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:
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.
1. Cover image - p. Cover 2. Title page - p. Cover 3. Table of Contents - p. Cover 4. Author Biography - p. Cover 5. Copyright - p. Cover 6. Dedication - p. IV 7. List of Figures - p. V 8. List of Tables - p. XXXI 9. Preface - p. XXXIV 10. Chapter 1. The Standard Discrete System and Origins of the Finite Element Method - p. XXXVIII 11. Chapter 2. Problems in Linear Elasticity and Fields - p. 20 12. Chapter 3. Weak Forms and Finite Element Approximation: 1-D Problems - p. 45 13. Chapter 4. Variational Forms and Finite Element Approximation: 1-D Problems - p. 92 14. Chapter 5. Field Problems: A Multidimensional Finite Element Method - p. 113 15. Chapter 6. Shape Functions, Derivatives, and Integration - p. 149 16. Chapter 7. Elasticity: Two- and Three-Dimensional Finite Elements - p. 209 17. Chapter 8. The Patch Test, Reduced Integration, and Nonconforming Elements - p. 255 18. Chapter 9. Mixed Formulation and Constraints: Complete Field Methods - p. 284 19. Chapter 10. Incompressible Problems, Mixed Methods, and Other Procedures of Solution - p. 314 20. Chapter 11. Multidomain Mixed Approximations - p. 359 21. Chapter 12. The Time Dimension: Semi-Discretization of Field and Dynamic Problems - p. 378 22. Chapter 13. Plate Bending Approximation: Thin and Thick Plates - p. 405 23. Chapter 14. Shells as a Special Case of Three-Dimensional Analysis - p. 466 24. Chapter 15. Errors, Recovery Processes, and Error Estimates - p. 491 25. Chapter 16. Adaptive Finite Element Refinement - p. 543 26. Chapter 17. Automatic Mesh Generation - p. 572 27. Chapter 18. Computer Procedures for Finite Element Analysis - p. 640 28. Appendix A: Matrix Algebra - p. 645 29. Appendix B: Some Vector Algebra - p. 653 30. Appendix C: Tensor-Indicial Notation in the Approximation of Elasticity Problems - p. 659 31. Appendix D: Solution of Simultaneous Linear Algebraic Equations - p. 670 32. Appendix E: Triangle and Tetrahedron Integrals - p. 679 33. Appendix F: Integration by Parts in Two or Three Dimensions (Green’s Theorem) - p. 682 34. Appendix G: Solutions Exact at Nodes - p. 684 35. Appendix H: Matrix Diagonalization or Lumping - p. 687 36. Author Index - p. 695 37. Subject Index - p. 695
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:
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.
1. Cover image - p. Cover 2. Title page - p. Cover 3. Table of Contents - p. Cover 4. Author Biography - p. Cover 5. Copyright - p. Cover 6. Dedication - p. IV 7. List of Figures - p. V 8. List of Tables - p. XXXI 9. Preface - p. XXXIV 10. Chapter 1. The Standard Discrete System and Origins of the Finite Element Method - p. XXXVIII 11. Chapter 2. Problems in Linear Elasticity and Fields - p. 20 12. Chapter 3. Weak Forms and Finite Element Approximation: 1-D Problems - p. 45 13. Chapter 4. Variational Forms and Finite Element Approximation: 1-D Problems - p. 92 14. Chapter 5. Field Problems: A Multidimensional Finite Element Method - p. 113 15. Chapter 6. Shape Functions, Derivatives, and Integration - p. 149 16. Chapter 7. Elasticity: Two- and Three-Dimensional Finite Elements - p. 209 17. Chapter 8. The Patch Test, Reduced Integration, and Nonconforming Elements - p. 255 18. Chapter 9. Mixed Formulation and Constraints: Complete Field Methods - p. 284 19. Chapter 10. Incompressible Problems, Mixed Methods, and Other Procedures of Solution - p. 314 20. Chapter 11. Multidomain Mixed Approximations - p. 359 21. Chapter 12. The Time Dimension: Semi-Discretization of Field and Dynamic Problems - p. 378 22. Chapter 13. Plate Bending Approximation: Thin and Thick Plates - p. 405 23. Chapter 14. Shells as a Special Case of Three-Dimensional Analysis - p. 466 24. Chapter 15. Errors, Recovery Processes, and Error Estimates - p. 491 25. Chapter 16. Adaptive Finite Element Refinement - p. 543 26. Chapter 17. Automatic Mesh Generation - p. 572 27. Chapter 18. Computer Procedures for Finite Element Analysis - p. 640 28. Appendix A: Matrix Algebra - p. 645 29. Appendix B: Some Vector Algebra - p. 653 30. Appendix C: Tensor-Indicial Notation in the Approximation of Elasticity Problems - p. 659 31. Appendix D: Solution of Simultaneous Linear Algebraic Equations - p. 670 32. Appendix E: Triangle and Tetrahedron Integrals - p. 679 33. Appendix F: Integration by Parts in Two or Three Dimensions (Green’s Theorem) - p. 682 34. Appendix G: Solutions Exact at Nodes - p. 684 35. Appendix H: Matrix Diagonalization or Lumping - p. 687 36. Author Index - p. 695 37. Subject Index - p. 695
