On geometrically nonlinear contact problems with friction
type: Item
instance of: scholarly article
title: On geometrically nonlinear contact problems with friction
zbMATH Open document ID: 0546.73096
DOI: 10.1016/0045-7825(85)90031-3
author: N. E. Zubov
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1985-01-01T00:00:00Z
review text: The analysis of quasi-static contact problems applying an 'updated' respectively a 'total Lagrangian formulation' is extended in a way that frictional effects according to Coulomb's law are being incorporated into the incremental procedure which is closely related to the unit load method. Further novel aspects are to be found in the iterative computation of the tangential components of the stress distribution in the contact area due to various boundary conditions. The second part of the paper deals with the application of the nonlinear programming technique to problems with bilateral constraints. Using standard finite element techniques an 'augmented Lagrangian' is defined for a predeformed compressed rod. Neglecting frictional effects, the contact zones and the nodal contact forces between the deformed rod and lateral rigid objects are described by the Kuhn-Tucker conditions.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74S99
zbMATH DE Number: 3870779
zbMATH Keywords: quasi-static contact problems
zbMATH Keywords: updated
zbMATH Keywords: total Lagrangian formulation
zbMATH Keywords: frictional effects
zbMATH Keywords: Coulomb's law
zbMATH Keywords: incremental procedure
zbMATH Keywords: unit load method
zbMATH Keywords: tangential components of the stress distribution
zbMATH Keywords: various boundary conditions
zbMATH Keywords: nonlinear programming technique
zbMATH Keywords: bilateral constraints
zbMATH Keywords: standard finite element techniques
zbMATH Keywords: augmented Lagrangian
zbMATH Keywords: predeformed compressed rod
zbMATH Keywords: Kuhn-Tucker conditions
MaRDI profile type: Publication
full work available at URL: 0045-7825(85)90031-3
OpenAlex ID: W2005052609
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description: scientific article; zbMATH DE number 3870779