Details
Original language | English |
---|---|
Pages (from-to) | 394-414 |
Number of pages | 21 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 269 |
Publication status | Published - 16 Nov 2013 |
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
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. 269, 16.11.2013, p. 394-414.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Isogeometric large deformation frictionless contact using T-splines
AU - Dimitri, R.
AU - De Lorenzis, L.
AU - Scott, M. A.
AU - Wriggers, P.
AU - Taylor, R. L.
AU - Zavarise, G.
N1 - Funding information: The authors at the Università del Salento and at the Technische Universität Braunschweig have received funding for this research from the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013), ERC Starting Researcher Grant “INTERFACES”, Grant agreement No. 279439.
PY - 2013/11/16
Y1 - 2013/11/16
N2 - 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.
AB - 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.
KW - Contact mechanics
KW - Isogeomtric analysis
KW - NURBS
KW - T-splines
UR - http://www.scopus.com/inward/record.url?scp=84890090590&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2013.11.002
DO - 10.1016/j.cma.2013.11.002
M3 - Article
AN - SCOPUS:84890090590
VL - 269
SP - 394
EP - 414
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -