Computable majorants of the limit load in Hencky´s plasticity problems

0495389 - ÚGN 2019 RIV GB eng J - Journal Article
Repin, S. - Sysala, Stanislav - Haslinger, Jaroslav
Computable majorants of the limit load in Hencky´s plasticity problems.
Computers & Mathematics With Applications. Roč. 75, č. 1 (2018), s. 199-217. ISSN 0898-1221. E-ISSN 1873-7668
R&D Projects: GA MŠMT LQ1602
Institutional support: RVO:68145535
Keywords : Hencky’s plasticity * limit load * computable bounds * divergence free fields * penalization
OECD category: Applied mathematics
Impact factor: 2.811, year: 2018
https://www.sciencedirect.com/science/article/pii/S0898122117305552

We propose a new method for analyzing the limit (safe) load of elastoplastic media governed by the Hencky plasticity law and deduce fully computable bounds of this load. The main idea of the method is based on a combination of kinematic approach and new estimates of the distance to the set of divergence free fields. We show that two sided bounds of the limit load are sharp and the computational efficiency of the method is confirmed by numerical experiments.
Permanent Link: http://hdl.handle.net/11104/0288377