Nonlinear Strain Waves in Elastic Waveguides
Strain wave propagation in nonlinearly elastic wave guides is considered. The general idea is how, starting from the first principles, to reduce the initial highly nonlinear elastic wave problem governed by coupled p.d.e. to the only one “double dispersio
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Series Editors: The Rectors of CISM Sandor Kaliszky - Budapest Mahir Sayir - Zurich Wilhelm Schneider - Wien The Secretary General of CISM 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 in 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 LECfURES - No. 341
NONLINEAR WAVES IN SOLIDS
EDITED BY A.JEFFREY UNIVERSITY OF NEWCASTLE UPON TYNE J. ENGELBRECHT
ESTONIAN ACADEMY OF SOENCES
SPRINGER-VERLAG WIEN GMBH
Le spese di stampa di questo volume sono in parte coperte da contributi del Consiglio Nazionale delle Ricerche.
This volume contains 160 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.
© 1994 by Springer-Verlag Wien Originally published by Springer Verlag Wien-New York in 1994
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 978-3-211-82558-7 ISBN 978-3-7091-2444-4 (eBook) DOI 10.1007/978-3-7091-2444-4
PREFACE
This volume contains the text of the lectures presented at the CISM course on "Nonlinear Waves in Solids" held in Udine, September 13-17, 1993. The course formed part of the Signorini Session, 1993. During the last decade new phenomena have been discovered in many areas of nonlinear dynamics. Together with fluid and gas dynamics, which have long been the traditional nonlinear sciences, solid mechanics is now taking more and more account of nonlinear effects. Apartfrom plasticity andfracture mechanics, nonlinear elastic waves have proved to be of great importance in many areas as, for example, in the study of impact, nondestructive testing and seismology. The course covered a wide area of knowledge, ranging from useful new concepts in continuum mechanics like pseudomomentum to experimental work showing the existence of solitary waves of deformation in nonlinear waveguides. The aim of this course was to provide a thorough and up to date account of the fundamental theory of nonlinear deformation waves in solids supported by relevant practical case studies. Emphasis was placed on the modelling of the various physical effects in wave motion that result in wellformulated basic equations. Several case studies including surface waves, waveguides, coupled fields and modulated wave trains were analyzed in detail. During the panel discussion the problems caused
