An Efficient Solution Algorithm for Elastoplasticity and its First Implementation Towards Uniform h- and p- Mesh Refinements

Johanna Kienesberger () and Jan Valdman ()
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Johanna Kienesberger: Johannes Kepler University Linz, Special Research Program SFB F013, ‘Numerical and Symbolic Scientific Computing’
Jan Valdman: Johannes Kepler University Linz, Special Research Program SFB F013, ‘Numerical and Symbolic Scientific Computing’

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 1117-1125 from Springer

Abstract: Abstract The main subject of this paper is the detailed description of an algorithm solving elastoplastic deformations. Our concern is a one time-step problem, for which the minimization of a convex but non-smooth functional is required. We propose a minimization algorithm based on the reduction of the functional to a quadratic functional in the displacement and the plastic strain increment omitting a certain nonlinear dependency. The algorithm also allows for an easy extension to higher order finite elements. A numerical example in 2D reports on first results for uniform h- and p- mesh refinements.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_112

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DOI: 10.1007/978-3-540-34288-5_112

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