FINITE-ELEMENT APPROXIMATION OF AN EVOLUTION PROBLEM MODELING SHEAR-BAND FORMATION

Authors
FRENCH DA GARCIA SMF
Citation
Da. French et Smf. Garcia, FINITE-ELEMENT APPROXIMATION OF AN EVOLUTION PROBLEM MODELING SHEAR-BAND FORMATION, Computer methods in applied mechanics and engineering, 118(1-2), 1994, pp. 153-161
Citations number
11
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
118
Issue
1-2
Year of publication
1994
Pages
153 - 161
Database
ISI
SICI code
0045-7825(1994)118:1-2<153:FAOAEP>2.0.ZU;2-#
Abstract
An error analysis is provided for the spatial approximation by the fin ite element method of a nonlinear time-dependent problem which models the antiplane shear deformations of a thermoplastic material. This pro blem consists of a system of two coupled partial differential equation s with velocity and temperature unknowns. Optimal order error estimate s in the L2 norm are given for each of these.