The Finite Element Method Set

The Finite Element Method Set

6th Edition - November 25, 2005

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  • Authors: O. C. Zienkiewicz, R. L. Taylor
  • eBook ISBN: 9780080531670

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The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics.

Key Features

* This is THE classic finite element method set, by two the subject's leading authors
* FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books
* Fully up-to-date; ideal for teaching and reference


Senior students, researchers and practicing engineers in mechanical, automotive, aeronautical and civil engineering. Key topic for applied mathematicians and engineering software developers.

Table of Contents

  • Volume 1: Basis and Fundamentals (0750663200)

    The standard discrete system and origins of the finite element method; A direct physical approach to problems in elasticity: plane stress; Generalization of finite element concepts; Element shape functions; Mapped elements and numerical integration; Linear elasticity; Field problems; Automatic mesh generation; The patch test and reduced integration; Mixed formulation and constraints; Incompressible problems, mixed methods and other procedures of solution; Multidomain mixed approximations - domain decomposition and 'frame' methods; Errors, recovery processes and error estimates; Adaptive finite element refinement; Point-based and partition of unity approximations; Semi-discretization and analytical solution; Discrete approximation in time; Coupled systems; Computer procedures for finite element analysis; Appendices

    Volume 2: Solid and Structural Mechanics (0750663219)

    General Problems in solid mechanics and non-linearity; Galerkin method of approximation - irreducible and mixed forms; Solution of non-linear algebraic equations; Inelastic and non-linear materials; Geometrically non-linear problems - finite deformation; Material constitution for finite deformation; Treatment of Constraints - contact and tied interfaces; Pseudo-Rigid & Rigid-Flexible Bodies; Discrete element methods; Structural Mechanics Problems in One Dimension - rods; Plate Bending Approximation; Thick Reissner-Mindlin Plates -Irreducible & Mixed Formulations; Shells as an assembly of flat elements; Curved rods and axisymmetric shells; Shells as a special case of three-dimensional analysis; Semi-analytical finite element processes; Non-linear structural processes - large displacement and instability; Multiscale modelling; Computer procedures for finite element analysis; Appendices

    Volume 3: Fluid Dynamics (0750663227)

    Introduction to the equations of fluid dynamics and the finite element approximation; Convection dominated problems – finite element approximations to the convection–diffusion-reaction equation; The characteristic-based split (CBS) algorithm. A general procedure for compressible and incompressible flow; Incompressible Newtonian laminar flows; Incompressible non-Newtonian flows; Free surface and buoyancy driven flows; Compressible high-speed gas flow; Turbulent flows; Flow through porous media; Shallow water problems; Long and medium waves; Short waves; Computer implementation of the CBS algorithm; Appendices

Product details

  • No. of pages: 1872
  • Language: English
  • Copyright: © Butterworth-Heinemann 2005
  • Published: November 25, 2005
  • Imprint: Butterworth-Heinemann
  • eBook ISBN: 9780080531670

About the Authors

O. C. Zienkiewicz

O. C. Zienkiewicz was one of the early pioneers of the finite element method and is internationally recognized as a leading figure in its development and wide-ranging application. He was awarded numerous honorary degrees, medals and awards over his career, including the Royal Medal of the Royal Society and Commander of the British Empire (CBE). He was a founding author of The Finite Element Method books and developed them through six editions over 40 years up to his death in 2009. Previous positions held by O.C. Zienkiewicz include UNESCO Professor of Numerical Methods in Engineering at the International Centre for Numerical Methods in Engineering, Barcelona, Director of the Institute for Numerical Methods in Engineering at the University of Wales, Swansea, U.K.

Affiliations and Expertise

Finite element method pioneer and former UNESCO Professor of Numerical Methods in Engineering, Barcelona, Spain

R. L. Taylor

R.L Taylor is Professor of the Graduate School at the Department of Civil and Environmental Engineering, University of California at Berkeley, USA. Awarded the Daniel C. Drucker Medal by the American Society of Mechanical Engineering in 2005, the Gauss-Newton Award and Congress Medal by the International Association for Computational Mechanics in 2002, and the Von Neumann Medal by the US Association for Computational Mechanics in 1999.

Affiliations and Expertise

Emeritus Professor of Engineering, University of California, Berkeley, USA.

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