Discontinuous Galerkin (DG) method in 3D linear elasticity with application in problems with locking

Discontinuous Galerkin (DG) method in 3D linear elasticity with application in problems with locking In the present work, a three‐dimensional discontinuous Galerkin (DG) formulation is presented and investigated for linear elastic problems, with special emphasis on locking phenomena. Among different variations of DG methods, the incomplete interior penalty Galerkin (IIPG) method is applied here, where the symmetry term is absent and the approach is stable through the application of a penalty term. Different examples are calculated to investigate the locking behavior of the DG method compared to continuous Galerkin (CG) method. Additionally, A locking‐free 3D element formulation based on reduced integration and hourglass stabilization (Q1SP) is applied to compare and evaluate the results of the DG formulation in both shear and volumetric locking‐dominated problems. Due to the discontinuity of the DG elements, a new meshing approach is applied in the finite element analysis program FEAP. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings in Applied Mathematics & Mechanics Wiley

Discontinuous Galerkin (DG) method in 3D linear elasticity with application in problems with locking

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Publisher
Wiley Subscription Services, Inc., A Wiley Company
Copyright
Copyright © 2017 Wiley Subscription Services
ISSN
1617-7061
eISSN
1617-7061
D.O.I.
10.1002/pamm.201710006
Publisher site
See Article on Publisher Site

Abstract

In the present work, a three‐dimensional discontinuous Galerkin (DG) formulation is presented and investigated for linear elastic problems, with special emphasis on locking phenomena. Among different variations of DG methods, the incomplete interior penalty Galerkin (IIPG) method is applied here, where the symmetry term is absent and the approach is stable through the application of a penalty term. Different examples are calculated to investigate the locking behavior of the DG method compared to continuous Galerkin (CG) method. Additionally, A locking‐free 3D element formulation based on reduced integration and hourglass stabilization (Q1SP) is applied to compare and evaluate the results of the DG formulation in both shear and volumetric locking‐dominated problems. Due to the discontinuity of the DG elements, a new meshing approach is applied in the finite element analysis program FEAP. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Journal

Proceedings in Applied Mathematics & MechanicsWiley

Published: Jan 1, 2017

References

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