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Contact between 3D Beams with Rectangular Cross-Sections

  • Conference paper
Contact Mechanics

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 103))

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Abstract

A frictionless contact between 3D beams is analysed. The contact element allows for large displacements but small strains. An effective contact-search algorithm, which is necessary to determine an active set for the contact contribution treatment, is developed. The contact element uses the physical shape functions of Timoshenko beam element. A consistent linearisation of the contact contribution within the penalty approach is derived. One of many solved numerical examples shows the efficiency of the prepared approach.

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References

  • Luenberger, D.G. (1989) Linear and Nonlinear Programming. Addison-Wesley Publishing Company: Reading, Massachusetts.

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Authors and Affiliations

  1. Institute for Structural and Computational Mechanics, University Hanover, Appelstr. 9A, 30167, Hanover, Germany

    Przemysław Litewka & Peter Wriggers

Authors
  1. Przemysław Litewka
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  2. Peter Wriggers
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© 2002 Springer Science+Business Media Dordrecht

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Litewka, P., Wriggers, P. (2002). Contact between 3D Beams with Rectangular Cross-Sections. In: Contact Mechanics. Solid Mechanics and Its Applications, vol 103. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1154-8_38

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  • DOI: https://doi.org/10.1007/978-94-017-1154-8_38

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6099-0

  • Online ISBN: 978-94-017-1154-8

  • eBook Packages: Springer Book Archive

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