D y n a m i c B e h a v i o r aterials Marc A. Meyers DYNAMIC BEHAVIOR OF MATERIALS Dynamic Behavior of Materials. M. A. Meyers Copyright © 1994 John Wiley & Sons, Inc. DYNAMIC BEHAVIOR OF MATERIALS Marc Andre Meyers University of California, San Diego A WILEY-INTERSCIENCE PUBLICATION JOHN WILEY & SONS, INC. New York • Chichester • Brisbane • Toronto • Singapore A NOTE TO THE READER This book has been electronically reproduced from digital information stored at Jolm Wiley & Sons, Inc. We are pleased that the use of this new teclmology will enable us to keep works of enduring scholarly value in print as long as there is a reasonable demand for them. The content of this book is identical to previous printings. This text is printed on acid-free paper. Copyright © 1994 by John Wiley & Sons, Inc. All rights reserved. Published simultaneously in Canada. Reproduction or translation of any part of this work beyond that permitted by Section 107 or 108 of the 1976 United States Copyright Act without the permission of the copyright owner is unlawful. Requests for permission or further information should be addressed to the Permissions Department, John Wiley & Sons, Inc., 605 Third Avenue, New York, NY 10158-0012. Library of Congress Calologing in Publication Data: Meyers, Marc A. Dynamic behavior of materials/Marc A. Meyers. p. cm. Includes bibliographical references. ISBN 0-471-58262-X I. Deformations (Mechanics) 2. Materials-Mechanical properties. 3. Micromechanics. I. Title. TA417.6.M49 1994 620.1'123-dc20 93-33109 Lovingly dedicated to the memory of my father, Henri Meyers. BLUE WAVES Soldiers who dream of wars Mothers who dream of milk Lovers their dreams are sweet. But I, I dream of blue Blue waves merging thought and skies Blue waves drowning in the sea Blue waves in your blue eyes. Shelly Bustamante ''Chronicles of the Higher Seas'' GOLNAZ OF THE NIGHT Golnaz of the night In the curl of your hair In the curve of your neck In the scent of your skin In your eyes full of li(v)es. And the wave of your tigh That meets my embrace In the folds of the night And my pain and my pride On the sands of this tide. The sand is so true Not mine but the wave's Not now but for ages And so are you dear As the sand by my fingers You will flow to the wave Leaving only my longing And my pain and my pride. Amdur Hafez ''Poems for a Last Love'' PREFACE This book has a simple objective: to provide the reader (typically, an engi neering student, engineer, or a materials scientist) with a working knowledge of dynamic events in materials. It presents theory, experimentation, and ap plications in a balanced way. It contains example problems throughout the chapters. It is directed at an engineering/science student with either senior or graduate standing with a working knowledge of calculus; derivations are pa tiently worked out in a step-by-step manner, and elegance has been sacrificed for ease of comprehension. The sequence of topics progresses from the me chanics of high-strain-rate deformation (primarily, but not exclusively, elastic, plastic, shock, and detonation waves) to the dynamic response of materials (constitutive models, shear instabilities, dynamic fracture). The last chapter addresses the various topics of technological importance in a broad way, de veloping, where appropriate, the most fundamental quantitative treatment. The topics have not been covered in an exhaustive manner, and a great deal of important work has been left out for the sake of conciseness. The references at the end of the chapters provide some additional information. The study of dynamic processes in materials has been intensively carried out, especially since World War 11, at major research laboratories throughout the world. Many thousands of research papers have been published in these past 50 years, and this author was forced to ignore a great fraction of this work. This is primarily a textbook, and no attempt has been made to cover the field exhaustively; thus, important contributions have been overlooked. This book represents the response to a need clearly felt among students by this author for the past 20 years. Most scientists/engineers entering this field acquire their knowledge through an informal learning process, consisting of seminars, verbal discussions, monographs, and research papers. This is a lengthy and inefficient process, and the development of formal courses in which the topics are presented in a unified and sequential manner presents enormous advantages. This book was developed as a senior level/graduate text, and the material can be comfortably (and integrally) covered in a two-semester se quence. The book was the outgrowth of class notes developed at the Military Institute of Engineering, (Brazil), the New Mexico Institute of Mining and Technology, and the University of California, San Diego (UCSD). It is biased ix X PREFACE to the author's scientific interests and uses, in a disproportionate manner, ex amples from the author's research work. Nevertheless, an attempt was made to retain the generality and breadth needed to make it useful to a wide com munity. It is well suited for short courses to be taught to engineers/scientists in defense/ordnance laboratories. The writing of this book would not have been possible without the help provided by colleagues and students. I was "baptized" at age 12, when I managed to initiate a detonator and lacerate my hands and face. In the Army, Captain Mendon~a continued my education, and I felt the intense rush and ecstasy of TNT explosions. We would, after removing the casing, approach the detonation as much as possible to photograph the event. At the University of Denver, R. N. Orava initiated me into this esoteric science, and I owe him a great deal. He patiently guided me through my initial stumblings in this field. L. E. Murr played a key role in my professional development. He enabled my most fruitful nine-year tenure at New Mexico Tech by attracting me to Socorro. He laid the groundwork for shock-wave research at that institution and I con tinued his endeavor. The great help given by Jaimin Lee (Taejon, South Korea) should not go unmentioned. He taught me many aspects of wave propagation. Equally helpful was· Masatake Yo shida (National Chemical Laboratory for In dustry; Japan), whose MYIDL code is an important teaching tool. Drs. N. N. Thadhani; L. H. Leme Louro; A. Ferreira; U. Andrade; S. L. Wang; S. N. Chang; L. H. Yu, J. C. LaSalvia, Mrs. D. A. Hoke, H. C. Chen, and S. S. Shang; and Y. J. Chen, S. Christy, C. Wittman, C. Y. Hsu, and K. C. Hsu were intelligent and dedicated students. N. N. Thadhani taught this course with me in Socorro and provided valuable input. At UCSD, I was fortunate to meet a bright young scholar, G. Ravichandran. He was of great value and his input can be seen throughout this book. Collaborations with D. Benson, A. H. Chok shi, J. Isaacs, S. Nemat-Nasser, J. Starrett, and K. S. Vecchio are gratefully acknowledged. At Sandia National Laboratories, the interactions and constant admonitions of R. Graham (" ... experiments have to be quantitative and reproducible ... ") were precious and encouraged me to pursue this subject further. While at the Army Research Office, the leadership and guidance pro vided by George Mayer were essential in helping me to formulate a broader picture of the field; I owe him a great debt of gratitude. The many discussions with K. Iyer have also been, throughout these past years, a source of stimu lation. Many collaborators, from EOD (Explosives and Ordnance Disposal) tech nicians to graduate students and from secretaries to program managers, are not mentioned here. However, they have all contributed to this endeavor for which I, solely, will be recognized. To all of them, my gratitude. In addition, I asked a group of colleagues to review this manuscript and am very thankful for their criticism and input: D. Benson reviewed and rewrote Section 6.6; R. Graham reviewed Chapter 8; K. H. Oh reviewed Chapter 5; K. Iyer reviewed Chapter 17; R. J. Clifton reviewed Chapter 3; V. F. Nesterenko reviewed the manu script from cover to cover and improved it considerably. PREFACE Xi Last, but not least, I thank the competent typing of Kay Baylor and Tina Casso. The Army Research Office (A. Crowson, E. S. Chen, W. Simmons) and National Science Foundation (R. J. Reynik and B. MacDonald) generously supported me for the past 15 years; 15 more years are needed for completion of the opus. La Jolla, California January 1994