Stability and Critical Points in Large Displacement Frictionless Contact Problems
The present lecture notes discuss discrete mechanical structures that when deformed may come into frictionless unilateral contact with rigid obstacles. Since arbitrarily large displacements are considered, the structures may buckle, i.e. exhibit instabili
- PDF / 26,050,868 Bytes
- 297 Pages / 482.441 x 691.987 pts Page_size
- 101 Downloads / 166 Views
Series Editors: The Rectors Manuel Garcia Velarde - Madrid Mahir Sayir - Zurich Wilhelm Schneider - Wien
The Secretary General Bernhard Schrefler - Padua
Former Secretary General Giovanni Bianchi - Milan
Executive Editor Carlo Tasso- Udine
The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series is to make known in the international scientific and technical community results obtained in some of the activities organized by CISM, the International Centre for Mechanical Sciences.
INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES COURSES AND LECTURES - No. 457
FRICTION AND INSTABILITIES
EDITED BY J.A.C. MARTINIS 1ST LISBON PORTUGAL M.RAOUS LMA MARSEILLE FRANCE
i
Springer-Verlag Wien GmbH
This volume contains 145 illustrations
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. © 2002 by Springer-Verlag Wien Originally published by Springer-Verlag Wien New York in 2002 SPIN 10897270
In order to make this volume available as economically and as rapidly as possible the authors' typescripts have been reproduced in their original forms. This method unfortunately has its typographical limitations but it is hoped that they in no way distract the reader.
ISBN 978-3-211-83695-8 DOI 10.1007/978-3-7091-2534-2
ISBN 978-3-7091-2534-2 (eBook)
PREFACE
This monograph contains the Lectures Notes of an Advanced Summer School on "Friction and Instabilities" that took place in Udine, Italy, in July 3-7, 2000, under the auspices ofthe International Centre for Mechanical Sciences (CISM) and the International Union of Theoretical and Applied Mechanics (IUTAM). The course had the objective of surveying recent theoretical developments on stability and bifurcation in frictional contact problems, as well as the corresponding com-putational algorithms. Stability and bifurcation analyses of rate independent dissipative systems were the object of other CISM courses (* ). The generalization of that body of theoreti-cal developments to frictional contact problems was the main goal of this course. In fact, the non-associativity ofCoulombsfriction poses delicate questions con-cerning appropriate stability concepts and criteria, which have much in common with those found in stability analyses of solids whose incremental constitutive moduli do not possess the major symmetry. In addition, the unilaterality of the contact raises important difficulties concerning the appropriate formulation and resolution of dynamic problems. With the purpose of presenting an up-to-date view of the theoretical and computational advances in the field, concepts and approaches originating from a variety of areas were put together in the course: contact and impact mechanics, nonlinear dynamics, mathematical theory of
