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.
@article{703006,
title = {Implicit constitutive solution scheme for Mohr-Coulomb plasticity},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics CAS},
address = {Prague},
year = {2017},
pages = {120-129},
url = {http://dml.mathdoc.fr/item/703006}
}
Sysala, Stanislav; Čermák, Martin. Implicit constitutive solution scheme for Mohr-Coulomb plasticity, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2017), pp. 120-129. http://gdmltest.u-ga.fr/item/703006/