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| A UNIFIED APPROACH TO THE FINITE ELEMENT METHOD AND ERROR ANALYSIS PROCEDURES
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To order this title, and for more information, click here
By
Julian Dow, University of Colorado, Boulder, U.S.A.
Description
This book provides an in-depth background to better understanding of finite element results and techniques for improving accuracy of finite
element methods. Thus, the reader is able to identify and eliminate errors contained in finite element models. Three different error
analysis techniques are systematically developed from a common theoretical foundation: 1) modeling erros in individual elements; 2) discretization
errors in the overall model; 3) point-wise errors in the final stress or strain results.
Thoroughly class tested with undergraduate and
graduate students. A Unified Approach to the Finite Element Method and Error Analysis Procedures is sure to become
an essential resource for students as well as practicing engineers and researchers.
Audience
Students and professional engineers involved in advanced structural mechanics; civil, mechanical, and aeronautical engineers involved
in the design of structures that must perform and standup to a wide array of stress.
Contents
General Introduction.
Problem Definition and Development:
Introduction. Principle of Minimum Potential Energy. Elements
of the Calculus of Variations. Derivation of the Plane Stress Problem. Rayleigh-Ritz Variational Solution Technique.
Physically
Interpretable Displacement Polynomials: Strain Gradient Notation:
Introduction. Strain Gradient Notation. Strain Gradient Representation
of Discrete Structures. Strain Transformations.
A-Priori Error Analysis Procedures:
Introduction. The Development of
Strain Gradient Based Finite Elements. Four Node Quadrilateral Element. Six Node Linear Strain Element. Eight and Nine Node Elements.
Shear Locking and Aspect Ratio Stiffening.
The Strain Gradient Reformation of the Finite Differences Method:
Introduction.
Elements of the Finite Difference Method. Finite Difference Boundary Condition Models. Extensions to the Finite Difference Method.
A-Posteriori
Error Analysis Procedures:
Introduction. The Zienkiewicz/Zhu Error Estimation Procedure. Error Estimation Based on Finite Difference
Smoothing. Point-Wise Error Estimates. Super-Convergence of the Augmented Finite Element Results. Adaptive Refinement of Finite Difference
Models. Subject Index.
| Bibliographic details |
Hardbound, 533 pages, publication date: NOV-1998
ISBN-13: 978-0-12-221440-0
ISBN-10: 0-12-221440-4
Imprint: ACADEMIC PRESS
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| Price and Ordering |
Price:
EUR 93.95
USD 129
GBP 80
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Last update: 30 Nov 2009
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