seminar: Homogenization in problems of viscoplasticity and Steklov regularization
speaker: Hans-Dieter Alber (Darmstadt University of Technology)abstract: In this talk we discuss the justification of homogenized models for viscoplastic bodies with microstructures. The system of partial differential equations modelling the deformation behavior of viscoplastic bodies at small strains contains high nonlinearities. As a consequence, the solutions jof this system and of the homogenized system are of low regularity: H1-regularity can be expected at best. This low regularity implies that the asymptotic solution constructed from the solution of the homogenized system cannot be defined in the ordinary way. It is necessary to use a regularization procedure in the construction of this asymptotic solution, which is sometimes called Steklov regularization.
In the talk we first introduce the general form of models of viscoplasticity and subsequently discuss this homogenization procedure and the convergence proof.
timetable:
Fri 16 Nov, 10:00 - 10:45, Sala Conferenze Centro De Giorgi
documents:
talk
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