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

0399404 - ÚGN 2016 RIV DE eng J - Journal Article
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
R&D Projects: GA MŠMT ED1.1.00/02.0070; GA ČR GA13-18652S
Grant - others:GA ČR(CZ) P201/12/0671
Institutional support: RVO:68145535 ; RVO:67985840
Keywords : frictionless contact * elasto-perfect plasticity * limit analysis
Subject RIV: BA - General Mathematics
Impact factor: 1.293, year: 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.
Permanent Link: http://hdl.handle.net/11104/0226763