Details
| Original language | English |
|---|---|
| Pages (from-to) | 1100-1112 |
| Number of pages | 13 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 200 |
| Issue number | 9-12 |
| Publication status | Published - 13 Dec 2010 |
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
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 200, No. 9-12, 13.12.2010, p. 1100-1112.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Contact treatment in isogeometric analysis with NURBS
AU - Temizer, Ilker
AU - Wriggers, P.
AU - Hughes, T. J.R.
PY - 2010/12/13
Y1 - 2010/12/13
N2 - 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.
AB - 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.
KW - Isogeometric analysis
KW - Mortar method
KW - NURBS
KW - Thermomechanical contact
UR - http://www.scopus.com/inward/record.url?scp=78650974743&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2010.11.020
DO - 10.1016/j.cma.2010.11.020
M3 - Article
AN - SCOPUS:78650974743
VL - 200
SP - 1100
EP - 1112
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 9-12
ER -