Discretization and numerical realization of contact problems for elastic‐perfectly plastic bodies. PART II – numerical realization, limit analysis. Issue 12 (21st January 2015)

• Record Type: Journal Article
• Authors: Cermak, M.; Haslinger, J.; Kozubek, T.; Sysala, S.
• Is Part Of: Zeitschrift für angewandte Mathematik und Mechanik. Volume 95:Issue 12(2015)
• Page Start: 1348
• Page End: 1371
• Publication Date: 2015-01-21
• Subjects: Frictionless contact -- elastic‐perfect plasticity -- limit load analysis -- semi‐smooth Newton methods -- alternating direction method of multipliers; Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; Engineering -- Periodicals; 519
• DOI: 10.1002/zamm.201400069
• Languages: English
• ISSNs: 0044-2267

Abstract

Abstract : 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. Abstract : The 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.