ON THE NUMERICAL APPROXIMATION OF AN EVOLUTION PROBLEM IN NONLINEAR VISCOELASTICITY

Authors
FRENCH DA WAHLBIN LB
Citation
Da. French et Lb. Wahlbin, ON THE NUMERICAL APPROXIMATION OF AN EVOLUTION PROBLEM IN NONLINEAR VISCOELASTICITY, Computer methods in applied mechanics and engineering, 107(1-2), 1993, pp. 101-116
Citations number
17
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Computer Applications & Cybernetics","Engineering, Mechanical
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
107
Issue
1-2
Year of publication
1993
Pages
101 - 116
Database
ISI
SICI code
0045-7825(1993)107:1-2<101:OTNAOA>2.0.ZU;2-S
Abstract
An error analysis is furnished for the spatial approximation via the f inite element method of certain nonlinear time-dependent problems eman ating in the theory of viscoelastic solids. Numerical examples are giv en, first for a model equation, and then for numerical equilibrium sol utions in cases of a nonconvex 'double-well' potential and a convex po tential, the latter derived from the nonconvex one via 'relaxation' by an 'equal area' construction.