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

authored by: I. Temizer, P. Wriggers, T. J.R. Hughes
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.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Bilkent University
University of Texas at Austin
Type: Article
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 209-212
Pages: 115-128
No. of pages: 14
ISSN: 0045-7825
Publication date: 02.11.2011
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Mechanics of Materials, Mechanical Engineering, Physics and Astronomy(all), Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.cma.2011.10.014 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{466f5010c9cb4b5d96b4b0da4ceb1162,
title = "Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS",
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",
author = "I. Temizer and P. Wriggers and Hughes, {T. J.R.}",
year = "2011",
month = nov,
day = "2",
doi = "10.1016/j.cma.2011.10.014",
language = "English",
volume = "209-212",
pages = "115--128",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
}