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Subdifferential-based implicit return-mapping operators in Mohr-Coulomb plasticity
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SYSNO ASEP 0482472 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Subdifferential-based implicit return-mapping operators in Mohr-Coulomb plasticity Author(s) Sysala, Stanislav (UGN-S) RID, ORCID
Čermák, M. (CZ)
Ligurský, Tomáš (UGN-S)Number of authors 3 Source Title ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. - : Wiley - ISSN 0044-2267
Roč. 97, č. 12 (2017), s. 1502-1523Number of pages 22 s. Publication form Online - E Language eng - English Country DE - Germany Keywords consistent tangent operator ; implicit return-mapping scheme ; incremental limit analysis ; infinitesimal plasticity ; Mohr-Coulomb yield surface Subject RIV BA - General Mathematics OECD category Applied mathematics R&D Projects LQ1602 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Institutional support UGN-S - RVO:68145535 UT WOS 000416847100001 EID SCOPUS 85022017905 DOI https://doi.org/10.1002/zamm.201600215 Annotation 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. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2018 Electronic address http://onlinelibrary.wiley.com/doi/10.1002/zamm.201600215/full
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