Computational Mechanics International Conference on Computational Me

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461 Computational Mechanics International Conference on Computational Methods in Nonlinear Mechanics, Austin, Texas, 1974

Edited by J. T. Oden

Springer-Verlag Berlin.Heidelberg

New 9 York 1975

Editor Prof. J. Tinsley Oden Department of Aerospace and Engineering Mechanics University of Texas at Austin Austin, Texas 78712 USA

Library of Congress Cataloging in Publication Data

Computational mechanics. (Texas tracts in computational mechanics) (Lecture notes in mathematics ; 461) "With the exception of chapter 27 all of these lectures were also delivered at the International Conference on Computational Methods in Nonlinear Mechanics held in Austin, Texas, in September, 1974." Bibliography: p. Includes index. i. Mechanics, Analytic--Congresses. 2. Nonlinear theories--Congresses. I. Oden, John Tinsley, 1936II. International Conference on Computational Methods in Nonlinear Mechanics, Austin, Tex.~ 1974. III. Series. IV. Series: Lecture notes in mathematics (Berlin) ; 461. QA3.L28 no. 461 [QASOI] 510'.8s [551'.O1'515] 75-14390

A M S Subject Classifications (1970): 62-02, 70-02, 73-02, 76-02 ISBN 3-540-07169-5 ISBN 0-387-07169-5

Springer-Verlag Berlin 9Heidelberg New 9 York Springer-Verlag New York Heidelberg 9 Berlin 9

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. Under w 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. 9 by Springer-Verlag Berlin 9Heidelberg 1975. Printed in Germany. Offsetdruck: Julius Beltz, Hemsbach/Bergstr.

PREFACE

This volume contains a c o l l e c t i o n of special i n v i t e d lectures on computational methods in nonlinear mechanics prepared by s p e c i a l i s t s from a wide c o l l e c t i o n of disciplines.

With the exception of Chapter 2, a l l of these lectures were also

delivered at the I n t e r n a t i o n a l Conference on Computational Methods in Nonlinear Mechanics held in Austin, Texas, in September 1974, which was held under the sponsorship of the U. S. National Science Foundation.

The o r i g i n a l i n t e n t i o n of

the meeting, and f o r c o l l e c t i n g t h i s set of lectures, was to bring together in one place the l a t e s t results on computational methods f o r nonlinear problems from a number of diverse areas in the hope that techniques that had been found successful in one area may have some impact on problems in other areas.

In a d d i t i o n , i t was

hoped that the s t a t e - o f - t h e - a r t in certain areas of computational mechanics could be summarized.

I believe that a reader who examines the contents w i l l agree that

both of these objectives have been accomplished. J. T. Oden Austin, 1975

TABLE OF CONTENTS

PREFACE. . . . . . . . . . . . . . . . . . . . .