DFG FG 797/2: "Analysis and computation of microstructure in finite plasticity" - Participating project P1-1: "Numerical algorithms for the simulation of finite plasticity with microstructures"

The occurrence of microstructures in solid mechanics and, in particular, in finite plasticity can be attributed to a loss of the convexity of the underlying energy potentials. While the material deforms macroscopically, structures in the form of shear bands, cracks or laminates arise on microscopic scales. Common to these examples is that their macroscopic simulation have to be based on the quasiconvexification of the energy functional. The projects within the research group either concern the modelling or the simulation. In contrast, the object of this project is the justification of computer simulations with an analysis of discretisation and design of converging adaptive mesh-refining algorithms. The mathematical justification concerns numerical simulations on the microscopic scale (a), on the macroscopic scale (b), for time-evolving microstructure (c).

Principal Investigators
Carstensen, Carsten Prof. (Details) (Numerical Handling of Differential Equations)

Financer
DFG: Forschergruppen

Duration of Project
Start date: 10/2010
End date: 06/2016

Research Areas
Mathematics

Last updated on 2020-01-06 at 17:44