Finite element analysis (FEA) is now a convenient and speedy tool for approximation of the solution to a wide variety of complicated engineering problems across a wide range of industries. FEA use mathematical models to analyse and quantify the impacts of real-world circumstances on a component or assembly. These simulations, which are carried out using specialised software, enable engineers to identify possible design flaws, such as regions of strain and weak points. It is possible to comprehend and quantify structural or fluid behaviour, wave propagation, heat transport, and other processes by the application of mathematics. While the majority of processes can be represented using partial differential equations (PDEs), these complicated equations must be solved in order to provide estimates of parameters such as stress and strain rates. FEA enables an approximation of these solutions. This book discusses the fundamental as well as modern approaches of finite element analysis. It strives to provide a fair idea about this discipline and to help develop a better understanding of the latest advances within this field. It presents researches and studies performed by experts across the globe. It deals with matrix stiffness methods, error analysis, one-dimensional problems and two-dimensional problems. It also explores computational implementation, beams, plates and shells. It picks up individual branches and explains their need and contribution in the context of the growth of this subject and technology. It is appropriate for students seeking detailed information in this area as well as for experts.

Preface

1. Introduction 

2. Matrix Stiffness Methods

3. Error Analysis and Ill-conditioning

4. The Finite Element Formulation: One-Dimensional Problems

5. The Finite Element Formulation: Two-Dimensional Problems

6. Computational Implementation of the Finite Element Method

7. Beams 

8. Plates and Shells

9. Solid Mechanics 

Index

Kala Stallings is a Senior Science Research Specialist at Technological Institute, Andalusia. She obtained her Ph.D. in Applied Mechanics from Public Technical University, Naples. She has more than two decades of experience in working for the industry and the academia. Stallings is an internationally recognized expert in the field of simulation of mechanical systems, nonlinear structural analysis, structural modelling and analysis using FEM, design of structures and mechanical systems, etc. Her works have been published in various books and journals as reference materials for academicians and professionals.