The Finite Element Method: Its Basis and Fundamentals, 7th Edition

  • Published By:
  • ISBN-10: 008095135X
  • ISBN-13: 9780080951355
  • DDC: 620.001515
  • Grade Level Range: College Freshman - College Senior
  • 756 Pages | eBook
  • Original Copyright 2013 | Published/Released June 2014
  • This publication's content originally published in print form: 2013

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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. 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

Front Cover.
Half Title Page.
Other Frontmatter.
Title Page.
Copyright Page.
Dedication Page.
List of Figures.
List of Tables.
1: The Standard Discrete System and Origins of the Finite Element Method.
2: Problems in Linear Elasticity and Fields.
3: Weak Forms and Finite Element Approximation: 1-D Problems.
4: Variational Forms and Finite Element Approximation: 1-D Problems.
5: Field Problems: A Multidimensional Finite Element Method.
6: Shape Functions, Derivatives, and Integration.
7: Elasticity: Two- and Three-Dimensional Finite Elements.
8: The Patch Test, Reduced Integration, and Nonconforming Elements.
9: Mixed Formulation and Constraints: Complete Field Methods.
10: Incompressible Problems, Mixed Methods, and Other Procedures of Solution.
11: Multidomain Mixed Approximations.
12: The Time Dimension: Semi-Discretization of Field and Dynamic Problems.
13: Plate Bending Approximation: Thin and Thick Plates.
14: Shells as a Special Case of Three-Dimensional Analysis.
15: Errors, Recovery Processes, and Error Estimates.
16: Adaptive Finite Element Refinement.
17: Automatic Mesh Generation.
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.