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The Finite Element Method: Its Basis and Fundamentals

The foremost introduction to FEM that no serious engineer concerned with finite elements should be without

Olek C Zienkiewicz (Author), Robert L. Taylor (Author)

9781856176330, Elsevier Science

Hardback, published 2 October 2013

756 pages
23.4 x 19 x 3.9 cm, 1.62 kg

"...this is a book that you simply cannot afford to be without." --INTERNATIONAL JOURNAL OF NUMERICAL METHODS IN 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.

Some Preliminaries: The Standard Discrete System
A Direct Physical Approach to Problems in Elasticity
Generalization of the Finite Element Concepts
Galerkin-Weighted Residual and Variational Approaches
'Standard’ and ‘hierarchical’ Element Shape Functions: Some General Families of Continuity
Mapped Elements and Numerical Integration – ‘Infinite’ and ‘Singularity’ Elements
Two Dimensional Problems in Plane Stress, Plane Strain and Axisymmetric Elasticity
Steady-State Field Problems
Three-Dimensional Elasticity and Field Problems
Mesh Generation
The Patch Test
Mixed Formulation and Constraints – Complete Field Methods
Incompressible Materials
Mixed Formulation and Constraints
Errors, Recovery Processes and Error Estimates
Adaptive Finite Element Refinement
Point-Based Approximations – Meshless Methods
The Time Dimension – Semi-discretization of Field and Dynamic Problems and Analytical Solution Procedures
The Time Dimension – Discrete Approximation in Time
Coupled Systems
Computer Procedures for Finite Element Analysis
Matrix Algebra
Tensor-Indicial Notation in the Approximation of Elasticity Problems
Basic Equations of Displacement Analysis
Some Integration Formulae for a Triangle
Some Integration Formulae for a Tetrahedron
Some Vector Algebra
Integration by Parts in Two and Three Dimensions (Green’s Theorem)
Solutions Exact at Nodes
Matrix Diagonalization or Lumping

Subject Areas: Mechanical engineering [TGB], Maths for engineers [TBJ], Technology: general issues [TB]

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