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

0452245 - ÚGN 2016 RIV DE eng J - Journal Article
Čermák, M. - Haslinger, Jaroslav - Kozubek, T. - Sysala, Stanislav
Discretization and numerical realization of contact problems for elastic-perfectly plastic bodies. PART II - numerical realization, limit analysis.
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. Roč. 95, č. 12 (2015), s. 1348-1371. ISSN 0044-2267. E-ISSN 1521-4001
R&D Projects: GA ČR GA13-18652S
Institutional support: RVO:68145535
Keywords : frictionless contact * alternating direction method of multipliers * limit load analysis * elastic-perfect analplasticity
Subject RIV: BA - General Mathematics
Impact factor: 1.293, year: 2015
http://onlinelibrary.wiley.com/doi/10.1002/zamm.201400069/epdf

he paper deals with numerical realization of discretized, frictionless static contact problems for elastic-perfectly plastic materials and the computational limit analysis. Two numerical methods based on the variational formulation in terms of stresses are analyzed: the semi-smooth Newton method with damping and the alternating direction method of multipliers. These methods are used for tracking the loadings path to determine the discretized limit loading parameter and for solving elastic-perfectly plastic problems.
Permanent Link: http://hdl.handle.net/11104/0253281