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Implicit constitutive solution scheme for Mohr-Coulomb plasticity

Sysala, StanislavČermák, Martin — 2017

Programs and Algorithms of Numerical Mathematics

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...

Parallel strategies for solving the FETI coarse problem in the PERMON toolbox

Vašatová, AlenaTomčala, JiříSojka, RadimPecha, MarekKružík, JakubHorák, DavidHapla, VáclavČermák, Martin — 2017

Programs and Algorithms of Numerical Mathematics

PERMON (Parallel, Efficient, Robust, Modular, Object-oriented, Numerical) is a newly emerging collection of software libraries, uniquely combining Quadratic Programming (QP) algorithms and Domain Decomposition Methods (DDM). Among the main applications are contact problems of mechanics. This paper gives an overview of PERMON and selected ingredients improving scalability, demonstrated by numerical experiments.

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