The talk on First-Order System Finite Element Methods and Applications in Solid Mechanics, by Gerhard Starke (Leibniz Universität Hannover), is held on Monday March 18, 2013 at 8:30 in room K4.
Mathematical models in solid mechanics are often treated numerically based on variational principles involving displacements as process variables. In many circumstances accurate stress approximations are similarly of interest which is why formulations based on first-order systems involving stress and displacement receive more and more attention. We provide a short overview of different approaches and focus on first-order system least squares methods developed in recent years. The basic ideas and main properties of this approach are explained for linear elasticity computations. The main part of the talk, however, will focus on the extension to nonlinear problems of solid mechanics such as contact problems, plasticity and hyperelastic material models.