Elements of the Theory of Finite Strain
In these lectures, basic properties of finite strain are introduced. Also, new recent results about finite shear are presented.
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Series Editors: The Rectors Sandor Kaliszky - Budapest 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. 424
TOPICS IN FINITE ELASTICITY
EDITED BY MICHAEL HAYES UNIVERSITY COLLEGE DUBLIN GIUSEPPE SACCOMANDI UNIVERSITY OF LECCE
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Springer-Verlag Wien GmbH
This volume conta ins 21 illustration
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 machi ne or similar means, and storage in data banks.
© 2001 by Springer-Verlag Wien Originally published by Springer-Verlag Wien New York in 2001 SPIN 10837213
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 978-3-211-83336-0 DOI 10.1007/978-3-7091-2582-3
ISBN 978-3-7091-2582-3 (eBook)
PREFACE
The Advanced School on "Topics in Finite Elasticity", held in CISM from 12-16 June 2000, attracted participants from more than fifteen countries. Thirty-four lectures, delivered in separate courses by six international experts, were devoted to both theory and experiment and combined standard basic material and new results. The lectures sought to provide a comprehensive foundation and a detailed account of selected contemporary developments. The six courses were as follows: Professor M. Hayes (University College Dublin, Ireland) presented the foundations offinite strain theory together with an introduction to recent research on unsheared pairs of material line elements, limiting directions, planar shear and Jaeger shear. Professor M.F. Beatty (University of Nebraska, Lincoln, Nebraska, USA) described some special theoretical models of elastomers and tissues and illustrated the results by corresponding experimental evidence. In particular, he discussed Bell's experiments on annealed metals - copper, aluminium and zinc. He also presented an account of the Mullins effect in elastomers. Professor G. Saccomandi (University of Leece, Italy) surveyed the field of universal results in finite elasticity and described how universal solutions are obtained for internally constrained homogeneous isotropic elastic materials. He included an account, with many examples, of his method for the determination of universal relations. Pr
