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Key Features 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. Description 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 Multidimensional 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 elementbased engineering analysis. 

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: 1D Problems 4. Variational Forms and Finite Element Approximation: 1D Problems 5. Field Problems: A Multidimensional Finite Element Method 6. Shape Functions, Derivatives, and Integration 7. Elasticity: Two and ThreeDimensional 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: SemiDiscretization of Field and Dynamic Problems 13. Plate Bending Approximation: Thin and Thick Plates 14. Shells as a Special Case of ThreeDimensional Analysis 15. Errors, Recovery Processes, and Error Estimates 16. Adaptive Finite Element Refinement 17. Automative Mesh Generation 18. Computer Procedures for Finite Element Analysis Appendices A. Matrix Algebra B. Some Vector Algebra C. TensorIndicial Notation in the Approximation of Elasticity Problems D. Solution of Simultaneous Linear Algebraic Equations E. Triangle and Tetrahedron Integrals F. Integration by Parts in Two or Three Dimensions (Green¡¯s Theorem) G. Solutions Exact at Nodes H. Matrix Diagonalization or Lumping 
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