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+
+# PREFACE
+
+The finite element method is firmly established as a powerful and popular analysis tool. It is applied to many different problems of continua but is most widely used for structural mechanics. Accordingly, structural mechanics is emphasized in this book, with lesser excursions into other areas such as heat conduction.
+
+The finite element literature is very large. In a book this size it would scarcely be possible even to list all publications, let alone discuss all useful procedures. This text is introductory and is oriented more toward the eventual practitioner than toward the theoretician. The book contains enough material for a two-semester course.
+
+We assume that the reader has the following background. Undergraduate courses in calculus, statics, dynamics, and mechanics of materials must be mastered. Matrix operations (summarized in Appendix A) must be understood. More advanced studies—theory of elasticity, energy methods, numerical analysis, and so on—are not essential. Occasionally these studies must be called upon, but only for their elementary concepts.
+
+The specific elements discussed are often quite good, but we do not claim that they are the best available. Rather, these elements illustrate useful concepts and procedures. Similarly, blocks of Fortran code in the book illustrate the steps of an element formulation, of an algorithm for equation solving, or of finite element bookkeeping, but they may not be the most efficient coding available. These blocks of code can form the basis of various semester projects if so desired. However, the principal purpose of most of these blocks of code is to state precisely the content of certain procedures, and they thereby serve as aids to understanding.
+
+Software entitled FEMCOD is intended for use with the book. FEMCOD is a “framework” program for time-independent finite element analysis: it provides the machinery for input of data, assembly of elements, assignment of loads and boundary conditions, and solution of equations. The user may supply coding for a particular element and for postprocessing (such as stress calculation). To institutions that adopt this textbook, FEMCOD, with instructions for use and examples, is available on diskette from the publisher (John Wiley & Sons, Inc., 605 Third Avenue, New York, N.Y., 10158).
+
+Our presentation of structural dynamics is based partially on the finite element course notes of Ted Belytschko. We gratefully acknowledge his advice and assistance. The inspiration for the discussion of optimal lumping came originally from Isaac Fried. We are also grateful to T. J. R. Hughes, W. K. Liu, and V. Snyder for their insights. Not the least of our thanks is to Beth Brown, who typed and retyped with her usual intelligence and dependability, despite substantial other commitments, and without ever suggesting that the task might be tiresome.
+
+Madison, Wisconsin
+
+October 1988
+
+R. D. Cook
+
+D. S. MALKUS
+
+M. E. PLESHA
+
+<!-- source-page: 2 -->
+
+1. 2017年1月1日，公司与上海浦东发展银行股份有限公司签订了《最高额保证合同》，约定在2017年1月1日（含）内履行了保证责任。
+
+<!-- source-page: 3 -->
+
+CONCEPTS
+
+AND
+
+APPLICATIONS
+
+OF
+
+FINITE ELEMENT ANALYSIS
+
+DSY
+
+<!-- source-page: 4 -->
+
+$$
+\begin{array}{r}\cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ \cdots \\ 1 \end{array}
+$$
+
+<!-- source-page: 5 -->
+
+# CONCEPTS
+
+# AND
+
+# APPLICATIONS
+
+# OF
+
+# FINITE ELEMENT ANALYSIS
+
+THIRD EDITION
+
+ROBERT D. COOK
+
+DAVID S. MALKUS
+
+HAEL E. PLESHA
+
+and :
+
+Wisconsin--Madison, His res
+
+el-rem method to probl
+
+flow covercity of Wisconsin—Madison
+
+<!-- source-page: 6 -->
+
+![](images/page-006_a45620d97abb66febdab30a3152ac19692725a48a076e2bb885881164705379c.jpg)
+
+<details>
+<summary>text_image</summary>
+
+THIRD TO
+</details>
+
+HOOH
+DIVAO
+BAF
+M
+M
+
+247076
+
+TA646 C66 1989 METU LIBRAJ
+
+Copyright © 1974, 1981, 1989, by John Wiley & Sons, Inc.
+
+All rights reserved. Published simultaneously in Canada.
+
+![](images/page-006_db5464dda7dcbf094a0c78b63809388c0a34976ebd052fbc61da41aa5228eb01.jpg)
+
+Reproduction or translation of any part of this work beyond that permitted by Sections 107 and 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.
+
+Library of Congress Cataloging in Publication Data:
+
+Cook, Robert Davis.
+
+Concepts and applications of finite element analysis.
+
+Bibliography: p.
+
+Includes index.
+
+1. Structural analysis (Engineering) 2. Finite element method. I. Malkus, David S. II. Plesha, Michael E. III. Title.
