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Section 8
A unified approach for elasto-plastic FEM simulations, incorporating adaptive spatial and time discretization
Article first published online: 1 DEC 2004
DOI: 10.1002/pamm.200410135
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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How to Cite
Eckert, S. and Gross, D. (2004), A unified approach for elasto-plastic FEM simulations, incorporating adaptive spatial and time discretization. Proc. Appl. Math. Mech., 4: 308–309. doi: 10.1002/pamm.200410135
Publication History
- Issue published online: 1 DEC 2004
- Article first published online: 1 DEC 2004
- Abstract
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Abstract
In FEM calculations the discretization should be chosen in a way, that further mesh refinement does not change the results. Otherwise the discretization error might yield unphysically stiff material behavior. If elasto-plasticity is considered, a second type of error due to the time discretization of the evolution equations has to be taken into account. Due to the non-linearity of the underlying initial boundary value problem, large time increments often result in non-converging solutions during equilibrium iteration.
In our approach the time integration error resulting from a second order BDF2 time integration method is calculated and utilized in an automatic step size control. In conjunction with a DAE-treatment of the initial boundary value problem, it allows in the average considerably larger time steps compared to classical ‘elastic predictor – plastic corrector’ schemes. To reduce the discretization error, adaptive mesh-refinement based on a Z2-error-estimator is performed. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)