Unified Approach to the Finite Element Method and Error Analysis Procedures

Name: Unified Approach to the Finite Element Method and Error Analysis Procedures
Price: 32.13 USD
Availability: InStock
ISBN: 9780122214400

ISBN-10: 0122214404

ISBN-13: 9780122214400

Edition: 1999

Authors: Julian A. T. Dow, Julian A. T. Dow

List price: $160.00

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This book is the first comprehensive reference to teach the finite element method with an emphasis on a robust procedure for analysing error. Aimed at engineers involved in structural mechanics, it combines various methods of error analysis.

Book details

List price: $160.00
Copyright year: 1999
Publisher: Elsevier Science & Technology
Publication date: 11/9/1998
Binding: Hardcover
Pages: 533
Size: 7.01" wide x 10.00" long x 0.49" tall
Weight: 2.596
Language: English



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