMATH Keywords: relaxation time
MaRDI profile type: Publication
cites work: A new viscoelastic constitutive model for continuous media at finite thermomechanical changes
cites work: A nonlinear thermoelasticity theory
cites work: Nonequilibrium statistical thermodynamic theory for viscoelasticity of polymers
cites work: Q4382675
description: scientific article; zbMATH DE number 1531258