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The nonconforming linear strain tetrahedron for a large deformation elasticity problem
Jönköping University, School of Engineering, JTH, Product Development. Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.ORCID iD: 0000-0001-7352-1550
Department of Applied Mechanics, Chalmers University of Technology, Göteborg, Sweden.
2016 (English)In: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 58, no 6, 929-935 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we investigate the performance of the nonconforming linear strain tetrahedron element introduced by Hansbo (Comput Methods Appl Mech Eng 200(9–12):1311–1316, 2011; J Numer Methods Eng 91(10):1105–1114, 2012). This approximation uses midpoints of edges on tetrahedra in three dimensions with either point continuity or mean continuity along edges of the tetrahedra. Since it contains (rotated) bilinear terms it performs substantially better than the standard constant strain element in bending. It also allows for under-integration in the form of one point Gauss integration of volumetric terms in near incompressible situations. We combine under-integration of the volumetric terms with houglass stabilization for the isochoric terms.

Place, publisher, year, edition, pages
Springer, 2016. Vol. 58, no 6, 929-935 p.
Keyword [en]
Nonconforming method, Nonlinear elasticity, Tetrahedral element, Computational mechanics, Elasticity, Integration, Deformation elasticity, Gauss integrations, Near-incompressible, Non-conforming methods, Tetrahedral elements, Tetrahedron elements, Three dimensions, Geometry
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-31562DOI: 10.1007/s00466-016-1323-xScopusID: 2-s2.0-84982142903OAI: oai:DiVA.org:hj-31562DiVA: diva2:956041
Available from: 2016-08-29 Created: 2016-08-29 Last updated: 2016-11-17Bibliographically approved

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