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An efficient finite element formulation based on the strong discontinuity approach for the modeling of material failure
Author(s) -
Mosler J.,
Bruhns O. T.
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410158
Subject(s) - discontinuity (linguistics) , finite element method , jump , orthogonality , extended finite element method , element (criminal law) , displacement field , condensation , mixed finite element method , displacement (psychology) , plasticity , mathematics , mathematical analysis , geometry , structural engineering , physics , engineering , psychology , quantum mechanics , political science , law , psychotherapist , thermodynamics
A new finite element formulation based on the strong discontinuity approach is proposed. Following [1], localized inelastic deformations are represented as surfaces of discontinuous displacements within the respective finite element by applying the Enhanced Assumed Strain (EAS) concept. However, and in contrast to previous publications, the jump part of the displacement field is not condensed out at the element level by employing static condensation. Instead, the L 2 ‐orthogonality condition is reformulated resulting in an equation which is formally identical to the necessary condition of yielding known from standard plasticity theory. Hence, it is possible to apply the return‐mapping algorithm to the numerical implementation. Only slight modifications of this by now classical algorithm are necessary. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)