MARC details
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10849nam a2200961 a 4500 |
| 001 - CONTROL NUMBER |
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EBC954640 |
| 003 - CONTROL NUMBER IDENTIFIER |
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MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20190211053542.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr cn |||m|||a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
120917s2012 nyua foab 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781606503348 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1606503340 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9781606503324 (print) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
1606503324 (print) |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.5643/9781606503348 |
| Source of number or code |
doi |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)810794922 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(CaBNvSL)swl00401294 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(MiAaPQ)EBC954640 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(Au-PeEL)EBL954640 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(CaPaEBR)ebr10605114 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(CaONFJC)MIL420846 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)830170658 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
MiAaPQ |
| Transcribing agency |
MiAaPQ |
| Modifying agency |
MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QC20.7.F56 |
| Item number |
D684 2012 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
530.155353 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Dow, John O., |
| Dates associated with a name |
1941- |
| 245 14 - TITLE STATEMENT |
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| Title |
The essentials of finite element modeling and adaptive refinement |
| Medium |
[electronic resource] : |
| Remainder of title |
for beginning analysts to advanced researchers in solid mechanics / |
| Statement of responsibility, etc |
John O. Dow. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
[New York, N.Y.] (222 East 46th Street, New York, NY 10017) : |
| Name of publisher, distributor, etc |
Momentum Press, |
| Date of publication, distribution, etc |
2012. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 electronic text (xvii, 271 p.) : |
| Other physical details |
ill., digital file. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Preface -- 1. Introduction -- 1.1 Problem definition -- 1.2 Overall objectives -- 1.3 Specific tasks -- 1.4 The central role of the interpolation functions -- 1.5 A closer look at the interpolation functions -- 1.6 Physically interpretable interpolation functions in action -- 1.7 The overall significance of the physically interpretable notation -- 1.8 Examples of model refinement and the need for adaptive refinement -- 1.9 Examples of adaptive refinement and error analysis -- 1.10 Summary -- 1.11 References -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
2. An overview of finite element modeling characteristics -- 2.1 Introduction -- 2.2 Characteristics of exact finite element results -- 2.3 More demanding loading conditions -- 2.4 Discretization errors in an initial model -- 2.5 Error reduction and uniform refinement -- 2.6 Error reduction and adaptive refinement -- 2.7 The effect of element modeling capability on discretization errors -- 2.8 Summary and future applications -- 2.9 References -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
2A. Elements of two-dimensional modeling -- 2A1. Introduction -- 2A2. Submodeling refinement strategy -- 2A3. Initial model -- 2A4. Adaptive refinement results -- 2A5. Summary -- 2A6. References -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
2B. Exact solutions for two longitudinal bar problems -- 2B1. Introduction -- 2B2. General solution of the governing differential equation -- 2B3. Application of a free boundary condition -- 2B4. Second application of separation of variables -- 2B5. Solution for a constant distributed load -- 2B6. Solution for a linearly varying distributed load -- 2B7. Summary -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
3. Identification of finite element strain modeling capabilities -- 3.1 Introduction -- 3.2 Identification of the strain modeling capabilities of a three-node bar element -- 3.3 An introduction to physically interpretable interpolation polynomials -- 3.4 Identification of the physically interpretable coefficients -- 3.5 The decomposition of element displacements into strain components -- 3.6 A common basis for the finite element and finite difference methods -- 3.7 Modeling capabilities of the four-node bar element -- 3.8 Identification and evaluation of element behavior -- 3.9 Evaluation of a two-dimensional strain model -- 3.10 Analysis by inspection in two dimensions -- 3.11 Summary and conclusion -- 3.12 Reference -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
4. The source and quantification of discretization errors -- 4.1 Introduction -- 4.2 Background concepts, the residual approach to error analysis -- 4.3 Quantifying the failure to satisfy point-wise equilibrium -- 4.4 Every finite element solution is an exact solution to some problem -- 4.5 Summary and conclusion -- 4.6 Reference -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
5. Modeling inefficiency in irregular isoparametric elements -- 5.1 Introduction -- 5.2 An overview of isoparametric element strain modeling characteristics -- 5.3 Essential elements of the isoparametric method -- 5.4 The source of strain modeling errors in isoparametric elements -- 5.5 Strain modeling characteristics of isoparametric elements -- 5.6 Modeling errors in irregular isoparametric elements -- 5.7 Results for a series of uniform refinements -- 5.8 Summary and conclusion -- 5.9 References -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
6. Introduction to adaptive refinement -- 6.1 Introduction -- 6.2 Physically interpretable error estimators -- 6.3 A model refinement strategy -- 6.4 A demonstration of uniform refinement -- 6.5 A demonstration of adaptive refinement -- 6.6 An application of an absolute error estimator -- 6.7 Summary -- 6.8 References -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
7. Strain energy-based error estimators, the Z/Z error estimator -- 7.1 Introduction -- 7.2 The basis of the Z/Z error estimator, a smoothed strain representation -- 7.3 The Z/Z elemental strain energy error estimator -- 7.4 The Z/Z error estimator -- 7.5 A modified locally normalized Z/Z error estimator -- 7.6 A demonstration of the Z/Z error estimator -- 7.7 A demonstration of adaptive refinement -- 7.8 Summary and conclusion -- 7.9 References -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
7A. Gauss points, super convergent strains, and Chebyshev polynomials -- 7A1. Introduction -- 7A2. Modeling behavior of three-node elements -- 7A3. Gauss points and Chebyshev polynomials -- 7A4. References -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
