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Title: Implicit constitutive solution scheme for Mohr-Coulomb plasticity (English)
Author: Sysala, Stanislav
Author: Čermák, Martin
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016
Issue: 2016
Pages: 120-129
Category: math
Summary: This contribution summarizes an implicit constitutive solution scheme of the elastoplastic problem containing the Mohr-Coulomb yield criterion, a nonassociative flow rule, and a nonlinear isotropic hardening. The presented scheme builds upon the subdifferential formulation of the flow rule leading to several improvements. Mainly, it is possible to detect a position of the unknown stress tensor on the Mohr-Coulomb pyramid without blind guesswork. Further, a simplified construction of the consistent tangent operator is introduced. The presented results are important for an efficient solution of incremental boundary value elastoplastic problems. (English)
Keyword: Mohr-Coulomb plasticity
Keyword: implicit constitutive solution scheme
Keyword: consistent tangent operator
MSC: 34L10
MSC: 74C05
MSC: 74D10
MSC: 74L10
MSC: 90C25
DOI: 10.21136/panm.2016.15
Date available: 2017-06-20T13:04:07Z
Last updated: 2017-07-13
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