Finite Element Methods for Structures with Large Stochastic Variations

Hardcover | July 17, 2003

byIsaac Elishakoff, Yongjian Ren

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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 mathematicalproblems, 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 behaviour may be analysed statistically but not predicted precisely. Graduate students, lecturers, and researchers in mathematics, engineering, and scientific computation will find this a very usefulreference. This book is the latest in the Oxford Texts in Applied and Engineering Mathematics series, which includes texts based on taught courses that explain the mathematical or computational techniques required for the resolution of fundamental applied problems, from the undergraduate through to thegraduate level. Other books in the series include: Jordan and Smith: Nonlinear Ordinary Differential Equations: an introduction to dynamical systems; Sobey: Introduction to Interactive Boundary Layer Theory; Scott: Nonlinear Science: emergence and dynamics of coherent structures; Tayler:Mathematical Models in Applied Mechanics; Ram-Mohan: Finite Element and Boundary Element Applications in Quantum Mechanics.

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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 mathematicalproblems, e.g. safety testing. This reference t...

Isaac Elishakoff is at Florida Atlantic University, Boca Raton, Florida, USA. Yongjian Ren is at DataCore Software Corporation, Fort Lauderdale, Florida, USA.

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Format:HardcoverDimensions:270 pages, 9.21 × 6.14 × 0.76 inPublished:July 17, 2003Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198526318

ISBN - 13:9780198526315

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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