An Introduction to the Finite Element Method


An Introduction to the Finite Element Method cover
Cover of An Introduction to the Finite Element Method

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.

Table of Contents

Part Chapter # Chapter Title Starting Page
Part 1: Preliminaries 1 Introduction 3
  2 Integral Formulations and Variational Methods 18
Part 2: Finite Element Analysis of One-Dimensional Problems 3 Second-Order Boundary Value Problems 67
  4 Bending of Beams 143
  5 Finite Element Error Analysis 199
  6 Eigenvalue and Time-Dependent Problems 209
  7 Numerical Integration and Computer Implementation 246
Part 3: Finite Element Analysis of Two-Dimensional Problems 8 Single-Variable Problems 295
  9 Interpolation Functions, Numerical Integration, and Modeling Considerations 404
  10 Plane Elasticity 455
  11 Flows of Viscous Incompressible Fluids 482
  12 Bending of Elast Plates 508
  13 Computer Implementation 533
Part 4: Advanced Topics 14 Weighted-Residual Finite Element Models, and Finite Element Models of Nonlinear and Three-Dimensional Problems 579