The Finite Element Method in Engineering

The Finite Element Method in Engineering

by Singiresu S. Rao
     
 

ISBN-10: 0080254675

ISBN-13: 9780080254678

Pub. Date: 12/01/1981

Publisher: Elsevier Science & Technology Books

"The Finite Element Method in Engineering, Fourth Edition is an updated and improved version of a finite element text long noted for its practical applications approach, its readability, and ease of use. Students will find in this textbook a thorough grounding of the mathematical principles underlying the popular, analytical methods for setting up a finite element…  See more details below

Overview

"The Finite Element Method in Engineering, Fourth Edition is an updated and improved version of a finite element text long noted for its practical applications approach, its readability, and ease of use. Students will find in this textbook a thorough grounding of the mathematical principles underlying the popular, analytical methods for setting up a finite element solution based on those mathematical equations. It quickly bridges that knowledge to a host of real-world applications - from structural design, to problems in fluid mechanics and thermodynamics." Professional engineers will benefit from the introduction to the many useful applications of finite element analysis, and will gain a better understanding of its limitations and special uses. This new edition will clarify and augment those benefits by expanding upon several key fundamentals of the underlying mathematics with new material on boundary element analysis, as well as other advanced solutions methods.

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Product Details

ISBN-13:
9780080254678
Publisher:
Elsevier Science & Technology Books
Publication date:
12/01/1981
Series:
Pergamon International Library of Science, Technology, Engineering and Social Studies
Edition description:
1st ed
Pages:
400

Table of Contents

1Overview of finite element method3
2Discretization of the domain53
3Interpolation models80
4Higher order and isoparametric elements113
5Derivation of element matrices and vectors162
6Assembly of element matrices and vectors and derivation of system equations209
7Numerical solution of finite element equations230
8Basic equations and solution procedure279
9Analysis of trusses, beams, and frames309
10Analysis of plates357
11Analysis of three-dimensional problems399
12Dynamic analysis421
13Formulation and solution procedure467
14One-dimensional problems482
15Two-dimensional problems514
16Three-dimensional problems533
17Basic equations of fluid mechanics557
18Inviscid and incompressible flows575
19Viscous and non-Newtonian flows594
20Solution of quasi-harmonic equations621
21Solution of Helmholtz equation642
22Solution of Reynolds equations650
App. AGreen-Gauss theorem657

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