The Finite Element Method
Its Basis and Fundamentals, 7/ed

 

 by :

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

 Press :

 Butterworth-Heinemann

 Year :

 2013

 Binding :

 Hardback

 ISBN (13) :

 9781856176330

 ISBN (10) :

 1856176339

 Pages :

 714

 Size :

 20 x 24

 Price :

 $ 150.00

 

 

 

Overview

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 books 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.

Contents


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. Automative Mesh Generation
18. Computer Procedures for Finite Element Analysis
Appendices
A. Matrix Algebra
B. Some Vector Algebra
C. Tensor-Indicial 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 (Greens Theorem)
G. Solutions Exact at Nodes
H. Matrix Diagonalization or Lumping

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