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Finite Element Method

Finite Element Method

Its Basis & Fundamentals

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

734 pages, parution le 16/06/2005 (6eme édition)

Résumé

Anyone serious about the finite element method cannot afford to be without this introductory book

The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms.

  • The classic FEM text, written by the subject's leading authors
  • Enhancements include materials to assist in learning basic theory, more worked examples and exercises, plus a companion website with a solutions manual and downloadable codes
  • A new chapter on automatic mesh generation and added materials on shape function development, the direct physical approach to the solution of elasticity problems, expanded description to solve multidomain approximations and the use of higher order elements in solving elasticity and field problems

The Finite Element Method maintains the comprehensive style of earlier editions and presents a systematic approach to the solution of problems modelled by linear differential equations.

Together with the second and third self-contained volumes, The Finite Element Method Set provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics.

L'auteur - O. C. Zienkiewicz

O.C. Zienkiewicz is Professor Emeritus at the Civil and Computational Engineering Centre, University of Wales Swansea, UK and holds the UNESCO Chair of Numerical Methods in Engineering at the Technical University of Catalunya, Spain

L'auteur - R. L. Taylor

R.L. Taylor is a Professor in the Graduate School, Department of Civil Engineering and Environmental Engineering at the University of California, Berkeley, USA

L'auteur - J. Z. Zhu

J.Z. Zhu is Senior Scientist at ESI US R&D Inc., USA

Sommaire

  • Preface
  • The standard discrete system and origins of the finite element method
  • A direct approach to problems in elasticity: plane stress
  • Generalization of the finite element concepts. Galerkin-weighted residual and variational approaches
  • "Standard" and "hierarchical" element shape functions: some general families of Co continuity
  • Mapped elements and numerical integration - "infinite" and "singularity elements"
  • Problems in linear elasticity
  • Field problems - heat conduction, electric and magnetic potential and fluid flow
  • Automatic mesh generation
  • The patch test, reduced integration, and non-conforming elements
  • Mixed formulation and constraints - complete field methods
  • Incompressible problems, mixed methods and other procedures of solution
  • Multidomain mixed approximations - domain decomposition and "frame" methods
  • Adaptive finite element refinement
  • Point-based and partition of unity approximations. Extended finite element 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
  • Appendix A: Matrix Algebra
  • Appendix B: Tensor-indicial notation in the approximation of elasticity problems
  • Appendix C: Solution of simultaneous linear algebraic equations
  • Appendix D: Some integration formulae for a triangle
  • Appendix E: Some integration formulae for a tetrahedron
  • Appendix F: Some vector algebra
  • Appendix G: Integration by parts in two or three dimensions (Green's theorem)
  • Appendix H: Solutions exact at nodes
  • Appendix I: Matrix diagonalization or lumping
  • Author index
  • Subject index
Voir tout
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Caractéristiques techniques

  PAPIER
Éditeur(s) Elsevier
Auteur(s) O. C. Zienkiewicz, R. L. Taylor, J. Z. Zhu
Parution 16/06/2005
Édition  6eme édition
Nb. de pages 734
Format 17,5 x 25
Couverture Relié
Poids 1344g
Intérieur Noir et Blanc
EAN13 9780750663205
ISBN13 978-0-7506-6320-5

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