Implicit constitutive solution scheme for Mohr-Coulomb plasticity

0482482 - ÚGN 2018 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Sysala, Stanislav - Čermák, M.
Implicit constitutive solution scheme for Mohr-Coulomb plasticity.
Programs and algorithms of numerical mathematics 18. Prague: Institute of Mathematics CAS, 2017 - (Chleboun, J.; Kůs, P.; Přikryl, P.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 120-130. ISBN 978-80-85823-67-7.
[Programs and Algorithms of Numerical Mathematics /18./. Janov nad Nisou (CZ), 19.06.2016-24.06.2016]
Grant CEP: GA MŠMT LQ1602
Institucionální podpora: RVO:68145535
Klíčová slova: Mohr-Coulomb plasticity * implicit constitutive solution scheme * consistent tangent operator
Obor OECD: Applied mathematics
http://panm18.math.cas.cz/PANM18_proceedings.pdf

This contribution summarizes an implicit constitutive solution
scheme of the elastoplastic problem containing the Mohr-Coulomb yield cri-
terion, a nonassociative
ow rule, and a nonlinear isotropic hardening. The
presented scheme builds upon the subdifferential formulation of the
ow 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 simplifed construction of the consistent tangent opera-
tor is introduced. The presented results are important for an efficient solution
of incremental boundary value elastoplastic problems.
Trvalý link: http://hdl.handle.net/11104/0277915