Limit analysis problem and its penalization

0507362 - ÚGN 2020 RIV ES eng C - Konferenční příspěvek (zahraniční konf.)
Sysala, Stanislav
Limit analysis problem and its penalization.
COMPUTATIONAL PLASTICITY XIV: FUNDAMENTALS AND APPLICATIONS. Barcelona: INT CENTER NUMERICAL METHODS ENGINEERING, 2017 - (Onate, E.; Owen, D.; Peric, D.; Chiumenti, M.), s. 866-875. ISBN 978-84-946909-6-9.
[International Conference on Computational Plasticity - Fundamentals and Applications (COMPLAS) /14./. Barcelona (ES), 05.09.2017-07.09.2017]
Grant CEP: GA MŠMT LQ1602
Institucionální podpora: RVO:68145535
Klíčová slova: perfect plasticity * limit analysis * truncation method * indirect incremental method
Obor OECD: Applied mathematics

The contribution is focused on solution of the kinematic limit analysis problem within associative perfect plasticity. It is a constrained minimization problem describing a collapse state of an investigated body. Two different penalization methods are presented and interpreted as the truncation method and the indirect incremental method, respectively. It is shown that both methods are meaningful even within the continuous setting of the problem. Convergence with respect to penalty and discretization parameters is discussed. The indirect incremental method can be simply implemented within current elastoplastic codes.
Trvalý link: http://hdl.handle.net/11104/0298369