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Title: Reliable computation and local mesh adaptivity in limit analysis (English)
Author: Sysala, Stanislav
Author: Haslinger, Jaroslav
Author: Repin, Sergey
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Hejnice, June 24-29, 2018
Issue: 2018
Pages: 149-158
Category: math
Summary: 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. (English)
Keyword: limit analysis
Keyword: von Mises yield criterion
Keyword: penalization
Keyword: finite element method
Keyword: Newton-like method
Keyword: local mesh adaptivity
MSC: 49M15
MSC: 74C05
MSC: 74S05
MSC: 90C25
DOI: 10.21136/panm.2018.16
Date available: 2019-04-29T13:38:32Z
Last updated: 2021-05-05
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