Mase - Continuum Mechanics for Engineers 2e (CRC, 1999).pdf - PHYSICS - sigebryht

CONTINUUM

MECHANICS

for ENGINEERS

Second Edition

CONTINUUM

for ENGINEERS

G. Thomas Mase

George E. Mase

CRC Press

Boca Raton London New York Washington, D.C.

MECHANICS

Library of Congress Cataloging-in-Publication Data

Mase, George Thomas.

Continuum mechanics for engineers / G. T. Mase and G. E. Mase. --

2nd ed.

p. cm.

Includes bibliographical references (p. )and index.

ISBN 0-8493-1855-6 (alk. paper)

1. Continuum mechanics. I. Mase, George E.

QA808.2.M364 1999

531—dc21

99-14604

CIP

This book contains information obtained from authentic and highly regarded sources.

Reprinted material is quoted with permission, and sources are indicated. A wide variety of

references are listed. Reasonable efforts have been made to publish reliable data and informa-

tion, but the author and the publisher cannot assume responsibility for the validity of all

materials or for the consequences of their use.

Neither this book nor any part may be reproduced or transmitted in any form or by any

means, electronic or mechanical, including photocopying, microﬁlming, and recording, or by

any information storage or retrieval system, without prior permission in writing from the

publisher.

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Direct all inquiries to CRC Press LLC, 2000 N.W. Corporate Blvd., Boca Raton, Florida 33431.

Product or corporate names may be trademarks or registered trademarks,

and are only used for identiﬁcation and explanation, without intent to infringe.

No claim to original U.S. Government works

International Standard Book Number 0-8493-1855-6

Library of Congress Card Number 99-14604

Printed in the United States of America 1 2 3 4 5 6 7 8 9 0

Printed on acid-free paper

Trademark Notice:

Preface to Second Edition

It is ﬁtting to start this, the preface to our second edition, by thanking all of

those who used the text over the last six years. Thanks also to those of you

who have inquired about this revised and expanded version. We hope that

you ﬁnd this edition as helpful as the ﬁrst to introduce seniors or graduate

students to continuum mechanics.

The second edition, like its predecessor, is an outgrowth of teaching con-

tinuum mechanics to ﬁrst- or second-year graduate students. Since my father

is now fully retired, the course is being taught to students whose ﬁnal degree

will most likely be a Masters at Kettering University. A substantial percent-

age of these students are working in industry, or have worked in industry,

when they take this class. Because of this, the course has to provide the stu-

dents with the fundamentals of continuum mechanics and demonstrate its

applications.

Very often, students are interested in using sophisticated simulation pro-

grams that use nonlinear kinematics and a variety of constitutive relation-

ships. Additions to the second edition have been made with these needs in

mind. A student who masters its contents should have the mechanics foun-

dation necessary to be a skilled user of today’s advanced design tools such as

nonlinear, explicit ﬁnite elements. Of course, students need to augment the

mechanics foundation provided herein with rigorous ﬁnite element training.

Major highlights of the second edition include two new chapters, as well as

signiﬁcant expansion of two other chapters. First, Chapter Five,

Fundamental Laws and Equations, was expanded to add material regarding

constitutive equation development. This includes material on the second law

of thermodynamics and invariance with respect to restrictions on constitu-

tive equations. The ﬁrst edition applications chapter covering elasticity and

ﬂuids has been split into two separate chapters. Elasticity coverage has been

expanded by adding sections on Airy stress functions, torsion of noncircular

cross sections, and three-dimensional solutions. A chapter on nonlinear

elasticity has been added to give students a molecular and phenomenological

introduction to rubber-like materials. Finally, a chapter introducing students

to linear viscoelasticity is given since many important modern polymer

applications involve some sort of rate dependent material response.

It is not easy singling out certain people in order to acknowledge their help

while not citing others; however, a few individuals should be thanked.

Ms. Sheri Burton was instrumental in preparation of the second edition

manuscript. We wish to acknowledge the many useful suggestions by users of

the previous edition, especially Prof. Morteza M. Mehrabadi, Tulane University,

for his detailed comments. Thanks also go to Prof. Charles Davis, Kettering

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