Basic formulation and linear problems

書誌事項

Basic formulation and linear problems

O.C. Zienkiewicz and R.L. Taylor

(The finite element method, v. 1)

McGraw-Hill, c1989

4th ed

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注記

Includes bibliographies and indexes

内容説明・目次

内容説明

The fourth edition of this highly successful import is written with identical objectives to the original, first to teach and second to provide a "state-of-the-art" reference base of the subject. The book introduces the basic concepts of the finite element method and thereafter concentrates solely on linear programming.

目次

1 Some Preliminaries: The Standard Discrete System2 Finite Elements of an Elastic Continuum-Displacement Approach3 Plane Stress and Plane Strain4 Axi-Symmetrical Stress Analysis5 Three-Dimensional Stress Analysis6 Tensor-Indicial Notation in the Approximation of Elasticity Problems7 "Standard" and "Hierarchical" Element Shape Functions: Some General Families of c/o Continuity8 Mapped Elements and Numerical Integration OInfinite' and OSingularity' Elements9 Generalization of the Finite Element Concepts10 Galerkin-Weighted Residual and Variational Approaches11 Steady-State Field Problems-Heat Conduction, Electric and Magnetic Potential, Fluid Flow, etc.12 The Patch Test, Reduced Integration and Non-Conforming Elements13 Mixed Formulation and Constraints, Incomplete (Hybrid) Field Methods14 Error Estimates and Adaptive Finite Element Refinement15 Computer Procedures for Finite Element Analysis

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