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

• ID: 2698, RIV: 10314431
• ISSN: 0044-2267, ISBN: neuvedeno
• zdroj: ZAMM Zeitschrift für Angewandte Mathematik und Mechanik
• klíčová slova: frictionless contact; elastic-perfectly plasticity; limit load analysis.
• autoři: Stanislav Sysala, Jaroslav Haslinger, Ivan Hlaváček, Martin Čermák
• autoři z KNM: Haslinger Jaroslav

Abstrakt

The paper deals with a static case of discretized contact problems for bodies made of elastic-perfecetly plastic materials obeying Hencky's law of perfect plasticity. The main interest is focused on the analysis of the formulation in terms of displacements. This includes: i) structure of the solution set in the case when the discrete problem has more than one solution b) the dependence of the solution set on the loading parameter. The latter is used to give a rigorous mathematical justification of the limit load approach based on work of external forces.