Finite Element Analysis or FEA is the simulation of a physical phenomenon using a numerical mathematic technique referred to as the Finite Element Method, or FEM. This process is at the core of mechanical engineering, as well as a variety of other disciplines. It also is one of the key principles used in the development of simulation software. Engineers can use these FEM to reduce the number of physical prototypes and run virtual experiments to optimize their designs. Complex mathematics is required in order to understand the physical phenomena that occur all around us. These include things like fluid dynamics, wave propagation, and thermal analysis. This book outlines the processes and applications of finite element analysis in detail. It is a compilation of chapters that discuss the most vital concepts in this field. It also deals with one-dimensional elasticity problems, analysis of truss, unsteady state heat condition, high order elements, incompressible flows and torsion analysis, dynamic analysis and non-linear analysis. Different approaches, evaluations and methodologies have been included in it. Also included in this book is a detailed explanation of the various concepts of the area. This book is meant for students who are looking for an elaborate reference on finite element analysis.

Preface

1. Introduction

2. One-dimensional Elasticity Problems

3. Analysis of Truss

4. Analysis of Beams

5. Steady State Conduction Heat Transfer

6. Two Dimensional Problems of Elasticity

7. Higher Order Elements

8. Steady, Inviscid, Incompressible Flows and Torsion Analysis

9. Dynamic Analysis

10. Introduction to Production Management

Index

Logan Beard is a Faculty Member at the Institute of Technology, Manitoba. He obtained his Ph.D. in Mechanical Engineering from Science Research University, Newark. His research interests are in computer aided design, finite element analysis, structures and multi-body dynamic simulation. Beard has contributed several articles and research papers on quality control, finite element method, mechanical, mathematics and numerical analysis in journals and conference proceedings. He is also an active member of several scientific and technical societies.