Název:
Reliable computation and local mesh adaptivity in limit analysis
Autoři:
Sysala, Stanislav ; Haslinger, Jaroslav ; Repin, S. Typ dokumentu: Příspěvky z konference Konference/Akce: Programs and Algorithms of Numerical Mathematics /19./, Hejnice (CZ), 20180624
Rok:
2019
Jazyk:
eng
Abstrakt: 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.
Klíčová slova:
finite element method; limit analysis; local mesh adaptivity; Newton-like method; penalization; von Mises yield criterion Číslo projektu: LQ1602 (CEP) Poskytovatel projektu: GA MŠk Zdrojový dokument: Programs and Algorithms of Numerical Mathematics, Proceedings of Seminar (PANM), ISBN 978-80-85823-69-1