The Finite Element Method, The Basis (Volume 1)

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9780470395042: The Finite Element Method, The Basis (Volume 1)

  • New material on recovery, accuracy, error estimates and adaptivity.
  • Increased coverage of mixed and hybrid methods including the Discontinuous Galerkin and Enhanced Strain Methods.
  • Expanded chapter on incompressible behaviour and stabilization procedures.
  • Up to date coverage of meshless (element free) methods.

"...the publication of the first edition was an epoch making is written by...the greatest theorist of the subject. If you are serious about finite elements, this is a book that you simply cannot afford to be without." International Journal of Numerical Methods in Engineering. "...the pre-eminent reference work on finite element analysis." Applied Mechanical Review. "...a very good book...presentation is first class...will be of great assistance to all engineers and scientists interested in the method...a very commendable piece of work.—"Journal of the British Society for Strain Measurement.

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From the Inside Flap:

In the years since the fourth edition of this seminal work was published, active research has further developed the Finite Element Method into the pre-eminent tool for the modelling of physical systems. Written by the pre-eminent professors in their fields, this new edition of the Finite Element Method maintains the comprehensive style of the earlier editions and authoritatively incorporates the latest developments of this dynamic field. Expanded to three volumes the book now covers the basis of the method and its application to advanced solid mechanics and also advanced fluid dynamics. Volume 1: The Basis is intended as a broad overview of the Finite Element Method. Aimed at undergraduates, postgraduates and professional engineers, it provides a complete introduction to the method.

Volume 2 and Volume 3 of the Finite Element Method cover non-linear solid and structural mechanics and fluid dynamics respectively. Both are essential reading for postgraduate students and professional engineers working in these disciplines.

Contents: Some preliminaries: The standard discrete system · A direct approach to problems in elasticity · Generalization of the finite element concepts - Galerkin-weighted residual and variational approaches · Plane stress and plane strain · Axisymmetric stress analysis · Three-dimensional stress analysis · Steady-state field problems - heat conduction, electric and magnetic potential, fluid flow etc · 'Standard' and 'hierarchical' element shape functions: some general familiarities of C0 continuity · Mapped elements and numerical integration - 'infinite' and 'singularity' elements · 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 · Mixed formulation and constraints - incomplete (hybrid) field methods, boundary · Trefftz methods · Errors, recovery processes and error estimates · Adaptive finite element refinement · 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 · Appendices.

About the Author:

Professor O C ZIENKIEWICZ UNESCO Professor of Numerical Methods in Engineering, International Centre for Numerical Methods in Engineering, Barcelona, Spain. Previously Director of the Institute of Numerical Methods in Engineering, University of Wales, Swansea.
Professor R L TAYLOR Professor in the Graduate School, Department of Civil Engineering and Environmental Engineering, University of California at Berkeley, USA.

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