Original title: Reliable computation and local mesh adaptivity in limit analysis
Authors: Sysala, Stanislav ; Haslinger, Jaroslav ; Repin, S.
Document type: Papers
Conference/Event: Programs and Algorithms of Numerical Mathematics /19./, Hejnice (CZ), 20180624
Year: 2019
Language: eng
Abstract: 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.
Keywords: finite element method; limit analysis; local mesh adaptivity; Newton-like method; penalization; von Mises yield criterion
Project no.: LQ1602 (CEP)
Funding provider: GA MŠk
Host item entry: Programs and Algorithms of Numerical Mathematics, Proceedings of Seminar (PANM), ISBN 978-80-85823-69-1

Institution: Institute of Geonics AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: https://dml.cz/bitstream/handle/10338.dmlcz/703077/PANM_19-2018-1_19.pdf
Original record: http://hdl.handle.net/11104/0296074

Permalink: http://www.nusl.cz/ntk/nusl-394983


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