The Finite Element Analysis (FEA) is the numerical simulation of any physical phenomenon using the Finite Element Method (FEM). Engineers utilize FEA software to reduce the number of physical prototypes and experiments, as well as optimize components throughout the design phase, in order to build better products faster and for less money. To fully comprehend and quantify any physical phenomenon, such as structural or fluid behaviour, thermal transfer, wave propagation, biological cell growth, and so on, mathematics is required. Partial Differential Equations are used to describe the majority of these processes (PDEs). Numerical approaches have been developed over the last few decades to allow a computer to solve these PDEs, and one of the most popular today is Finite Element Analysis. Differential equations can be used to represent both natural and physical processes in engineering mechanics. This book elucidates the concepts and innovative models around prospective developments with respect to finite element analysis. It elucidates the various theories and techniques of this field. It deals with computational procedures, formulation techniques, isoparametric elements, coordinate transformation and nonlinearity. It unfolds the innovative aspects of this area, which will be crucial for the holistic understanding of the subject matter. The book is appropriate for those seeking detailed information in this field and will serve as a reference to a broad spectrum of readers.

Preface

1. Introduction

2. One-Dimensional Elements, Computational Procedures

3. Basic Elements

4. Formulation Techniques: Variational Methods

5. Isoparametric Elements

6. Coordinate Transformation and Selected Analysis Options

7. Nonlinearity: An Overview

8. Error, Error Estimation, and Convergence

9. Modeling Considerations and Software Use

10. Formulation Techniques

Index

Luci Wallis is a Senior Lecturer at Technical Institute, Chiba. She has more than a decade of experience in fuzzy logic, finite element method, structural analysis and mechanics.  She holds Ph.D. in Mechanical Engineering from Science Research University, Irkutsk. She has contributed more than hundred technical papers in reputed international journals. Wallis is an active member of several scientific and technical societies, where she continues to share her expertise and knowledge in the field of finite element analysis & engineering.