ELASTICITY IN ENGINEERING MECHANICS

ELASTICITY IN ENGINEERING MECHANICS Elasticity in Engineering Mechanics, Third Edition Arthur P. Boresi, Ken P. Chong and James D. Lee Copyright © 2011 John Wiley & Sons, Inc. ELASTICITY IN ENGINEERING MECHANICS Third Edition ARTHUR P. BORESI Professor Emeritus University of Illinois, Urbana, Illinois and University of Wyoming, Laramie, Wyoming KEN P. CHONG Associate National Institute of Standards and Technology, Gaithersburg, Maryland and Professor Department of Mechanical and Aerospace Engineering George Washington University, Washington, D.C. JAMES D. LEE Professor Department of Mechanical and Aerospace Engineering George Washington University, Washington, D.C. JOHN WILEY & SONS, INC. This book is printed on acid-free paper. Copyright 2011 by John Wiley & Sons, Inc. 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Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic books. For more information about Wiley products, visit our web site at www.wiley.com. Library of Congress Cataloging-in-Publication Data: Boresi, Arthur P. (Arthur Peter), 1924- Elasticity in engineering mechanics / Arthur P. Boresi, Ken P. Chong and James D. Lee. – 3rd ed. p. cm. Includes bibliographical references and index. ISBN 978-0-470-40255-9 (hardback : acid-free paper); ISBN 978-0-470-88036-4 (ebk); ISBN 978-0-470-88037-1 (ebk); ISBN 978-0-470-88038-8 (ebk); ISBN 978-0-470-95000-5 (ebk); ISBN 978-0-470-95156-9 (ebk); ISBN 978-0-470-95173-6 (ebk) 1. Elasticity. 2. Strength of materials. I. Chong, K. P. (Ken Pin), 1942- II. Lee, J. D. (James D.) III. Title. TA418.B667 2011 620.101232–dc22 2010030995 Printed in the United States of America 10 9 8 7 6 5 4 3 2 1 CONTENTS Preface xvii CHAPTER 1 Part I INTRODUCTORY CONCEPTS AND MATHEMATICS 1 Introduction 1 1-1 Trends and Scopes 1 1-2 Theory of Elasticity 7 1-3 Numerical Stress Analysis 8 1-4 General Solution of the Elasticity Problem 9 1-5 Experimental Stress Analysis 9 1-6 Boundary Value Problems of Elasticity 10 Part II Preliminary Concepts 11 1-7 Brief Summary of Vector Algebra 12 1-8 Scalar Point Functions 16 1-9 Vector Fields 18 1-10 Differentiation of Vectors 19 1-11 Differentiation of a Scalar Field 21 1-12 Differentiation of a Vector Field 21 1-13 Curl of a Vector Field 22 1-14 Eulerian Continuity Equation for Fluids 22 v vi CONTENTS 1-15 Divergence Theorem 25 1-16 Divergence Theorem in Two Dimensions 27 1-17 Line and Surface Integrals (Application of Scalar Product) 28 1-18 Stokes’s Theorem 29 1-19 Exact Differential 30 1-20 Orthogonal Curvilinear Coordiantes in Three-Dimensional Space 31 1-21 Expression for Differential Length in Orthogonal Curvilinear Coordinates 32 1-22 Gradient and Laplacian in Orthogonal Curvilinear Coordinates 33 Part III CHAPTER 2 Elements of Tensor Algebra 36 1-23 Index Notation: Summation Convention 36 1-24 Transformation of Tensors under Rotation of Rectangular Cartesian Coordinate System 40 1-25 Symmetric and Antisymmetric Parts of a Tensor 46 1-26 Symbols δ and ² (the Kronecker Delta and the Alternating Tensor) 47 1-27 Homogeneous Quadratic Forms 49 1-28 Elementary Matrix Algebra 52 1-29 Some Topics in the Calculus of Variations 56 References 60 Bibliography 63 THEORY OF DEFORMATION 65 2-1 Deformable, Continuous Media 65 2-2 Rigid-Body Displacements 66 2-3 Deformation of a Continuous Region. Material Variables. Spatial Variables 68 2-4 Restrictions on Continuous Deformation of a Deformable Medium 71 Problem Set 2-4 75 2-5 Gradient of the Displacement Vector. Tensor Quantity 76 ... - tailieumienphi.vn