A constitutive model in finite viscoelasticity with an entropy-driven material clock
type: Item
instance of: scholarly article
title: A constitutive model in finite viscoelasticity with an entropy-driven material clock
zbMATH Open document ID: 0890.73024
DOI: 10.1016/S0895-7177(97)00083-6
published in: Mathematical and Computer Modelling
publication date: 1998-07-01T00:00:00Z
review text: By using the concept of transient polymeric network, the author derives a constitutive model for nonlinear viscoelastic response of polymers under isothermal loading at finite strains. The viscoelastic material is thought of as a network of active and dangling chains, where the rates of breakage and deformation of active chains depend on the specific entropy, i.e. the entropy is considered as a measure of mobility for polymeric chains, and this is called an entropy-driven internal clock. Contents: 1. Constitutive equations for stresses in Gaussian and non-Gaussian transient networks; 2. Explicit expressions for specific entropy, internal energy, and free energy of a network; 3. Simple shear of a viscoelastic material; 4. Concluding remarks.
Mathematics Subject Classification ID: 74D10
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 74D99
Mathematics Subject Classification ID: 82D60
zbMATH DE Number: 1067130
zbMATH Keywords: simple shear
zbMATH Keywords: transient polymeric network
zbMATH Keywords: isothermal loading
zbMATH Keywords: finite strains
zbMATH Keywords: active and dangling chains
zbMATH Keywords: Gaussian and non-Gaussian transient networks
zbMATH Keywords: internal energy
zbMATH Keywords: free energy
author: Aleksey D. Drozdov
reviewed by: Gheorghe Gr. Ciobanu
MaRDI profile type: Publication
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full work available at URL: s0895-7177(97)00083-6
OpenAlex ID: W2045470730
description: scientific article; zbMATH DE number 1067130