A QUASI-STATIC CONTACT PROBLEM FOR AN ELASTOPLASTIC ROD

Authors
SHILLOR M SOFONEA M
Citation
M. Shillor et M. Sofonea, A QUASI-STATIC CONTACT PROBLEM FOR AN ELASTOPLASTIC ROD, Journal of mathematical analysis and applications, 217(2), 1998, pp. 579-596
Citations number
21
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
217
Issue
2
Year of publication
1998
Pages
579 - 596
Database
ISI
SICI code
0022-247X(1998)217:2<579:AQCPFA>2.0.ZU;2-U
Abstract
We consider a mathematical model which describes the quasistatic conta ct of an elastoplastic rod with an obstacle. It is based on the Prandt l-Reuss now law and unilateral conditions imposed on the velocity. Two weak formulations are presented and existence and uniqueness results established. The proofs are based on approximate problems with viscous regularization, which have merit on their own and may be used as the basis for convergent numerical algorithms for the problem. (C) 1998 Ac ademic Press.