Reliable computation and local mesh adaptivity in limit analysis

0504441 - ÚGN 2020 RIV CZ eng C - Conference Paper (international conference)
Sysala, Stanislav - Haslinger, Jaroslav - Repin, S.
Reliable computation and local mesh adaptivity in limit analysis.
Programs and Algorithms of Numerical Mathematics, Proceedings of Seminar (PANM). Vol. 19. Hejnice: Institute of Mathematics, Czech Academy of Sciences, 2019 - (Chleboun, J.; Kůs, P.; Přikryl, P.; Rozložník, M.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 149-158. ISBN 978-80-85823-69-1.
[Programs and Algorithms of Numerical Mathematics /19./. Hejnice (CZ), 24.06.2018-29.06.2018]
R&D Projects: GA MŠMT LQ1602
Institutional support: RVO:68145535
Keywords : limit analysis * von Mises yield criterion * penalization * finite element method * Newton-like method * local mesh adaptivity
OECD category: Applied mathematics
https://dml.cz/bitstream/handle/10338.dmlcz/703077/PANM_19-2018-1_19.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0296074