Introduction to Finite Elements

Abstract

This work assumes a basic familiarity with the finite element method. For those readers desiring a better understanding of the method, there are a number of excellent books varying from an introductory treatment to advanced topics listed in the bibliography [1] [2] [3] [4] [5]. In this chapter, we will review the fundamentals of the finite element method and introduce the notation which will be used throughout the book. For the examples shown in this book, either first or second order elements were used. For the worked examples first order triangles are used. The use of first order triangular elements simplifies the arguments and in no way reduces generality. In all cases the procedures given in this book can be used with high order and/or curved elements.