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A discontinuous Galerkin Finite Element Method for linear elasticity using a mixed integration scheme to circumvent shear‐locking
Author(s) -
Steiner Tobias,
Wriggers Peter,
Loehnert Stefan
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610373
Subject(s) - finite element method , discontinuous galerkin method , linear elasticity , elasticity (physics) , mixed finite element method , shear (geology) , galerkin method , mathematics , extended finite element method , mathematical analysis , structural engineering , engineering , materials science , composite material
Shear‐locking is a significant problem when using the Finite Element Method (FEM) with standard lower order Langrangian shape functions. To avoid this effect we introduce the discontinuous Galerkin Finite Element Method (dG‐FEM) for linear elasticity. In addition to a standard integration scheme for the dG‐FEM we develop a mixed integration scheme and compare both with established finite elements using a bending dominated benchmark. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)