0518792 - ÚGN 2020 RIV ES eng C - Konferenční příspěvek (zahraniční konf.)
Sysala, Stanislav - Haslinger, Jaroslav - Repin, S.
Limit analysis and inf-sup conditions on convex cones.
COMPLAS 2019 - XV International Conference on Computational Plasticity. Fundamentals and Applications. Cornellà de Llobregat: International Centre for Numerical Methods in Engineering (CIMNE), 2019 - (Oñate, E.; Chiumenti, M.; Owen, R.; Peric, D.; de Souza Neto, E.), s. 133-144. ISBN 978-84-949194-7-3.
[COMPLAS 2019 - International Conference on Computational Plasticity. Fundamentals and Applications /XV./. Barcelona (ES), 03.09.2019-05.09.2019]
Grant CEP: GA ČR(CZ) GA19-11441S
Institucionální podpora: RVO:68145535
Klíčová slova: perfect plasticity * limit analysis * conic optimization
Obor OECD: Applied mathematics
Web výsledku:
https://congress.cimne.com/complas2019/frontal/Doc/EbookCOMPLAS2019.pdf

This paper is focused on analysis and reliable computations of limit loads in perfect plasticity. We recapitulate our recent results arising from a continuous setting of the so-called limit analysis problem. This problem is interpreted as a convex optimization subject to conic constraints. A related inf-sup condition on a convex cone is introduced and its importance for theoretical and numerical purposes is explained. Further, we introduce a penalization method for solving the kinematic limit analysis problem. The penalized problem may be solved by standard finite elements due to available convergence analysis using a simple local mesh adaptivity. This solution concept improves the simplest incremental method of limit analysis based on a load parametrization of an elastic-perfectly plastic problem.
Trvalý link: http://hdl.handle.net/11104/0303850