The quadrilateral parametric contact element based on the moving friction cone formulation

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Original languageEnglish
Title of host publicationAnalysis and Simulation of Contact Problems
EditorsPeter Wriggers, Udo Nackenhost
Pages95-102
Number of pages8
Edition27
Publication statusPublished - 2 Oct 2006

Publication series

NameLecture Notes in Applied and Computational Mechanics
Number27
Volume2006
ISSN (Print)1613-7736

Abstract

Contact between bodies is most commonly analyzed using quadrilateral contact elements that are based on 8-node brick (hexahedral) continuum finite elements. As a quadrilateral contact surface, in comparison to a triangular contact surface (tetrahedral continuum elements), is not necessarily flat, or it deforms as deformable body deforms, contact formulation turns to be a complex problem. Recent developments in contact routines based on the Moving Friction Cone (MFC) approach for flat triangular contact elements enabled significant simplifications in the element formulation, what is used herein. The MFC formulation of contact is based on the single gap vector, instead of two vectors (slip and stick one). The curved contact surface is defined in a parametric form, thus enabling finite deformations and a Lagrangian definition of contact.

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Cite this

The quadrilateral parametric contact element based on the moving friction cone formulation. / Krstulovíc-Opara, Lovre; Wriggers, Peter.
Analysis and Simulation of Contact Problems. ed. / Peter Wriggers; Udo Nackenhost. 27. ed. 2006. p. 95-102 (Lecture Notes in Applied and Computational Mechanics; Vol. 2006, No. 27).

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

Krstulovíc-Opara, L & Wriggers, P 2006, The quadrilateral parametric contact element based on the moving friction cone formulation. in P Wriggers & U Nackenhost (eds), Analysis and Simulation of Contact Problems. 27 edn, Lecture Notes in Applied and Computational Mechanics, no. 27, vol. 2006, pp. 95-102. https://doi.org/10.1007/3-540-31761-9_11
Krstulovíc-Opara, L., & Wriggers, P. (2006). The quadrilateral parametric contact element based on the moving friction cone formulation. In P. Wriggers, & U. Nackenhost (Eds.), Analysis and Simulation of Contact Problems (27 ed., pp. 95-102). (Lecture Notes in Applied and Computational Mechanics; Vol. 2006, No. 27). https://doi.org/10.1007/3-540-31761-9_11
Krstulovíc-Opara L, Wriggers P. The quadrilateral parametric contact element based on the moving friction cone formulation. In Wriggers P, Nackenhost U, editors, Analysis and Simulation of Contact Problems. 27 ed. 2006. p. 95-102. (Lecture Notes in Applied and Computational Mechanics; 27). doi: 10.1007/3-540-31761-9_11
Krstulovíc-Opara, Lovre ; Wriggers, Peter. / The quadrilateral parametric contact element based on the moving friction cone formulation. Analysis and Simulation of Contact Problems. editor / Peter Wriggers ; Udo Nackenhost. 27. ed. 2006. pp. 95-102 (Lecture Notes in Applied and Computational Mechanics; 27).
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