Contact treatment in isogeometric analysis with NURBS

authored by: Ilker Temizer, P. Wriggers, T. J.R. Hughes
Abstract: We study NURBS-based isogeometric analysis of contact problems and compare with standard C0-continuous Lagrange finite elements. A knot-to-surface (KTS) algorithm is developed to treat the contact constraints with NURBS contact surface discretizations. Qualitative studies deliver satisfactory results for various finite deformation frictionless thermoelastic contact problems. Quantitative studies based on the Hertz problem suggest the need for a relaxation of the mechanical contact constraints that appear in the standard KTS approach. The improved mortar-based KTS algorithm delivers robust and accurate results for NURBS discretizations. Based on numerical examples, we conclude that NURBS-based isogeometric analysis is a viable technology for contact problems and offers potential accuracy as well as convergence improvements over C0-continuous finite elements.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): University of Texas at Austin
Type: Article
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 200
Pages: 1100-1112
No. of pages: 13
ISSN: 0045-7825
Publication date: 13.12.2010
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.2010.11.020 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{af5a1a926d534f15892e2c321adf28be,
title = "Contact treatment in isogeometric analysis with NURBS",
abstract = "We study NURBS-based isogeometric analysis of contact problems and compare with standard C0-continuous Lagrange finite elements. A knot-to-surface (KTS) algorithm is developed to treat the contact constraints with NURBS contact surface discretizations. Qualitative studies deliver satisfactory results for various finite deformation frictionless thermoelastic contact problems. Quantitative studies based on the Hertz problem suggest the need for a relaxation of the mechanical contact constraints that appear in the standard KTS approach. The improved mortar-based KTS algorithm delivers robust and accurate results for NURBS discretizations. Based on numerical examples, we conclude that NURBS-based isogeometric analysis is a viable technology for contact problems and offers potential accuracy as well as convergence improvements over C0-continuous finite elements.",
keywords = "Isogeometric analysis, Mortar method, NURBS, Thermomechanical contact",
author = "Ilker Temizer and P. Wriggers and Hughes, {T. J.R.}",
year = "2010",
month = dec,
day = "13",
doi = "10.1016/j.cma.2010.11.020",
language = "English",
volume = "200",
pages = "1100--1112",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
number = "9-12",
}