The Finite Element Method: Its Basis and Fundamentals

Olek C Zienkiewicz, Robert L. Taylor, O. C. Zienkiewicz, R. L. Taylor, Robert L Taylor, J.Z. Zhu

• Publisher: Butterworth-Heinemann
• Year: 2013
• Edition: 7
• eBook ISBN:
  9780080951355
• Topic: Technology & Engineering
• Subtopic: Applied Mathematics
• Index: Technology & Engineering

The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book's content to enable clearer development of the finite element method, with major new chapters and sections added to cover: - Weak forms - Variational forms - Multi-dimensional field problems - Automatic mesh generation - Plate bending and shells - Developments in meshless techniques Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis. - A proven keystone reference in the library of any engineer needing to understand and apply the finite element method in design and development - Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience - Features reworked and reordered contents for clearer development of the theory, plus new chapters and sections on mesh generation, plate bending, shells, weak forms and variational forms

Table of contents

• Cover image
• Title page
• Table of Contents
• Author Biography
• Copyright
• Dedication
• List of Figures
• List of Tables
• Preface
• Chapter 1. The Standard Discrete System and Origins of the Finite Element Method
• Chapter 2. Problems in Linear Elasticity and Fields
• Chapter 3. Weak Forms and Finite Element Approximation: 1-D Problems
• Chapter 4. Variational Forms and Finite Element Approximation: 1-D Problems
• Chapter 5. Field Problems: A Multidimensional Finite Element Method
• Chapter 6. Shape Functions, Derivatives, and Integration
• Chapter 7. Elasticity: Two- and Three-Dimensional Finite Elements
• Chapter 8. The Patch Test, Reduced Integration, and Nonconforming Elements
• Chapter 9. Mixed Formulation and Constraints: Complete Field Methods
• Chapter 10. Incompressible Problems, Mixed Methods, and Other Procedures of Solution
• Chapter 11. Multidomain Mixed Approximations
• Chapter 12. The Time Dimension: Semi-Discretization of Field and Dynamic Problems
• Chapter 13. Plate Bending Approximation: Thin and Thick Plates
• Chapter 14. Shells as a Special Case of Three-Dimensional Analysis
• Chapter 15. Errors, Recovery Processes, and Error Estimates
• Chapter 16. Adaptive Finite Element Refinement
• Chapter 17. Automatic Mesh Generation
• Chapter 18. Computer Procedures for Finite Element Analysis
• Appendix A: Matrix Algebra
• Appendix B: Some Vector Algebra
• Appendix C: Tensor-Indicial Notation in the Approximation of Elasticity Problems
• Appendix D: Solution of Simultaneous Linear Algebraic Equations
• Appendix E: Triangle and Tetrahedron Integrals
• Appendix F: Integration by Parts in Two or Three Dimensions (Green’s Theorem)
• Appendix G: Solutions Exact at Nodes
• Appendix H: Matrix Diagonalization or Lumping
• Author Index
• Subject Index