7B. An unsuccessful example of adaptive refinement -- 7B1. Introduction -- 7B2. Example 1 -- 7B3. Example 2 -- 7B4. Summary -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
8. A high resolution point-wise residual error estimator -- 8.1 Introduction -- 8.2 An overview of the point-wise residual error estimator -- 8.3 The theoretical basis for the point-wise residual error estimator -- 8.4 Computation of the point-wise residual error estimator -- 8.5 Formulation of the finite difference operators -- 8.6 The formulation of the point-wise residual error estimator -- 8.7 A demonstration of the point-wise finite difference error estimator -- 8.8 A demonstration of adaptive refinement -- 8.9 A temptation to avoid and a reason for using child meshes -- 8.10 Summary and conclusion -- 8.11 Reference -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
9. Modeling characteristics and efficiencies of higher order elements -- 9.1 Introduction -- 9.2 Adaptive refinement examples (4.0% termination criterion) -- 9.3 Adaptive refinement examples (0.4% termination criterion) -- 9.4 In-situ identification of the five-node element modeling behavior -- 9.5 Strain contributions of the basis set components -- 9.6 Comparative modeling behavior of four-node elements -- 9.7 Summary, conclusion, and recommendations for future work -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
10. Formulation of a 10-node quadratic strain element -- 10.1 Introduction -- 10.2 Identification of the linearly independent strain gradient quantities -- 10.3 Identification of the elemental strain modeling characteristics -- 10.4 Formulation of the strain energy expression -- 10.5 Identification and evaluation of the required integrals -- 10.6 Expansion of the strain energy kernel -- 10.7 Formulation of the stiffness matrix -- 10.8 Summary and conclusion -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
10A. A numerical example for a 10-node stiffness matrix -- 10A1. Introduction -- 10A2. Element geometry and nodal numbering -- 10A3. Formulation of the transformation to nodal displacement coordinates -- 10A4. Formulation and evaluation of the strain energy expression -- 10A5. Formulation of the stiffness matrix -- 10A6. Summary and conclusion -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
10B. Matlab formulation of the 10-node element stiffness matrix -- 10B1. Introduction -- 10B2. Driver program for forming the stiffness matrix for a 10-node element -- 10B3. Form phi and phi inverse for 10-node element -- 10B4. Form integrals in stiffness matrix using Green's theorem -- 10B5. Form strain energy kernel for 10-node element -- 10B6. Plot geometry and nodes for 10-node element -- 10B7. Function to transform Matlab matrices to form for use in Word -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
11. Performance-based refinement guides -- 11.1 Introduction -- 11.2 Theoretical overview for finite difference smoothing -- 11.3 Development of the refinement guide -- 11.4 Problem description -- 11.5 Examples of adaptive refinement -- 11.6 An efficient refinement guide based on nodal averaging -- 11.7 Further comparisons of the refinement guides -- 11.8 Summary and conclusion -- 11.9 References -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
12. Summary and research recommendations -- 12.1 Introduction -- 12.2 An overview of advances in adaptive refinement -- 12.3 Displacement interpolation functions revisited: a reinterpretation -- 12.4 Advances in the finite element method -- 12.5 Advances in the finite difference method -- 12.6 Recommendations for future work and research opportunities -- 12.7 Reference -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Index. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE |
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| Terms governing access |
Restricted to libraries which purchase an unrestricted PDF download via an IP. |
| 520 3# - SUMMARY, ETC. |
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| Summary, etc |
As the title declares, this book is largely concerned with finite element modeling and the improvement of these models with adaptive refinement. The intended audience for this book consists of readers who are either early in their technical careers or mature users and researchers in computational mechanics. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE |
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| Additional physical form available note |
Also available in print. |
| 533 ## - REPRODUCTION NOTE |
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| Type of reproduction |
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. |
| 538 ## - SYSTEM DETAILS NOTE |
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| System details note |
Mode of access: World Wide Web. |
| 538 ## - SYSTEM DETAILS NOTE |
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| System details note |
System requirements: Adobe Acrobat reader. |
| 588 ## - |
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| -- |
Title from PDF t.p. (viewed on September 17, 2012). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Finite element method |
| General subdivision |
Mathematical models. |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Finite element modeling |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Adaptive refinement |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Refinement guides |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Error estimators |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Modeling errors |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Residual methods |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Recovery methods |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Physically interpretable notation |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Taylor series based interpolation polynomials |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Ten node element |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Modeling deficiencies |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Sub-modeling |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Termination criteria |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
In situ strains |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Elemental modeling errors |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Global modeling errors |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Isoparametric element flaws |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Pointwise errors |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Finite difference templates |
| 655 #4 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Print version: |
| International Standard Book Number |
1606503324 |
| -- |
9781606503324 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://ebookcentral.proquest.com/lib/bcsl-ebooks/detail.action?docID=954640">https://ebookcentral.proquest.com/lib/bcsl-ebooks/detail.action?docID=954640</a> |
| Public note |
Click to View |