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A finite element method for the simulation of strong and weak discontinuities in solid mechanics
Department of Informatics and Mathematics, University of Trollhättan Uddevalla.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2004 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 193, no 33-35, 3523-3540 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we introduce and analyze a finite element method for elasticity problems with interfaces. The method allows for discontinuities, internal to the elements, in the approximation across the interface. We propose a general approach that can handle both perfectly and imperfectly bonded interfaces without modifications of the code. For the case of linear elasticity, we show that optimal order of convergence holds without restrictions on the location of the interface relative to the mesh. We present numerical examples for the linear case as well as for contact and crack propagation model problems.

Place, publisher, year, edition, pages
2004. Vol. 193, no 33-35, 3523-3540 p.
Keyword [en]
Discontinuities, Finite element method, Solid mechanics, Approximation theory, Crack propagation, Elasticity, Modification, Numerical analysis, Problem solving, Convergence, Elasticity problems, Computer aided analysis
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15781DOI: 10.1016/j.cma.2003.12.041OAI: oai:DiVA.org:hj-15781DiVA: diva2:434214
Available from: 2011-08-12 Created: 2011-08-12 Last updated: 2012-02-07Bibliographically approved

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Hansbo, AnitaHansbo, Peter
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