Past OxMOS Workshop/Meeting/Lecture

7 March 2007
Guest speaker Antonio Orlando
The modelling of the elastoplastic behaviour of single crystals with infinite latent hardening leads to a nonconvex energy density, whose minimization produces fine structures. The computation of the quasiconvex envelope of the energy density involves the solution of a global nonconvex optimization problem. Previous work based on a brute-force global optimization algorithm faced huge numerical difficulties due to the presence of clusters of local minima around the global one. We present a different approach which exploits the structure of the problem both to achieve a fundamental understanding on the optimal microstructure and, in parallel, to design an efficient numerical relaxation scheme. This work has been carried out jointly with Carsten Carstensen (Humboldt-Universitaet zu Berlin) and Sergio Conti (Universitaet Duisburg-Essen)
  • OxMOS Workshop/Meeting/Lecture