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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Gianni DalMaso
SISSA
Title: Generalised functions of bounded deformation

Abstract: We introduce the space GBD of generalized functions of bounded deformation and study the structure properties of these functions: the rectifiability and the slicing properties of their jump sets, and the existence of their approximate symmetric gradients. We conclude by proving a compactness results for GBD, which leads to a compactness result for the space GSBD of generalized special functions of bounded deformation. The latter is connected to the existence of solutions to a weak formulation of some variational problems arising in fracture mechanics in the framework of linearized elasticity.

Recording: http://mm.math.cmu.edu/recordings/cna/CNA-GianniDalMaso-May-08-2012.avi
Recording: http://mm.math.cmu.edu/recordings/cna/CNA-GianniDalMaso-May-08-2012.mp4
Date: Tuesday, May 8, 2012
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer