Finite Element Methods for Structures with Large Stochastic Variations

by Isaac Elishakoff, Yongjian Ren

Overview

The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. FEM is a numerical method widely used in computer aided engineering, which allows for modelling and analysis of engineering and mathematical problems, e.g. safety testing. This reference text is the first to discuss finite element methods for structures with large stochastic variations. Stochastic variations are those that follow a random probability distribution or pattern and whose behavior may be analyzed statistically but not predicted precisely. Graduate students, lecturers and researchers in mathematics, engineering and scientific computation will find this a very useful reference. This book is the latest in the Oxford Texts in Applied and Engineering Mathematics Series, which includes textx based on taught courses that explain the mathematical or computational techniques required for the resolution of fundamental applied problems, from the undergraduate through to the graduate level.

Product Details

ISBN-13:	9780198526315
Publisher:	Oxford University Press
Publication date:	09/04/2003
Series:	Oxford Texts in Applied and Engineering Mathematics , #7
Pages:	272
Product dimensions:	9.30(w) x 6.20(h) x 0.70(d)

About the Author

Florida Atlantic University, Boca Raton

Table of Contents

1. Fundamentals of Finite Element Method2. Finite Element Method for Stochastic Structures - A Review and Improvement3. Finite Element Method for Stochastic Structures Based on Exact Inverse of Stiffness Matrix4. FEM Based on Direct Exact Inverse of Stiffness Matrix5. Variational Principles-Based FEM for Stochastic Beams6. Element-Level Flexibility-Based Finite Element Method for Stochastic Structures7. A Comparison of Stochastic and Interval Finite ElementsBiblographyAppendices