Numerical methods for treating problems of viscoelastic isotropic solid deformation
type: Item
instance of: scholarly article
title: Numerical methods for treating problems of viscoelastic isotropic solid deformation
zbMATH Open document ID: 0853.73026
DOI: 10.1016/0377-0427(95)00059-3
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 1996-07-15T00:00:00Z
review text: Mathematical models for treating problems of linear viscoelasticity involving hereditary constitutive relations for compressible solids are discussed, and their discretization using finite element methods in space together with quadrature rules in time to treat the hereditary integrals is described. The range of applicability of this type of formulation is reviewed in the context of geometric and constitutive linearity/nonlinearity, and the limitations imposed by the availability of physical data are discussed.
Mathematics Subject Classification ID: 74Hxx
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 903492
zbMATH Keywords: Volterra integral equation of second kind
zbMATH Keywords: linear viscoelasticity
zbMATH Keywords: hereditary constitutive relations
zbMATH Keywords: compressible solids
zbMATH Keywords: finite element methods in space
zbMATH Keywords: quadrature rules in time
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00059-3
OpenAlex ID: W2014588525
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description: scientific article; zbMATH DE number 903492