J.N. Reddy's, An Introduction to the Finite Element Method, third edition is an update of one of the most popular FEM textbooks available. The book retains its strong conceptual approach, clearly examining the mathematical underpinnings of FEM, and providing a general approach of engineering application areas.
Known for its detailed, carefully selected example problems and extensive selection of homework problems, the author has comprehensively covered a wide range of engineering areas making the book approriate for all engineering majors, and underscores the wide range of use FEM has in the professional world.
A supplementary text Web site located at http://www.mhhe.com/reddy3e contains password-protected solutions to end-of-chapter problems, general textbook information, supplementary chapters on the FEM1D and FEM2D computer programs, and more!
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1 Introduction
2 Mathematical Preliminaries, Integral Formulations, and Variational Methods
3 Second-order Differential Equations in One Dimension: Finite Element Models
4 Second-order Differential Equations in One Dimension: Applications
5 Beams and Frames
6 Eigenvalue and Time-Dependent Problems
7 Computer Implementation
8 Single-Variable Problems in Two Dimensions
9 Interpolation Functions, Numerical Integration, and Modeling Considerations
10 Flows of Viscous Incompressible Fluids
11 Plane Elasticity
12 Bending of Elastic Plates
13 Computer Implementation of Two-Dimensional Problems
14 Prelude to Advanced Topics
Book by Reddy J
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