Waves in Elastic Media
We consider the propagation of plane waves in the context of linearized elasticity theory. Both homogeneous and inhomogeneous waves are considered. Propagation in internally constrained media is briefly considered as well as propagation in unconstrained a
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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. 344
STABILITY AND WAVE PROPAGATION IN FLUIDS AND SOLIDS
EDITED BY G.P. GALDI UNIVERSITY OF FERRARA
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 20 illustrations
This work is subject to copyright. AII rights are reserved, whether the whole or part of the material is concemed specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machi ne or similar means, and storage in data banks. © 1995 by Springer-Verlag Wien Originally published by CISM, Udine in 1995.
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 978-3-211-82687-4 ISBN 978-3-7091-3004-9 (eBook) DOI 10.1007/978-3-7091-3004-9
PREFACE
There is currently a great deal of interest from both the basic scientific and practical engineering point of view in stability and wave propagation in fluids (classical and nonNewtonian) and in solids. The objective of this volume is to emphasize and to encompass the various aspects of interest which include the necessary mathematical analysis background, constitutive theories for materials of differential type, polarized and schock waves, and second sound in solids at low temperature. Specifically, the paper by Drazin is devoted to the stability and bifurcation of Navier-Stokes flow in channels of variable cross-section. The paper by Boulanger and Hayes deals with homogeneous and inhomogeneous wave propagation in elastic media with particular regard to polarized waves. In the paper by Galdi the well-posedness of the problem related to the equations of fluids of grade two is investigated, including a non-linear stability analysis of steady flows. Finally, in the paper by Ruggeri it is considered the relation between hyperbolic balance laws systems and wave propagation, with particular emphasis to schock wave structures. These papers are the content of a series of Lectures delivered by the above mentioned authors at the Atfvanced School "Stability and Wave Propagation in Fluids and Solids" held at the InternaticT:'ll Center for Mechanical Sciences (CISM) in Udine, during the period of may 24-28, 19
