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An RP-adaptive finite element discretization applied to physically non-linear problems

  • Technical University of Munich

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This article proposes an efficient discretization strategy for physically non-linear problems. It combines a high order finite element formulation which increases the polynomial degree of the shape functions on a coarse mesh with the r-method moving nodes and edges of an existing FE-mesh. The basic idea of the rp-version is to iteratively adapt the finite element mesh to the shape of the elastic-plastic interface in order to take into account the loss of regularity which arises along the boundary of the plastic zone. This discretization technique leads to an exponential rate of convergence.

Original languageEnglish
Title of host publicationComputational Plasticity
Subtitle of host publicationFundamentals and Applications - Proceedings of the 8th International Conference on Computational Plasticity, COMPLAS VIII
Pages1095-1098
Number of pages4
EditionPART 2
StatePublished - 2005
Event8th International Conference on Computational Plasticity: Fundamentals and Applications, COMPLAS VIII - Barcelona, Spain
Duration: 5 Sep 20057 Sep 2005

Publication series

NameComputational Plasticity: Fundamentals and Applications - Proceedings of the 8th International Conference on Computational Plasticity, COMPLAS VIII
NumberPART 2

Conference

Conference8th International Conference on Computational Plasticity: Fundamentals and Applications, COMPLAS VIII
Country/TerritorySpain
CityBarcelona
Period5/09/057/09/05

Keywords

  • Adaptivity
  • Deformation theory of plasticity
  • p-version
  • r-version

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