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      A mixed formulation of mortar-based contact with friction

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      Author
      Temizer, I.
      Date
      2013
      Source Title
      Computer Methods in Applied Mechanics and Engineering
      Print ISSN
      0045-7825
      Publisher
      Elsevier
      Volume
      255
      Pages
      183 - 195
      Language
      English
      Type
      Article
      Item 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
      Contact
      Friction
      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
      Permalink
      http://hdl.handle.net/11693/21061
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.cma.2012.12.002
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