T H I S BOOK is a rewritten and expanded edition of a book published in Romanian in 1958. The overall objective of this book is the presentation of solutions and methods of solution for boundary value problems in djmamic plasticity. To this end, a wide variety of problems are considered, for a fairly wide variety of types of assumed material behavior. The problem areas considered include: longitudinal plastic wave propagation (rate independent and rate dependent), the mechanics of extensible strings, the mechanics of circular membranes, axisymmetric problems, plane waves, shock waves in solids, and plastic waves in soils. The appendix contains a presentation of various differential constitutive equations which are used in dynamic plasticity. There is also an extensive bibliography. The solutions are generally obtained by the method of characteristics or by the numerical solution of difference equations obtained from incremental relations along characteristics. The numerical solutions would be of greater interest if experimental data were available for the conditions that the theoretical models are intended to simulate; however, these solutions do serve to illustrate the essential features of the theoretical predictions. The book should be of considerable interest to researchers and engineers interested in the dynamic plastic deformation of metals.

Library of Congress Cataloging-in-Publication Data Brekhovskikh, L.M. (Leonid Maksimovich) [Teoreticheskie osnovy akustiki okeana. English] Fundamentals of ocean acoustics/L.M. Brekhovskikh, Yu.P. Lysanov.-3rd ed. p. cm.-(Modern acoustics and signal processing) Includes bibliographical references and index. ISBN 0-387-95467-8 (acid-free paper) 1. Underwater acoustics. I. Lysanov, IU.P. (IUrii Pavlovich) II. Title. III. AIP series in modern acoustics and signal processing.

The opinions expressed are those of the individual reviewers and are not necessar//y endorsed by the Editor/a/Board of this Journa/. Acoustics Philip M. Morse and K. Uno Ingard Princeton U. P., Reprint (paperback). xix 4-927pp. Price $25.00. This volume is a paperback reprint of the 1968 edition, plus one sheet of errata. When the book originally appeared in 1968, the second edition of Professor Morse's earlier text ( Vibration and Sound) was already 20 years old. In his review [J. Acoust. Soc. Am. 45, 259 (1969)], my colleague, Professor A. O. Williams, Jr., balanced a review of the book's contents with a comparison to the coverage of material in the two texts. Now, a similar comparison is in order, since, as the reader may well be aware, the Acoustical Society of America brought out a reprinting of the second edition of Vibration and Sound in 1981. It is, therefore, appropriate to quote from William's review:"The present text is just about doubled in length (in comparison with Vibration and Sound), largely through the addition of five chapters of material not earlier included; these contributed 60% of the added length .... Very definitely. Theoretical Acoustics is a text, not a monograph or handbook. It introduces mathematical methods and carries the student through successively more advanced levels of theoretical treatment. There are plenty of problems, an average of 17 per chapter. These range from numerical essays on derived results to expansions of the chapter's analysis and extensions of the theory. Many problems are developed in some detail, to guide the student through exercises. It is a good book, a worthy extension of Vibration and Sound. Whether it is a replacement--whether you can throw away the earlier well-thumbed text--is for you to decide after comparison; some degree of simpler presentation and some amount of applied discussion would certainly thereby be lost." One final remark. When the review copy reached the writer, it contained a slip indicating that the price was $75.00, which seemed extremely high. Since then, the writer has also received an advertising card on the book, giving the price at $25.00. Let us hope that the latter price is the correct one! ix 4-422 pp. Price $29.95.

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