The basis
著者
書誌事項
The basis
（The finite element method, v. 1）
Butterworth-Heinemann, 2000
5th ed
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注記
Includes bibliographies and indexes
内容説明・目次
内容説明
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.
目次
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.
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