Reliable computation and local mesh adaptivity in limit analysis
Sysala, S., Haslinger, J., & Repin, S. (2019). Reliable computation and local mesh adaptivity in limit analysis. In J. Chleboun, P. Kus, P. Prikryl, M. Rozlozník, K. Segeth, J. Sístek, & T. Vejchodský (Eds.), PANM 19: Proceedings of 19th conference, Programs and Algorithms of Numerical Mathematics (pp. 149-158). Czech Academy of Sciences. https://doi.org/10.21136/panm.2018.16
Kus, P. |
© Institute of Mathematics CAS, 2019
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.
PublisherCzech Academy of Sciences
Parent publication ISBN978-80-85823-69-1
ConferencePrograms and Algorithms of Numerical Mathematics
Is part of publicationPANM 19: Proceedings of 19th conference, Programs and Algorithms of Numerical Mathematics
Publication in research information system
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