Počet záznamů: 1
Subdifferential-based implicit return-mapping operators in Mohr-Coulomb plasticity
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SYSNO ASEP 0482472 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 Mohr-Coulomb plasticity Tvůrce(i) Sysala, Stanislav (UGN-S) RID, ORCID
Čermák, M. (CZ)
Ligurský, Tomáš (UGN-S)Celkový počet autorů 3 Zdroj.dok. ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. - : Wiley - ISSN 0044-2267
Roč. 97, č. 12 (2017), s. 1502-1523Poč.str. 22 s. Forma vydání Online - E Jazyk dok. eng - angličtina Země vyd. DE - Německo Klíč. slova consistent tangent operator ; implicit return-mapping scheme ; incremental limit analysis ; infinitesimal plasticity ; Mohr-Coulomb yield surface Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics CEP LQ1602 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy Institucionální podpora UGN-S - RVO:68145535 UT WOS 000416847100001 EID SCOPUS 85022017905 DOI https://doi.org/10.1002/zamm.201600215 Anotace The paper is devoted to constitutive solution, limit load analysis and Newton-like methods in elastoplastic problems containing the Mohr-Coulomb yield criterion. Within the constitutive problem, we introduce a self-contained derivation of the implicit return-mapping solution scheme using a recent subdifferential-based treatment. Unlike conventional techniques based on Koiter's rules, the presented scheme a priori detects a position of the unknown stress tensor on the yield surface even if the constitutive solution cannot be found in a closed form. This eliminates blind guesswork from the scheme and enables to analyze properties of the constitutive operator. It also simplifies the construction of the consistent tangent operator, which is important for the semismooth Newton method when applied to the incremental boundary-value elastoplastic problem. The incremental problem in Mohr-Coulomb plasticity is combined with limit load analysis. Beside a conventional direct method of incremental limit analysis, a recent indirect one is introduced and its advantages are described. The paper contains 2D and 3D numerical experiments on slope stability with publicly available Matlab implementations. Pracoviště Ústav geoniky Kontakt Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Rok sběru 2018 Elektronická adresa http://onlinelibrary.wiley.com/doi/10.1002/zamm.201600215/full
Počet záznamů: 1