ON FRICTIONLESS CONTACT BETWEEN 2 ELASTIC-VISCOPLASTIC BODIES

Citation
M. Rochdi et M. Sofonea, ON FRICTIONLESS CONTACT BETWEEN 2 ELASTIC-VISCOPLASTIC BODIES, Quarterly Journal of Mechanics and Applied Mathematics, 50, 1997, pp. 481-496
Citations number
11
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Mechanics,Mathematics
ISSN journal
00335614
Volume
50
Year of publication
1997
Part
3
Pages
481 - 496
Database
ISI
SICI code
0033-5614(1997)50:<481:OFCB2E>2.0.ZU;2-1
Abstract
A quasistatic contact problem between two elastic-viscoplastic bodies involving frictionless boundary conditions is considered. Two variatio nal formulations of this problem are proposed, followed by existence a nd uniqueness results. An equivalence result between the previous vari ational formulations, the continuous dependence of the solution with r espect to the data as well as a convergence result with respect to a v iscosity parameter are also obtained.