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Theory of Dislocations Peter M Cambridge University Press 978-0-521-86436-7 — Theory of Dislocations Peter M. Anderson , John P. Hirth , Jens Lothe Frontmatter More Information i Theory of Dislocations Third Edition Theory of Dislocations offers coverage of the fundamentals of line defects called disloca- tions, with applications to speciic metallic and ionic crystals. Step-by- step developments offer an in- depth understanding of the topic and a solid theoretical foundation from which to develop modeling and computational approaches to discrete dislocation plasticity. Important experimental observations related to the effects of crystal structure, temperature, nucleation mechanisms, and speciic systems are discussed. This new edition incorporates margin notes and extensive chapter summaries that highlight key concepts and develop- ments. New topics include a tensorial description of dislocation content, disconnection properties, curvature induced by dislocations, lattice Green's functions, conserved integrals, multipole representations of dislocations, stability of junctions, and discrete dislocation dynamics simulations. Each of the twenty-three chapters begins with a striking image and narrative from an international researcher that highlights a key advance or breakthrough. The text is suitable for graduate and advanced undergraduate study and includes problems at the end of each chapter. Peter M. Anderson received his ScB degree in Engineering from Brown University in 1981 and his ScM and PhD degrees in Applied Sciences from Harvard University in 1982 and 1986, respectively. Following a two- year postdoctoral fellowship at Cambridge University (UK), he joined The Ohio State University where he is currently Professor and Chair in the Department of Materials Science and Engineering. He has authored/ coauthored over one hundred articles on mechanical behavior of bulk and thin ilm materials, including a chap- ter on crystal plasticity in “Fundamentals of Metal Forming” and a set of over three hun- dred PowerPoint lecture slides that serve as an instructors’ resource for the introductory textbook, Materials Science and Engineering: An Introduction. He has held visiting positions at Brown University, National Institute of Standards and Technology, Ruhr-Universität Bochum, and Los Alamos National Laboratory, where he was Bernd T. Matthias Scholar. He is recipient of an Ofice of Naval Research Young Investigator Award, three- time recipient of the Boyer Award for Teaching Innovation, and a recipient of the Lumley Research Award. Professor John Price Hirth received his undergraduate degree from The Ohio State University in 1953 and his PhD from Carnegie Mellon University (then Carnegie Institute of Technology) in 1957. He taught at the latter institution for a short period after a postdoctor- ate year at Bristol University. He was then a professor at The Ohio State University through 1988 and at Washington State University 1988–1999, when he retired to Arizona, remain- ing afiliated with Los Alamos National Laboratory. His research has been in the areas of dislocation theory, phase transformations, and mechanical properties. In addition to many scientiic articles, he has been the coauthor of two books on these subjects. He has received a number of awards recognizing his work and is a member of the National Academy of Engineering (since 1974) and National Academy of Science (since 1994). Jens Lothe (deceased) was born in Oslo 1931 and studied physics at UiO (University of Oslo), where he received the cand. real. degree in 1956 and the dr. philos. degree in 1968. Positions at UiO included research assistant (1956– 1959); lecturer (1959– 1963); associate professor (dosent) (1963– 1972); and professor (1972– 1992). Positions while on leave from UiO included Norwegian Research Council Student at University of Bristol (1957–1958), Assistant Professor at Carnegie Institute of Technology (now Carnegie- Mellon University) (1960– 1962), and Battelle Visiting Professor at The Ohio State University (1965–1966). Professor Lothe’s research interests included nucleation theory, dislocation theory, and elastic wave theory for anisotropic media. Lothe was author or coauthor of approximately 120 papers. He was coauthor (with J. Hirth) of previous editions of Theory of Dislocations (irst edition, 1968; second edition, 1982; reprint edition, 1992). He coedited/authored (with V. L. Indenbom) Elastic Strain Fields and Dislocation Mobility, volume 31 of the series Modern Problems in Condensed Matter Sciences (1992). Lothe was a member of the Norwegian Academy of Science