ABSTRACT

Although there are many books on the finite element method (FEM) on the market, very few present its basic formulation in a simple, unified manner. Furthermore, many of the available texts address either only structure-related problems or only fluid or heat-flow problems, and those that explore both do so at an advanced level.

Introductory Finite Element Method examines both structural analysis and flow (heat and fluid) applications in a presentation specifically designed for upper-level undergraduate and beginning graduate students, both within and outside of the engineering disciplines. It includes a chapter on variational calculus, clearly presented to show how the functionals for structural analysis and flow problems are formulated. The authors provide both one- and two-dimensional finite element codes and a wide range of examples and exercises. The exercises include some simpler ones to solve by hand calculation-this allows readers to understand the theory and assimilate the details of the steps in formulating computer implementations of the method.

Anyone interested in learning to solve boundary value problems numerically deserves a straightforward and practical introduction to the powerful FEM. Its clear, simplified presentation and attention to both flow and structural problems make Introductory Finite Element Method the ideal gateway to using the FEM in a variety of applications.

chapter 1|12 pages

Introduction

chapter 2|40 pages

Steps in the Finite Element Method

chapter 3|70 pages

One-Dimensional Stress Deformation

chapter 4|16 pages

One-Dimensional Flow

chapter 7|40 pages

Beam Bending and Beam-Column

chapter 8|12 pages

One-Dimensional Mass Transport

chapter 9|15 pages

One-Dimensional Stress Wave Propagation

chapter 10|28 pages

Two- and Three-Dimensional Formulations

chapter 11|66 pages

Torsion

chapter 13|42 pages

Two-Dimensional Stress-Deformation Analysis