Friction and Instabilities

  • J. A. C. Martinis
  • M. Raous

Part of the International Centre for Mechanical Sciences book series (CISM, volume 457)

Table of contents

  1. Front Matter
    Pages ii-vii
  2. J. R. Barber
    Pages 1-37
  3. J. A. C. Martins, A. Pinto da Costa, F. M. F. Simões
    Pages 65-136
  4. Franck Moirot, Quoc-Son Nguyen
    Pages 137-178

About this book

Introduction

The book addresses instability and bifurcation phenomena in frictional contact problems. The treatment of this subject has its roots in previous studies of instability and bifurcation in elastic, thermoelastic or elastic-plastic bodies, and in previous mathematical, mechanical and computational studies of unilateral problems. The salient feature of this book is to put together and develop concepts and tools for stability and bifurcation studies in mechanics, taking into account the inherent non-smoothness and non-associativity (non-symmetry) of unilateral frictional contact laws. The mechanical foundations, the mathematical theory and the computational algorithms for such studies are developed along six chapters written by the lecturers of a CISM course. Those concepts and tools are illustrated not only with enlightening academic examples but also with some demanding industrial applications, related, namely, to the automotive industry.

Keywords

Bifurcation Computational Methods Contact Mechanics Fricton Self-exicited Oscillations Solid Mechanics Stability algorithms computational method contact mechanics friction instability mechanics oscillation solid stability Vibration

Editors and affiliations

  • J. A. C. Martinis
    • 1
  • M. Raous
    • 2
  1. 1.IST Lisbon PortugalPortugal
  2. 2.LMA Marseille FranceFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-2534-2
  • Copyright Information CISM Udine 2002
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-211-83695-8
  • Online ISBN 978-3-7091-2534-2
  • Series Print ISSN 0254-1971
  • Series Online ISSN 2309-3706
  • About this book