and Letters (since 1973). © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-86436-7 — Theory of Dislocations Peter M. Anderson , John P. Hirth , Jens Lothe Frontmatter More Information ii About the Book Cover The book cover image is the product of a competition among students and fac- ulty in the Department of Materials Science and Engineering at The Ohio State University (OSU). The objective was to create the illusion that the book itself is a dislocated crystal. The quality and number of entries received was enhanced by the adoption in 2012 of a three-semester undergraduate sequence in modeling and simulation and a graduate core course in computational materials science, taught by a cadre of faculty: Peter Anderson, Maryam Ghazisaeidi, Stephen Niezgoda, Alison Polasik, Wolfgang Windl, and Ji- Cheng Zhao. The winning image, created by third- year graduate student Daniel Buey, provides a perspective view along the core of an edge dislocation in a simple cubic crystal. The view along the spine gives the illusion that the book is only one unit cell thick. CrystalMaker software was used to create an undistorted simple cubic structure. A dislocation was then inserted by displacing the atoms according to the Volterra solution for an edge dislocation (see Eqs. 3.47, 3.48). © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-86436-7 — Theory of Dislocations Peter M. Anderson , John P. Hirth , Jens Lothe Frontmatter More Information iii THEORY OF DISLOCATIONS Third Edition PETER MARTIN ANDERSON The Ohio State University JOHN PRICE HIRTH Washington State University JENS LOTHE† Universitetet i Oslo © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-86436-7 — Theory of Dislocations Peter M. Anderson , John P. Hirth , Jens Lothe Frontmatter More Information iv One Liberty Plaza, 20th Floor, New York NY 10006, USA Cambridge University Press is part of the University of Cambridge. It furthers the University’s mission by disseminating knowledge in the pursuit of education, learning, and research at the highest international levels of excellence. www.cambridge.org Information on this title: www.cambridge.org/ 9780521864367 © Peter Anderson, John Hirth, and Jens Lothe 2017 This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. First published 2017 Printed in the United States of America by Sheridan Books, Inc. A catalogue record for this publication is available from the British Library. Library of Congress Cataloging- in- Publication Data Names: Anderson, Peter M. (Peter Martin) | Hirth, John Price, 1930– | Lothe, Jens, 1931–2016 Title: Theory of dislocations / Peter Anderson, Ohio State University, John Hirth, Washington State University, Jens Lothe, Universitetet i Oslo. Description: [2017 edition]. | Cambridge : Cambridge University Press, 2017. | Originally published: New York : McGraw-Hill, 1967. Editions published: New York : Wiley, 1982, and Malabar, FL : Krieger, 1992. | Includes bibliographical references and index. Identiiers: LCCN 2016024204 | ISBN 9780521864367 (hardback : alk. paper) Subjects: LCSH: Dislocations in crystals. | Crystals. Classiication: LCC QD921. H56 2017 | DDC 548/.842–dc23 LC record available at https://lccn.loc.gov/2016024204 ISBN 978- 0- 521- 86436- 7 Hardback Cambridge University Press has no responsibility for the persistence or accuracy of URLs for external or third- party Internet Web sites referred to in this publication and does not guarantee that any content on such Web sites is, or will remain, accurate or appropriate. © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-86436-7 — Theory of Dislocations Peter M. Anderson , John P. Hirth , Jens Lothe Frontmatter More Information v Contents Preface page xix PART I ISOTROPIC CONTINUA 1 1 INTRODUCTORY MATERIAL . 3 1.0 Key Developments 3 1.1 Introduction 4 1.2 Physical Basis for Dislocations 4 1.2a Early Work 4 1.2b Theoretical Shear Strength of a Perfect Crystal 5 1.2c Observations of Dislocations 7 1.3 Some Elementary Geometric Properties of Dislocations 9 1.3a Displacement Associated with a Dislocation 9 1.3b The Burgers Vector 11 1.3c Continuity of a Dislocation 14 1.3d Equivalent Burgers Circuits 15 1.3e Dislocation Glide Planes 16 1.4 A Tensorial Description of Dislocation Density 17 1.5 Curvature Induced by Dislocations 18 1.6 The Standard Model 19 Problems 19 Bibliography 20 2 ELASTICITY . 23 2.0 Key Developments 23 2.1 Introduction 24 2.2 Classical Linear Elasticity 24 2.2a Fundamental Equations 24 2.2b Contracted Notation 29 2.3 Transformation of Tensorial Components 31 2.4 Isotropic Elastic Solids 34 2.5 Plane Strain and Anti- Plane Strain 36 2.6
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