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

Date
2012
Authors
Temizer, I.
Wriggers, P.
Hughes, T. J. R.
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Source Title
Computer Methods in Applied Mechanics and Engineering
Print ISSN
0045-7825
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Volume
209-212
Issue
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.

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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
Citation
Published Version (Please cite this version)