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Time finite elements and error computation for (visco)plasticity with hardening or softening
Chalmers University of Technology.
Chalmers University of Technology.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2003 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 56, no 14, 2213-2232 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we investigate the possibility for, and characteristics of, reliable and efficient a posteriori error computation at the integration of the constitutive relations pertinent to (visco)plasticity with softening/hardening. The variational structure admits the use of finite elements in time, which are based on the Discontinuous Galerkin method. An important feature is the possibility to select 'goal-oriented' error measures with great freedom. A key task is to identify and solve an auxiliary problem, that is the dual of the actual (primal) problem. Different strategies for computing the dual solution accurately, yet avoiding excessive cost, are investigated in the paper. In particular, we consider the characteristics at the limit of rate-independent plasticity.

Place, publisher, year, edition, pages
2003. Vol. 56, no 14, 2213-2232 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15842DOI: 10.1002/nme.661ISI: 000182126400012OAI: oai:DiVA.org:hj-15842DiVA: diva2:440303
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2012-02-07Bibliographically approved

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Hansbo, Peter
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