IMHE OpenIR  > 山地灾害与地表过程重点实验室
A decomposition technique of generalized degrees of freedom for mixedmode crack problems
Fan, Huo1,2,3,4; Zheng, Hong5; Li, Chunguang6; He, Siming1,2,3
Corresponding AuthorHuo Fan ; Siming He
2017
Source PublicationINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN0029-5981
EISSN1097-0207
Volume112Issue:7Pages:803-831
SubtypeArticle
Abstract

The numerical manifold method (NMM) builds up a unified framework that is used to describe continuous and discontinuous problems; it is an attractive method for simulating a cracking phenomenon. Taking into account the differences between the generalized degrees of freedom of the physical patch and nodal displacement of the element in the NMM, a decomposition technique of generalized degrees of freedom is deduced for mixed mode crack problems. An analytic expression of the energy release rate, which is caused by a virtual crack extension technique, is proposed. The necessity of using a symmetric mesh is demonstrated in detail by analysing an additional error that had previously been overlooked. Because of this necessity, the local mathematical cover refinement is further applied. Finally, four comparison tests are given to illustrate the validity and practicality of the proposed method. The aforementioned aspects are all implemented in the high-order NMM, so this study can be regarded as the development of the virtual crack extension technique and can also be seen as a prelude to an h-version high-order NMM. Copyright (c) 2017 John Wiley & Sons, Ltd.

KeywordNumerical Manifold Method Virtual Crack Extension Energy Release Rate Decomposition Of Generalized Degrees Of Freedom Mathematical Cover Refinement
WOS HeadingsScience & Technology ; Technology ; Physical Sciences
DOI10.1002/nme.5533
WOS Subject ExtendedEngineering ; Mathematics
Indexed BySCI
WOS KeywordNUMERICAL MANIFOLD METHOD ; STRESS INTENSITY FACTORS ; ENERGY-RELEASE RATES ; FUNCTIONALLY GRADED MATERIALS ; ELASTIC FRACTURE-MECHANICS ; SHAPE SENSITIVITY-ANALYSIS ; FINITE-ELEMENT EVALUATION ; EXTENSION METHOD ; UNITY METHOD ; MODE
Language英语
Quartile3区
TOP
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000413159300008
Funding OrganizationNational Basic Research Program of China (973 Program)(2014CB047100) ; National Natural Science Foundation of China(11172313 ; NSFC-ICIMOD Joint Research Project(41661144041) ; 51538001)
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.imde.ac.cn/handle/131551/19176
Collection山地灾害与地表过程重点实验室
Affiliation1.Chinese Acad Sci, Key Lab Mt Hazards & Surface Proc, Chengdu 610041, Sichuan, Peoples R China
2.Chinese Acad Sci, Inst Mt Hazards & Environm, Chengdu 610041, Sichuan, Peoples R China
3.Chinese Acad Sci, Ctr Excellence Tibetan Plateau Earth Sci, Beijing 100101, Peoples R China
4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
5.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
6.Chinese Acad Sci, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Hubei, Peoples R China
First Author Affilication中国科学院水利部成都山地灾害与环境研究所
Recommended Citation
GB/T 7714
Fan, Huo,Zheng, Hong,Li, Chunguang,et al. A decomposition technique of generalized degrees of freedom for mixedmode crack problems[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2017,112(7):803-831.
APA Fan, Huo,Zheng, Hong,Li, Chunguang,&He, Siming.(2017).A decomposition technique of generalized degrees of freedom for mixedmode crack problems.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,112(7),803-831.
MLA Fan, Huo,et al."A decomposition technique of generalized degrees of freedom for mixedmode crack problems".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 112.7(2017):803-831.
Files in This Item:
File Name/Size DocType Version Access License
A decomposition tech(2260KB)期刊论文作者接受稿开放获取CC BY-NC-SAView Application Full Text
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Fan, Huo]'s Articles
[Zheng, Hong]'s Articles
[Li, Chunguang]'s Articles
Baidu academic
Similar articles in Baidu academic
[Fan, Huo]'s Articles
[Zheng, Hong]'s Articles
[Li, Chunguang]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Fan, Huo]'s Articles
[Zheng, Hong]'s Articles
[Li, Chunguang]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: A decomposition technique of generalized degrees of freedom for mixedmode crack problems.pdf
Format: Adobe PDF
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.