Textbook Of Finite Element Analysis

Preface

1. Introduction

2. Finite Element Formulation Starting from Governing Differential Equations

3. Finite Element Formulation Based on Stationarity of a Functional

4. One-dimensional Finite Element Analysis

5. Two-dimensional Finite Element Analysis

6. Dynamic Analysis Using Finite Elements

7. Application Examples

Appendices

Index

 

Designed for a one-semester course in Finite Element Method, this compact and well-organized text presents FEM as a tool to find approximate solutions to differential equations. This provides the student a better perspective on the technique and its wide range of applications. This approach reflects the current trend as the present-day applications range from structures to biomechanics to electromagnetics, unlike in conventional texts that view FEM primarily as an extension of matrix methods of structural analysis.
After an introduction and a review of mathematical preliminaries, the book gives a detailed discussion on FEM as a technique for solving differential equations and variational formulation of FEM. This is followed by a lucid presentation of one-dimensional and two-dimensional finite elements and finite element formulation for dynamics. The book concludes with some case studies that focus on industrial problems and Appendices that include mini-project topics based on near-real-life problems.
Postgraduate/Senior undergraduate students of civil, mechanical and aeronautical engineering will find this text extremely useful; it will also appeal to the practising engineers and the teaching community.