In the years since the publication of the previous edition, active research has developed the finite element method into a tool for the modelling of physical systems. This new edition maintains the comprehensive style of the earlier editions and incorporates contemporary research and development from this 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. This first volume addresses the basis of the finite element method. Aimed at undergraduate and postgraduate students, it provides a complete introduction to the method, offering new material on recovery, accuracy, error estimates and adaptivity. This edition also features increased coverage of mixed and hybrid methods including the discontinuous Galerkin and enhanced strain methods, an expanded chapter on incompressible behaviour and stabilization procedures, and updated coverage of meshless (element free) methods.
Auflage
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science & Technology
Zielgruppe
Für höhere Schule und Studium
Editions-Typ
Maße
Höhe: 244 mm
Breite: 172 mm
ISBN-13
978-0-340-75981-3 (9780340759813)
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Schweitzer Klassifikation
Some preliminaries - the standard discrete system; a direct approach to problems in elasticity; generalisation 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 CO 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 0 incomplete (hybrid) field methods, boundary; Trefftz methods; errors, recovery processes and error estimates; adaptive finite element refinement; the time dimension - semi-discretisation of filed and dynamic problems and analytical solution procedures; the time dimension - discrete approximation in time; coupled systems; computer procedures for finite element analysis.
