effective simulation
effective elastoplastic evolution
relaxation finite element method (RFEM)
Towards effective simulation of effective elastoplastic evolution
Carsten Carstensen
Carstensen
Carsten
Robert Huth
Huth
Robert
Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 9 pp.
#### Towards effective simulation of effective elastoplastic evolution

Carsten Carstensen
,
Robert Huth

**Preprint series:**
Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 9 pp.

**MSC 2000**

- 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods

**Abstract**

This paper summarises the general strategy for time evolving finite elastoplasticity and outlines encountered computational challenges in form of numerical benchmarks. Each time-step of
some natural implicit time-discretisation is eventually recast into a possibly non-convex minimisation problem.
Finite plasticity seems to imply the lack of lower semicontinuity of the energy functional and so leads to enforced fine strain oscillations called microstructures with required generalised solution concepts.
The adaptive spacial discretisation is possible for convexified
formulations from the relaxation finite element method (RFEM). For single-slip finite plasticity, one requires to
relax numerically with laminates or semiconvexity notions.

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