ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. 70, 2 (2001)
pp. 215-228
A NONLINEAR EVOLUTION INCLUSION IN PERFECT PLASTICITY WITH FRICTION
A. Amassad, M. Shillor and M. Sofonea
Abstract.
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.
AMS subject classification.
Primary 35R70 74C05 74M10 74M15
Keywords.
Nonlinear evolution inclusion, existence and uniqueness,
quasistatic frictional contact problem,
perfectly plastic material
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