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      Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS

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      Author
      Temizer, I.
      Wriggers, P.
      Hughes, T. J. R.
      Date
      2012
      Source Title
      Computer Methods in Applied Mechanics and Engineering
      Print ISSN
      0045-7825
      Volume
      209-212
      Pages
      115 - 128
      Language
      English
      Type
      Article
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      Abstract
      A three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS is presented in the finite deformation regime. Within a setting where the NURBS discretization of the contact surface is inherited directly from the NURBS discretization of the volume, the contact integrals are evaluated through a mortar approach where the geometrical and frictional contact constraints are treated through a projection to control point quantities. The formulation delivers a non-negative pressure distribution and minimally oscillatory local contact interactions with respect to alternative Lagrange discretizations independent of the discretization order. These enable the achievement of improved smoothness in global contact forces and moments through higher-order geometrical descriptions. It is concluded that the presented mortar-based approach serves as a common basis for treating isogeometric contact problems with varying orders of discretization throughout the contact surface and the volume. © 2011 Elsevier B.V.
      Keywords
      Friction
      Isogeometric analysis
      Mortar method
      Three-dimensional contact
      Contact forces
      Contact interaction
      Contact problem
      Contact surface
      Control point
      Discretizations
      Finite deformations
      Frictional contact
      Higher order
      Isogeometric analysis
      Lagrange
      Permalink
      http://hdl.handle.net/11693/21612
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.cma.2011.10.014
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      • Department of Mechanical Engineering 214

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