Isogeometric large deformation frictionless contact using T-splines

authored by: R. Dimitri, L. De Lorenzis, M. A. Scott, P. Wriggers, R. L. Taylor, G. Zavarise
Abstract: T-spline-based isogeometric analysis is applied to frictionless contact problems between deformable bodies in the context of large deformations. The continuum is discretized with cubic T-splines and cubic NURBS. A Gauss-point-to-surface formulation is combined with the penalty method to treat the contact constraints in the discretized setting. It is demonstrated that analysis-suitable T-splines, coupled with local refinement, accurately approximate contact pressures with far fewer degrees of freedom than NURBS. Both two- and three-dimensional examples are presented. Additionally, all T-spline analysis models are generated using commercially available T-spline modeling software without intermediate mesh generation or geometry clean-up steps.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): University of Salento
Technische Universität Braunschweig
Brigham Young University
University of California at Berkeley
Type: Article
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 269
Pages: 394-414
No. of pages: 21
ISSN: 0045-7825
Publication date: 16.11.2013
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Mechanics of Materials, Mechanical Engineering, General Physics and Astronomy, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.cma.2013.11.002 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{cbd5c2901a464ed7a9eeb4517f105314,
title = "Isogeometric large deformation frictionless contact using T-splines",
abstract = "T-spline-based isogeometric analysis is applied to frictionless contact problems between deformable bodies in the context of large deformations. The continuum is discretized with cubic T-splines and cubic NURBS. A Gauss-point-to-surface formulation is combined with the penalty method to treat the contact constraints in the discretized setting. It is demonstrated that analysis-suitable T-splines, coupled with local refinement, accurately approximate contact pressures with far fewer degrees of freedom than NURBS. Both two- and three-dimensional examples are presented. Additionally, all T-spline analysis models are generated using commercially available T-spline modeling software without intermediate mesh generation or geometry clean-up steps.",
keywords = "Contact mechanics, Isogeomtric analysis, NURBS, T-splines",
author = "R. Dimitri and {De Lorenzis}, L. and Scott, {M. A.} and P. Wriggers and Taylor, {R. L.} and G. Zavarise",
note = "Funding information: The authors at the Universit{\`a} del Salento and at the Technische Universit{\"a}t Braunschweig have received funding for this research from the European Research Council under the European Union{\textquoteright}s Seventh Framework Programme (FP7/2007-2013), ERC Starting Researcher Grant “INTERFACES”, Grant agreement No. 279439.",
year = "2013",
month = nov,
day = "16",
doi = "10.1016/j.cma.2013.11.002",
language = "English",
volume = "269",
pages = "394--414",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
}