How to simplyfy return-mapping algorithms in computational plasticity: Part 1 - Main idea

0452275 - ÚGN 2016 RIV ES eng C - Conference Paper (international conference)
Čermák, Martin - Sysala, Stanislav
How to simplyfy return-mapping algorithms in computational plasticity: Part 1 - Main idea.
Computational Plasticity III - Fundamentals and Applications - COMPLAS III. Barcelona: International Center for Numerical Methods in Engineering (CIMNE), 2015 - (Oňate, E.), s. 1-12. ISBN 978-84-944244-6-5.
[International Conference on Computational Plasticity – Fundamentals and Applications /13./. Barcelona (ES), 01.09.2015-03.09.2015]
R&D Projects: GA ČR GA13-18652S
Institutional support: RVO:68145535
Keywords : computational plasticity * nonsmooth yield functions * return-mapping schemes * consistent tangent operators
Subject RIV: IN - Informatics, Computer Science
http://congress.cimne.com/complas2015/frontal/doc/EbookComplas2015.pdf

An improved implicit return-mapping scheme for nonsmooth yield surfaces is suggested in this paper. It is based on a subdierential formulation of the ow rule that does not require special treatment at singular points (apices, edges, etc.). Although the ow direction is multivalued in such a case, it is shown that the suggested scheme leads to solving a unique system of nonlinear equations similarly as for smooth yield surfaces. Improved return-mapping schemes of several elastoplastic models containing nonassociative plastic ow rules and nonlinear isotropic hardening laws are introduced together with the corresponding consistent tangent operators.
Permanent Link: http://hdl.handle.net/11104/0253302