Publication :


Title:

Constitutive relation error estimators for (visco)plastic finite element analysis with softening

Authors: P. Ladevèze, N. Moës and B. Douchin
Year: juillet 1999
Journal: Computer Methods in Applied Mechanics and Engineering.
Volume: 176, Number: 1-4, Pages: 247-264

DOI: 10.1016/S0045-7825(98)00340-5

Abstract:
A posteriori error estimators based on constitutive relation residuals have been developed for 20 years, in particular at Cachan. This approach has a strong physical meaning and is quite general. Here, we introduce an extended constitutive relation error estimators family able to measure the quality of finite element computations of structures which exhibit plastic/viscoplastic behavior with softening. These measures take into account, over the studied time interval, all the classical error sources involved in the computation: the space discretization (the mesh), the time discretization and the iterative technique used to solve the nonlinear discrete problem.

Bibtex citation :
@article{Ladeveze1999,
Author={Ladev\`eze, P. and Mo\"es, N. and Douchin, B.},
Title={Constitutive relation error estimators for (visco)plastic finite element analysis with softening},
Journal={Computer Methods in Applied Mechanics and Engineering},
Month={july},
Volume={176},
Number={1-4},
Pages={247-264},
Year={1999}}


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