Počet záznamů: 1
Subdifferential-based implicit return-mapping operators in computational plasticity
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SYSNO ASEP 0465667 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Subdifferential-based implicit return-mapping operators in computational plasticity Tvůrce(i) 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, ORCIDCelkový počet autorů 6 Zdroj.dok. ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. - : Wiley - ISSN 0044-2267
Roč. 96, č. 11 (2016), s. 1318-1338Poč.str. 21 s. Forma vydání Online - E Jazyk dok. eng - angličtina Země vyd. DE - Německo Klíč. slova elastoplasticity ; nonsmooth yield surface ; multivalued flow direction ; implicit return-mapping scheme ; semismooth Newton method ; limit analysis Vědní obor RIV BA - Obecná matematika CEP LQ1602 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy GA13-18652S GA ČR - Grantová agentura ČR Institucionální podpora UGN-S - RVO:68145535 UT WOS 000387359600005 EID SCOPUS 84977510858 DOI 10.1002/zamm.201500305 Anotace 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. Pracoviště Ústav geoniky Kontakt Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Rok sběru 2017 Elektronická adresa http://onlinelibrary.wiley.com/doi/10.1002/zamm.201500305/full
Počet záznamů: 1