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Contact, Friction, Discrete Mechanical Structures and Mathematical Programming

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New Developments in Contact Problems

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 384))

Abstract

These lecture notes contain three main parts. The first part is the mathematical modeling of the discrete finite-dimensional, small displacement, quasistatic, frictional contact problem.

The second part contains four sections, where four different contact problems are formulated as Linear Complementarity Problems (LCPs): the frictionless problem, the steady sliding problem, the rate problem and the incremental problem. These are all derived from the quasistatic problem formulated in the first part. The four problems are discussed with respect to existence and multiplicity of solutions.

The third and final part of the lecture notes concerns structural optimization in contact problems. We go through the main peculiarities related to optimum mechanical design of structures involving unilateral frictionless contact and give examples of results obtained for the so called gap design problem.

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Authors and Affiliations

  1. Linköping University, Linköping, Sweden

    A. Klarbring

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  1. A. Klarbring
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Editors and Affiliations

  1. University of Hannover, Germany

    Peter Wriggers

  2. Aristotle University of Thessaloniki, Greece

    Panagiotis Panagiotopoulos

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© 1999 Springer-Verlag Wien

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Klarbring, A. (1999). Contact, Friction, Discrete Mechanical Structures and Mathematical Programming. In: Wriggers, P., Panagiotopoulos, P. (eds) New Developments in Contact Problems. International Centre for Mechanical Sciences, vol 384. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2496-3_2

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  • DOI: https://doi.org/10.1007/978-3-7091-2496-3_2

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83154-0

  • Online ISBN: 978-3-7091-2496-3

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