Discretization and numerical realization of contact problems for elastic-perfectly plastic bodies. PART I – discretization, limit analysis

0399404 - ÚGN 2016 RIV DE eng J - Článek v odborném periodiku
Sysala, Stanislav - Haslinger, Jaroslav - Hlaváček, Ivan - Čermák, Martin
Discretization and numerical realization of contact problems for elastic-perfectly plastic bodies. PART I – discretization, limit analysis.
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. Roč. 95, č. 4 (2015), s. 333-353. ISSN 0044-2267. E-ISSN 1521-4001
Grant CEP: GA MŠMT ED1.1.00/02.0070; GA ČR GA13-18652S
Grant ostatní: GA ČR(CZ) P201/12/0671
Institucionální podpora: RVO:68145535 ; RVO:67985840
Klíčová slova: frictionless contact * elasto-perfect plasticity * limit analysis
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.293, rok: 2015
http://onlinelibrary.wiley.com/doi/10.1002/zamm.201300112/pdf

The paper deals with a static case of discretized contact problems for bodies made of materials obeying Hencky’s law of perfect plasticity. The main interest is focused on the analysis of the formulation in terms of displacements. This covers the study of: i) a structure of the solution set in the case when the problem has more than one solution ii) the dependence of the solution set on the loading parameter ζ. The latter is used to give a rigorous justification of the limit load approach based on work of external forces as a function of ζ. A model example illustrates the efficiency of the method.
Trvalý link: http://hdl.handle.net/11104/0226763