×

Differential inclusions arising in contact problems with elastic-visco-plastic materials. (English) Zbl 1103.35369

Summary: 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 arguments from the theory of evolution equations involving maximal monotone operators and fixed point theory. We apply this result to models of the quasistatic evolution process of frictional or frictionless contact problems with viscoplastic or viscoelastic bodies, respectively.

MSC:

35R70 PDEs with multivalued right-hand sides
74M10 Friction in solid mechanics
74M15 Contact in solid mechanics
PDFBibTeX XMLCite