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Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
Chalmers University of Technology.
2002 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 191, no 17-18, p. 1895-1908Article in journal (Refereed) Published
Abstract [en]

We propose and analyze a discontinuous finite element method for nearly incompressible linear elasticity on triangular meshes. We show optimal error estimates that are uniform with respect to Poisson's ratio. The method is thus locking free. We also introduce an equivalent mixed formulation, allowing for completely incompressible elasticity problems. Numerical results are presented.

Place, publisher, year, edition, pages
2002. Vol. 191, no 17-18, p. 1895-1908
Keywords [en]
incompressible elasticity, discontinuous Galerkin, volumetric locking
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15849DOI: 10.1016/S0045-7825(01)00358-9ISI: 000174316200006OAI: oai:DiVA.org:hj-15849DiVA, id: diva2:440292
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2017-12-08Bibliographically approved

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Hansbo, Peter

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