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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.
Högskolan i Jönköping, Tekniska Högskolan, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering.
2004 (engelsk)Inngår i: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 193, nr 33-35, 3523-3540 s.Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2004. Vol. 193, nr 33-35, 3523-3540 s.
Emneord [en]
Discontinuities, Finite element method, Solid mechanics, Approximation theory, Crack propagation, Elasticity, Modification, Numerical analysis, Problem solving, Convergence, Elasticity problems, Computer aided analysis
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Identifikatorer
URN: urn:nbn:se:hj:diva-15781DOI: 10.1016/j.cma.2003.12.041OAI: oai:DiVA.org:hj-15781DiVA: diva2:434214
Tilgjengelig fra: 2011-08-12 Laget: 2011-08-12 Sist oppdatert: 2017-12-08bibliografisk kontrollert

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