Number of the records: 1
Subdifferential-based implicit return-mapping operators in computational plasticity
- 1.
SYSNO ASEP 0465667 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Subdifferential-based implicit return-mapping operators in computational plasticity Author(s) Sysala, Stanislav (UGN-S) RID, ORCID
Čermák, Martin (UGN-S)
Koudelka, T. (CZ)
Kruis, J. (CZ)
Zeman, J. (CZ)
Blaheta, Radim (UGN-S) RID, SAI, ORCIDNumber of authors 6 Source Title ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. - : Wiley - ISSN 0044-2267
Roč. 96, č. 11 (2016), s. 1318-1338Number of pages 21 s. Publication form Online - E Language eng - English Country DE - Germany Keywords elastoplasticity ; nonsmooth yield surface ; multivalued flow direction ; implicit return-mapping scheme ; semismooth Newton method ; limit analysis Subject RIV BA - General Mathematics R&D Projects LQ1602 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GA13-18652S GA ČR - Czech Science Foundation (CSF) Institutional support UGN-S - RVO:68145535 UT WOS 000387359600005 EID SCOPUS 84977510858 DOI 10.1002/zamm.201500305 Annotation In this paper we explore a numerical solution to elastoplastic constitutive initial value problems. An improved form of the implicit return-mapping scheme for nonsmooth yield surfaces is proposed that systematically builds upon a subdifferential formulation of the flow rule. The main advantage of this approach is that the treatment of singular points – apices or edges at which the flow direction is multivalued – only involves a uniquely defined set of non-linear equations, similarly to smooth yield surfaces. This paper focuses on isotropic models containing: a) yield surfaces with one or two apices (singular points) on the hydrostatic axis, b) plastic pseudo-potentials that are independent of the Lode angle, and c) possibly nonlinear isotropic hardening. We show that for some models the improved integration scheme also enables us to a priori decide about a type of the return and to investigate the existence, uniqueness, and semismoothness of discretized constitutive operators. The semismooth Newton method is also introduced for solving the incremental boundary-value problems. The paper contains numerical examples related to slope stability with publicly available Matlab implementations. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2017 Electronic address http://onlinelibrary.wiley.com/doi/10.1002/zamm.201500305/full
Number of the records: 1