+
+TA646.C66 1989 624.1'71 88-27929
+
+<!-- source-page: 7 -->
+
+# About the Authors
+
+Robert D. Cook received his Ph.D. degree from the University of Illinois in 1963. He then went to the University of Wisconsin—Madison, where he is Professor of Engineering Mechanics. His research interests include stress analysis and finite element methods. He is a member of the American Society of Mechanical Engineers. With Warren C. Young, he is coauthor of Advanced Mechanics of Materials (Macmillan, 1985).
+
+The first edition of Concepts and Applications of Finite Element Analysis was published in 1974 and the second in 1981, both with Dr. Cook as sole author.
+
+David S. Malkus received his Ph.D. from Boston University in 1976. He spent two years at the National Bureau of Standards and seven years in the Mathematics Department of Illinois Institute of Technology. He is now Professor of Engineering Mechanics and a professor in the Center for Mathematical Sciences at the University of Wisconsin—Madison. His research interests concern the application of the finite element method to problems of structural and continuum mechanics, in particular the flow of non-Newtonian fluids. He is a member of the Rheology Research Center (University of Wisconsin—Madison), the American Academy of Mechanics, the Society for Industrial and Applied Mathematics, and the Society of Rheology.
+
+Michael E. Plesha received his B.S. degree from the University of Illinois at Chicago, and his M.S. and Ph.D. degrees from Northwestern University, the Ph.D. degree in 1983. After a short stay at Michigan Technological University, he joined the Engineering Mechanics Department at the University of Wisconsin—Madison, where he is an associate professor. His research interests include constitutive modeling and finite element analysis of contact-friction problems, transient finite element analysis, and geomechanics.
+
+<!-- source-page: 8 -->
+
+<!-- source-page: 9 -->
+
+# PREFACE
+
+The finite element method is firmly established as a powerful and popular analysis tool. It is applied to many different problems of continua but is most widely used for structural mechanics. Accordingly, structural mechanics is emphasized in this book, with lesser excursions into other areas such as heat conduction.
+
+The finite element literature is very large. In a book this size it would scarcely be possible even to list all publications, let alone discuss all useful procedures. This text is introductory and is oriented more toward the eventual practitioner than toward the theoretician. The book contains enough material for a two-semester course.
+
+We assume that the reader has the following background. Undergraduate courses in calculus, statics, dynamics, and mechanics of materials must be mastered. Matrix operations (summarized in Appendix A) must be understood. More advanced studies—theory of elasticity, energy methods, numerical analysis, and so on—are not essential. Occasionally these studies must be called upon, but only for their elementary concepts.
+
+The specific elements discussed are often quite good, but we do not claim that they are the best available. Rather, these elements illustrate useful concepts and procedures. Similarly, blocks of Fortran code in the book illustrate the steps of an element formulation, of an algorithm for equation solving, or of finite element bookkeeping, but they may not be the most efficient coding available. These blocks of code can form the basis of various semester projects if so desired. However, the principal purpose of most of these blocks of code is to state precisely the content of certain procedures, and they thereby serve as aids to understanding.
+
+Software entitled FEMCOD is intended for use with the book. FEMCOD is a “framework” program for time-independent finite element analysis: it provides the machinery for input of data, assembly of elements, assignment of loads and boundary conditions, and solution of equations. The user may supply coding for a particular element and for postprocessing (such as stress calculation). To institutions that adopt this textbook, FEMCOD, with instructions for use and examples, is available on diskette from the publisher (John Wiley & Sons, Inc., 605 Third Avenue, New York, N.Y., 10158).
+
+Our presentation of structural dynamics is based partially on the finite element course notes of Ted Belytschko. We gratefully acknowledge his advice and assistance. The inspiration for the discussion of optimal lumping came originally from Isaac Fried. We are also grateful to T. J. R. Hughes, W. K. Liu, and V. Snyder for their insights. Not the least of our thanks is to Beth Brown, who typed and retyped with her usual intelligence and dependability, despite substantial other commitments, and without ever suggesting that the task might be tiresome.
+
+Madison, Wisconsin
+
+October 1988
+
+R. D. Cook
+
+D. S. MALKUS
+
+M. E. PLESHA
+
+<!-- source-page: 10 -->
+
+1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. 61. 62. 63. 64. 65. 66. 67. 68. 69. 70. 71. 72. 73. 74. 75. 76. 77. 78. 79. 80. 81. 82. 83. 84. 85. 86. 87. 88. 89. 90. 91. 92. 93. 94. 95. 96. 97. 98. 99. 100.