Rate-Independence, Homogenization and Multiscaling

seminar: Global existence for rate-independent gradient plasticity

speaker: Alexander Mielke (WIAS, Berlin)

abstract: We use the theory for rate-independent processes to prove existence of global energetic solutions for elastoplastic systems in the case of the multiplicative decomposition of the deformtation tensor in an elastic and a plastic part. We highlight the underlying Lie group structure of the matrices with positive determinant that is used in two ways. First, for the elastic-plastic decomposition and, second, for making the time-dependent Dirichlet boundary constant in time. We use plyoconvex materials and and a priori bounds of the Kirchhoff stress tensor in terms of the energy. Gradients of the internal variables are used to obtain the necessary compactness in space.

timetable:
Sat 17 Nov, 16:00 - 16:45, Sala Conferenze Centro De Giorgi
documents:

mielke07Pisa_handout.pdf

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