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Cover image for The finite element method in engineering
Title:
The finite element method in engineering
Personal Author:
Edition:
4th ed.
Publication Information:
Burlington, MA : Butterworth-Heinemann, 2005
ISBN:
9780750678285

Available:*

Library
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Item Category 1
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30000010082770 TA347.F5 R36 2005 Open Access Book Book
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30000010150565 TA347.F5 R36 2005 Open Access Book Book
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Summary

Summary

The Finite Element Method in Engineering is the only book to provide a broad overview of the underlying principles of finite element analysis and where it fits into the larger context of other mathematically based engineering analytical tools. This 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 mathematical equations.

The book provides a host of real-world applications of finite element analysis, from structural design to problems in fluid mechanics and thermodynamics. It has added new sections on the assemblage of element equations, as well as an important new comparison between finite element analysis and other analytical methods showing advantages and disadvantages of each.

This book will appeal to students in mechanical, structural, electrical, environmental and biomedical engineering.


Author Notes

Mechanical Design, Optimization and Reliability in Mechanical and Structural Design, Finite Element methods, Structural Dynamics.

RESEARCH/SPECIALIZATION:

1. Multi-objective optimization.

2. Uncertainty models in engineering analysis, design and optimization.

3. Reliability based design.

4. Finite element and meshfree methods.

5. Optimization and reliability of renewable energy systems.

BOOKS PUBLISHED:

The Finite Element Method for Engineers, 5e, Elsevier, 2010; Mechanical Vibrations, 6th Edition, Pearson, 2016; Engineering Optimization Theory and Practice, 4th Edition, Wiley, 2009; Reliability Engineering, 1st Edition, Pearson, 2014


Table of Contents

1 Overview of the Finite Element Method
2 Discretization of the Domain
3 Interpolation Models
4 Higher Order and Isoparametric Elements
5 Derivation of Element Matrices and Vectors
6 Assembly of Element Matrices and Vectors and Derivation of System Equations
7 Numerical Solution of Finite Element Equations
8 Basic Equations and Solution Procedure
9 Analysis of Trusses, Beams and Frames
10 Analysis of Plates
11 Analysis of Three-Dimensional Problems
12 Dynamic Analysis
13 Formulation and Solution Procedure
14 One-Dimensional Problems
15 Two-Dimensional Problems
16 Three-Dimensional Problems
17 Basic Equations of Fluid Mechanics
18 Inviscid and Incompressible Flows
19 Viscous and Non-Newtonian Flows
20 Solution of Quasi-Harmonic Equations
21 Solution of Helmhotz Equation
22 Solution of Reynolds Equation
Appendix-A Green Greass Theorem
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