Application of the fully automatic hp-adaptive FEM to elastic-plastic problems

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Application of the fully automatic hp-adaptive FEM to elastic-plastic problems

Marta Oleksy, Witold Cecot

Institute for Computational Civil Engineering,Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków, Poland.

DOI:

https://doi.org/10.7494/cmms.2015.1.0524

Abstract:

The hp-adaptive mesh refinement is a technique that for linear problems proved to deliver a fast, predicted by theory, exponential convergence. We have applied this approach to elastic-plastic problems modeled by associative constitutive law with the Mises yield surface. A modification of the automatic refinements and various types of mesh adaptation were tested. Exponential convergence was observed when the FEM mesh complied with the yielding zone. In general the original automatic hp-mesh refinements led to the fastest convergence even though it was only algebraic, what is theoretically justified for elastic-plastic problems.

Cite as:

Oleksy, M., & Cecot, W. (2015). Application of the fully automatic hp-adaptive FEM to elastic-plastic problems. Computer Methods in Materials Science, 15(1), 204-212. https://doi.org/10.7494/cmms.2015.1.0524

Article (PDF):

Keywords:

Fully automatic hp-adaptivity, Elastic-plastic problem, Exponential convergence

Publication dates:

Received: 20.11.2014, accepted: 27.11.2014, published: 28.12.2014

Publication type:

Original scientific paper

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