Finite Element Analysis of Beam-to-Beam Contact

  • Przemysław Litewka

Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 53)

Table of contents

  1. Front Matter
  2. Przemysław Litewka
    Pages 1-11
  3. Przemysław Litewka
    Pages 13-37
  4. Przemysław Litewka
    Pages 39-69
  5. Przemysław Litewka
    Pages 71-97
  6. Przemysław Litewka
    Pages 99-119
  7. Przemysław Litewka
    Pages 121-134
  8. Przemysław Litewka
    Pages 135-136
  9. Back Matter

About this book


Phenomena occurring during a contact of two bodies are encountered in everyday life. In reality almost every type of motion is related to frictional contact between a moving body and a ground. Moreover, modeling of simple and more complex processes as nailing, cutting, vacuum pressing, movement of machines and their elements, rolling or, finally, a numerical simulation of car crash tests, requires taking contact into account. Therefore, its analysis has been a subject of many research efforts for a long time now. However, it is author’s opinion that there are relatively few efforts related to contact between structural elements, like beams, plates or shells. The purpose of this work is to fill this gap. It concerns the beam-to-beam contact as a specific case of the 3D solids contact. A numerical formulation of frictional contact for beams with two shapes of cross-section is derived. Further, a couple of effective methods for modeling of smooth curves representing beam axes are presented. A part of the book is also devoted to analyze some aspects of thermo-electro-mechanical coupling in contact of thermal and electric conductors. Analyses in every chapter are illustrated with numerical examples showing the performance of derived contact finite elements.


Finite- element analysis Friction in beam - to - beam contact beam-to-beam contact calculus finite element method finite elements friction modeling shells simulation solids

Authors and affiliations

  • Przemysław Litewka
    • 1
  1. 1.Institute of Structural EngineeringPoznan University of TechnologyPoznanPoland

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-12939-1
  • Online ISBN 978-3-642-12940-7
  • Series Print ISSN 1613-7736
  • Series Online ISSN 1860-0816
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