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Reliable computation and local mesh adaptivity in limit analysis
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SYSNO ASEP 0504441 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Reliable computation and local mesh adaptivity in limit analysis Author(s) Sysala, Stanislav (UGN-S) RID, ORCID
Haslinger, Jaroslav (UGN-S)
Repin, S. (RU)Number of authors 3 Source Title Programs and Algorithms of Numerical Mathematics, Proceedings of Seminar (PANM), 19. - Hejnice : Institute of Mathematics, Czech Academy of Sciences, 2019 / Chleboun J. ; Kůs P. ; Přikryl P. ; Rozložník M. ; Segeth K. ; Šístek J. ; Vejchodský T. - ISBN 978-80-85823-69-1 Pages s. 149-158 Number of pages 11 s. Publication form Online - E Action Programs and Algorithms of Numerical Mathematics /19./ Event date 24.06.2018 - 29.06.2018 VEvent location Hejnice Country CZ - Czech Republic Event type EUR Language eng - English Country CZ - Czech Republic Keywords limit analysis ; von Mises yield criterion ; penalization ; finite element method ; Newton-like method ; local mesh adaptivity 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 000576737400016 DOI 10.21136/panm.2018.16 Annotation The contribution is devoted to computations of the limit load for a perfectly plastic model with the von Mises yield criterion. The limit factor of a prescribed load is defined by a specific variational problem, the so-called limit analysis problem. This problem is solved in terms of deformation fields by a penalization, the finite element and the semismooth Newton methods. From the numerical solution, we derive a guaranteed upper bound of the limit factor. To achieve more accurate results, a local mesh adaptivity is used. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2020 Electronic address https://dml.cz/bitstream/handle/10338.dmlcz/703077/PANM_19-2018-1_19.pdf
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