The mathematical formulation and numerical simulation of an elastic-plastic material with uncertain parameters in the small strain case is considered. Traditional computational approaches to this problem usually use some form of perturbation or Monte Carlo technique. This is contrasted here with more recent methods based on stochastic Galerkin approximations. In addition, we introduce the characterisation of the variational structure behind the discrete equations defining the closest-point projection approximation in stochastic elastoplasticity.
|Title of host publication||Recent Developments and Innovative Applications in Computational Mechanics|
|Editors||Dana Mueller-Hoeppe, Stefan Loehnert, Stefanie Reese|
|Place of Publication||Berlin, Heidelberg|
|Number of pages||8|
|Publication status||Published - 1 Dec 2011|