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Contact, Friction, Discrete Mechanical Structures and Mathematical Programming

  • A. Klarbring
Part of the International Centre for Mechanical Sciences book series (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.

Keywords

Contact Force Contact Problem Linear Complementarity Problem Normal Contact Force Quasivariational Inequality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 1999

Authors and Affiliations

  • A. Klarbring
    • 1
  1. 1.Linköping UniversityLinköpingSweden

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