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

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  • University of Texas at Austin
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Original languageEnglish
Pages (from-to)115-128
Number of pages14
JournalComputer Methods in Applied Mechanics and Engineering
Volume209-212
Publication statusPublished - 2 Nov 2011

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.

Keywords

    Friction, Isogeometric analysis, Mortar method, Three-dimensional contact

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Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS. / Temizer, I.; Wriggers, P.; Hughes, T. J.R.
In: Computer Methods in Applied Mechanics and Engineering, Vol. 209-212, 02.11.2011, p. 115-128.

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AU - Wriggers, P.

AU - Hughes, T. J.R.

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AB - 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.

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