A mixed formulation of mortar-based contact with friction
Author
Temizer, I.
Date
2013Source Title
Computer Methods in Applied Mechanics and Engineering
Print ISSN
0045-7825
Publisher
Elsevier
Volume
255
Pages
183 - 195
Language
English
Type
ArticleItem Usage Stats
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Abstract
A classical three-field mixed variational formulation of frictionless contact is extended to the frictional regime. The construction of the variational framework with respect to a curvilinear coordinate system naturally induces projected mortar counterparts of tangential kinetic and kinematic quantities while automatically satisfying incremental objectivity of the associated discrete penalty-regularized mortar constraints. Mixed contact variables that contribute to the boundary value problem are then obtained through unconstrained, lumped or constrained recovery approaches, complemented by Uzawa augmentations. Patch tests and surface locking studies are presented together with local and global quality monitors of the contact interactions in two- and three-dimensional settings at the infinitesimal and finite deformation regimes. © 2012 Elsevier B.V.
Keywords
ContactFriction
Large deformation
Mixed formulation
Mortar method
Contact interaction
Curvilinear coordinate systems
Finite deformations
Frictionless contacts
Global quality
Incremental objectivity
Large deformations
Mixed formulations
Mixed variational formulation
Mortar methods
Patch tests
Three-dimensional settings
Variational framework