Geodesic
A NONLINEAR EVOLUTION INCLUSION IN PERFECT PLASTICITY WITH FRICTION
Acta mathematica Universitatis Comenianae, Tome 70 (2001) no. 2 
A. Amassad; M. Shillor; M. Sofonea. A NONLINEAR EVOLUTION INCLUSION IN  PERFECT PLASTICITY WITH FRICTION. Acta mathematica Universitatis Comenianae, Tome 70 (2001) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2001_70_2_a6/
@article{AMUC_2001_70_2_a6,
     author = {A. Amassad and M. Shillor and M. Sofonea},
     title = {A {NONLINEAR} {EVOLUTION} {INCLUSION} {IN}  {PERFECT} {PLASTICITY} {WITH} {FRICTION}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2001},
     volume = {70},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2001_70_2_a6/}
}
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AU  - M. Sofonea
TI  - A NONLINEAR EVOLUTION INCLUSION IN  PERFECT PLASTICITY WITH FRICTION
JO  - Acta mathematica Universitatis Comenianae
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ID  - AMUC_2001_70_2_a6
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%J Acta mathematica Universitatis Comenianae
%D 2001
%V 70
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%U http://geodesic.mathdoc.fr/item/AMUC_2001_70_2_a6/
%F AMUC_2001_70_2_a6

Voir la notice de l'article provenant de la source Comenius University

We consider a nonlinear evolution inclusion associated with a time dependent convex set in a Hilbert space. We prove an existence and uniqueness result for the problem using classical results from the theory of evolution equations involving maximal monotone operators, a fixed point argument and a regularization method. We apply this result to a model for the quasistatic evolution process of a perfectly plastic body which is in frictional contact with a rigid foundation and obtain the existence of the unique stress field.