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Article

Sysala, Stanislav ; Čermák, Martin
Implicit constitutive solution scheme for Mohr-Coulomb plasticity. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016. Institute of Mathematics CAS, Prague, 2017. pp. 120-129
MSC: 34L10, 74C05, 74D10, 74L10, 90C25 | DOI: 10.21136/panm.2016.15
Keywords:
Mohr-Coulomb plasticity; implicit constitutive solution scheme; consistent tangent operator
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.
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