Implicit constitutive solution scheme for Mohr-Coulomb plasticity

Sysala, Stanislav, and Čermák, Martin. "Implicit constitutive solution scheme for Mohr-Coulomb plasticity." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2017. 120-129. <http://eudml.org/doc/288173>.

@inProceedings{Sysala2017,
abstract = {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.},
author = {Sysala, Stanislav, Čermák, Martin},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {Mohr-Coulomb plasticity; implicit constitutive solution scheme; consistent tangent operator},
location = {Prague},
pages = {120-129},
publisher = {Institute of Mathematics CAS},
title = {Implicit constitutive solution scheme for Mohr-Coulomb plasticity},
url = {http://eudml.org/doc/288173},
year = {2017},
}

TY - CLSWK
AU - Sysala, Stanislav
AU - Čermák, Martin
TI - Implicit constitutive solution scheme for Mohr-Coulomb plasticity
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2017
CY - Prague
PB - Institute of Mathematics CAS
SP - 120
EP - 129
AB - 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.
KW - Mohr-Coulomb plasticity; implicit constitutive solution scheme; consistent tangent operator
UR - http://eudml.org/doc/288173
ER -