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Section 8
An efficient finite element formulation based on the strong discontinuity approach for the modeling of material failure
Article first published online: 1 DEC 2004
DOI: 10.1002/pamm.200410158
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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How to Cite
Mosler, J. and Bruhns, O. T. (2004), An efficient finite element formulation based on the strong discontinuity approach for the modeling of material failure. Proc. Appl. Math. Mech., 4: 354–355. doi: 10.1002/pamm.200410158
Publication History
- Issue published online: 1 DEC 2004
- Article first published online: 1 DEC 2004
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Abstract
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 L2-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)