The Finite Element Method: Its Basis and Fundamentals / Edition 7

The Finite Element Method: Its Basis and Fundamentals / Edition 7

by Olek C Zienkiewicz
     
 

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ISBN-10: 1856176339

ISBN-13: 9781856176330

Pub. Date: 09/05/2013

Publisher: Elsevier Science

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

Overview

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.

  • 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.

Product Details

ISBN-13:
9781856176330
Publisher:
Elsevier Science
Publication date:
09/05/2013
Edition description:
New Edition
Pages:
756
Sales rank:
1,195,881
Product dimensions:
7.50(w) x 9.40(h) x 1.40(d)

Table of Contents

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

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