UID:
almahu_9948026689402882
Format:
1 online resource (559 p.)
ISBN:
1-281-04642-6
,
9786611046422
,
0-08-054342-1
Content:
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 Approa
Note:
Description based upon print version of record.
,
Front Cover; The Finite Element Method and Error Analysis Procedures; Copyright Page; Contents; Preface; General Introduction; Part l: Problem Definition and Development; Introduction; Lesson 1 Principle of Minimum Potential Energy; Lesson 2 Elements of the Calculus of Variations; Lesson 3 Derivation of the Plane Stress Problem; Lesson 4 Rayleigh-Ritz Variational Solution Technique; Part II: Physically Interpretable Notation; Introduction; Lesson 5 Strain Gradient Notation; Lesson 6 Strain Gradient Representation of Discrete Structures; Lesson 7 Strain Transformations
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Part III: The Strain Gradient Reformulation of the Finite Element MethodIntroduction; Lesson 8 The Development of Strain-Gradient-Based Finite Elements; Lesson 9 Four-Node Quadrilateral Element; Lesson 10 Six-Node Linear Strain Element; Lesson 11 Eight- and Nine-Node Elements; Lesson 12 Shear Locking, Aspect Ratio Stiffening, and Qualitative Errors; Part IV :The Strain Gradient Reformulation of the Finite Difference Method; Introduction; Lesson 13 Elements of the Finite Difference Method; Lesson 14 Finite Difference Boundary Condition Models; Lesson 15 Nonstandard Finite Difference Models
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Part V: A Posteriori Error Analysis Procedures: Pointwise Error Measures and a New Approach for Strain ExtractionIntroduction; Lesson 16 The Zienkiewicz/Zhu Error Estimation Procedure; Lesson 17 Error Estimation Based on Finite Difference Smoothing; Lesson 18 Nonintegrated Pointwise Refinement Guides; Lesson 19 A Theoretical Foundation for Pointwise Evaluation Measures; Lesson 20 Application of a Universal Evaluation Post-Processor; Index
,
English
Additional Edition:
ISBN 0-12-221440-4
Language:
English
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