6533b7dcfe1ef96bd1272b7e
RESEARCH PRODUCT
Computable majorants of the limit load in Hencky’s plasticity problems
Stanislav SysalaSergey RepinSergey RepinJaroslav HaslingerJaroslav Haslingersubject
computable boundsMathematical optimizationpenalizationta111010103 numerical & computational mathematicsKinematicslimit loadPlasticitydivergence free fields01 natural sciences010101 applied mathematicsSet (abstract data type)Computational MathematicsComputational Theory and MathematicsModeling and SimulationApplied mathematicsLimit loadLimit (mathematics)Hencky’s plasticity0101 mathematicsDivergence (statistics)Mathematicsdescription
Abstract 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-01-01 | Computers & Mathematics with Applications |