Finite Element Method: Applications in Solids, Structures, and Heat Transfer / Edition 1

by Michael R. Gosz

Overview

The finite element method (FEM) is the dominant tool for numerical analysis in engineering, yet many engineers apply it without fully understanding all the principles. Learning the method can be challenging, but Mike Gosz has condensed the basic mathematics, concepts, and applications into a simple and easy-to-understand reference.

Finite Element Method: Applications in Solids, Structures, and Heat Transfer navigates through linear, linear dynamic, and nonlinear finite elements with an emphasis on building confidence and familiarity with the method, not just the procedures. This book demystifies the assumptions made, the boundary conditions chosen, and whether or not proper failure criteria are used. It reviews the basic math underlying FEM, including matrix algebra, the Taylor series expansion and divergence theorem, vectors, tensors, and mechanics of continuous media.

The author discusses applications to problems in solid mechanics, the steady-state heat equation, continuum and structural finite elements, linear transient analysis, small-strain plasticity, and geometrically nonlinear problems. He illustrates the material with 10 case studies, which define the problem, consider appropriate solution strategies, and warn against common pitfalls. Additionally, 35 interactive virtual reality modeling language files are available for download from the CRC Web site.

For anyone first studying FEM or for those who simply wish to deepen their understanding, Finite Element Method: Applications in Solids, Structures, and Heat Transfer is the perfect resource.

Product Details

ISBN-13:	9780849334078
Publisher:	Taylor & Francis
Publication date:	11/10/2005
Series:	Mechanical Engineering
Edition description:	New Edition
Pages:	426
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

Michael R. Gosz

Table of Contents

Introduction. Mathematical Preliminaries. One-Dimensional Problems. Linearized Theory of Elasticity. Steady-State Heat Conduction. Continuum Finite Elements. Structural Finite Elements. Linear Transient Analysis. Small-Strain Plasticity. Treatment of Geometric Nonlinearities. Bibliography. Index.

Editorial Reviews

". . . extremely clearly written, so much so that it could easily be used for self-study . . . achieves an excellent balance between the presentation of fundamental building blocks and the further development and implementation of the theory in the context of specific applications . . . is indeed a very useful addition to the literature on the subject, at the introductory level."

– Batmanathan D. Reddy, in Zentralblatt Math, 2006, Vol. 1095, No. 21

From the Publisher