Discretization and numerical realization of contact problems for elasto-perfectly plastic bodies. PART II: numerical realization, limit analysis

• ID: 2705, RIV: 10314940
• ISSN: 0044-2267, ISBN: not specified
• source: ZAMM Zeitschrift für Angewandte Mathematik und Mechanik
• keywords: frictionless contact; elastic-perfect plasticity; limit load analysis; semi-smooth Newton methods; alternating direction methods of multipliers.
• authors: Martin Čermák, Jaroslav Haslinger, Tomáš Kozubek, Stanislav Sysala
• authors from KNM: Haslinger Jaroslav

Abstract

The paper deals with numerical realization of discretized frictionless static contact problems for elastic-perfectly plastic materials and the computational limit analysis. Two methods are analyzed: the semi-smooth Newton method with damping and the alternating direction method of Lagrange multipliers. These methods are used for tracking the loading path to determine the discrete loading parameter and for solving elastic-perfectly plastic problems.