Symbolically generated 3D smooth polynomial frictional contact element based on the quartic bézier surfaces

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  • University of Ljubljana
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Details

Original languageEnglish
Title of host publicationEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
Publication statusPublished - 2000
EventEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000 - Barcelona, Spain
Duration: 11 Sept 200014 Sept 2000

Publication series

NameEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000

Abstract

A new 3D smooth triangular frictional node to surface contact element is developed using an abstract symbolical programming approach. Such element is used in combination with tetrahedral continuum elements suitable for the automatic mesh generation. Smooth contact surface description is based on the six quartic Bézier surfaces. The weak formulation and the penalty method are formulated for the description of large deformation frictional contact problems. The presented approach, based on a non-associated frictional law and elastic-plastic tangential slip decomposition, results into quadratic rate of convergence within the Newton-Raphson iteration loop.

Keywords

    Bézier, Contact, Frictional, Smooth, Symbolic, Tetrahedral

ASJC Scopus subject areas

Cite this

Symbolically generated 3D smooth polynomial frictional contact element based on the quartic bézier surfaces. / Krstulovic-Opara, Lovre; Wriggers, Peter; Korelc, Joze.
European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000. 2000. (European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Krstulovic-Opara, L, Wriggers, P & Korelc, J 2000, Symbolically generated 3D smooth polynomial frictional contact element based on the quartic bézier surfaces. in European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000. European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, Barcelona, Spain, 11 Sept 2000.
Krstulovic-Opara, L., Wriggers, P., & Korelc, J. (2000). Symbolically generated 3D smooth polynomial frictional contact element based on the quartic bézier surfaces. In European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000 (European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000).
Krstulovic-Opara L, Wriggers P, Korelc J. Symbolically generated 3D smooth polynomial frictional contact element based on the quartic bézier surfaces. In European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000. 2000. (European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000).
Krstulovic-Opara, Lovre ; Wriggers, Peter ; Korelc, Joze. / Symbolically generated 3D smooth polynomial frictional contact element based on the quartic bézier surfaces. European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000. 2000. (European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000).
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AU - Wriggers, Peter

AU - Korelc, Joze

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N2 - A new 3D smooth triangular frictional node to surface contact element is developed using an abstract symbolical programming approach. Such element is used in combination with tetrahedral continuum elements suitable for the automatic mesh generation. Smooth contact surface description is based on the six quartic Bézier surfaces. The weak formulation and the penalty method are formulated for the description of large deformation frictional contact problems. The presented approach, based on a non-associated frictional law and elastic-plastic tangential slip decomposition, results into quadratic rate of convergence within the Newton-Raphson iteration loop.

AB - A new 3D smooth triangular frictional node to surface contact element is developed using an abstract symbolical programming approach. Such element is used in combination with tetrahedral continuum elements suitable for the automatic mesh generation. Smooth contact surface description is based on the six quartic Bézier surfaces. The weak formulation and the penalty method are formulated for the description of large deformation frictional contact problems. The presented approach, based on a non-associated frictional law and elastic-plastic tangential slip decomposition, results into quadratic rate of convergence within the Newton-Raphson iteration loop.

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KW - Contact

KW - Frictional

KW - Smooth

KW - Symbolic

KW - Tetrahedral

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M3 - Conference contribution

AN - SCOPUS:84893421609

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BT - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000

T2 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000

Y2 - 11 September 2000 through 14 September 2000

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