Hybrid Analytical and MLS-Based NMM for the Determination of Generalized Stress Intensity Factors
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-19
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The numerical manifold method (NMM) is characterized by its two cover systems, the mathematical cover and the physical cover.
In the standard NMM, the mathematical cover is required to cover the whole problem domain.
In this study, however, around each crack tip we specify a small domain on which the displacement is taken as the truncated Williams’ displacement series.
And accordingly all such small domains are not covered by the mathematical cover that only covers the rest of the problem domain.
Meanwhile, the mathematical cover is constructed by designating all supports of the scattered nodes arising in the moving least squares interpolation as the mathematical patches.
In this way, any physical patch contains no crack tip and can be approximated by polynomials.
As a result, no blending element issue exists as in the extended finite element method and NMM.
In addition to high precision, the proposed procedure is especially suitable for the situation where a crack tip is very close to other cracks, a case difficult to treat by the interaction integral procedure that is commonly used in the extraction of the stress intensity factors of mixed mode cracks.
American Psychological Association (APA)
Liu, Feng& Zheng, Hong& Du, Xiuli. 2015. Hybrid Analytical and MLS-Based NMM for the Determination of Generalized Stress Intensity Factors. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073264
Modern Language Association (MLA)
Liu, Feng…[et al.]. Hybrid Analytical and MLS-Based NMM for the Determination of Generalized Stress Intensity Factors. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1073264
American Medical Association (AMA)
Liu, Feng& Zheng, Hong& Du, Xiuli. Hybrid Analytical and MLS-Based NMM for the Determination of Generalized Stress Intensity Factors. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073264
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073264