IMECH-IR  > 非线性力学国家重点实验室
Modeling of dynamic crack branching by enhanced extended finite element method
Xu DD; Liu ZL; Liu XM(刘小明); Zeng QL; Zhuang Z; Liu, ZL (reprint author), Tsinghua Univ, Sch Aerosp, Dept Engn Mech, Appl Mech Lab, Beijing 100084, Peoples R China.
Source PublicationComputational Mechanics
2014-08
Volume54Issue:2Pages:489-502
ISSN0178-7675
AbstractThe conventional extended finite element method (XFEM) is enhanced in this paper to simulate dynamic crack branching, which is a top challenge issue in fracture mechanics and finite element method. XFEM uses the enriched shape functions with special characteristics to represent the discontinuity in computation field. In order to describe branched cracks, it is necessary to set up the additional enrichment. Here we have developed two kinds of branched elements, namely the "element crossed by two separated cracks" and "element embedded by a junction". Another series of enriched degrees of freedom are introduced to seize the additional discontinuity in the elements. A shifted enrichment scheme is used to avoid the treatment of blending element. Correspondingly a new mass lumping method is developed for the branched elements based on the kinetic conservation. The derivation of the mass matrix of a four-node quadrilateral element which contains two strong discontinuities is specially presented. Then by choosing crack speed as the branching criterion, the branching process of a single mode I crack is simulated. The results including the branching angle and propagation routes are compared with that obtained by the conventionally used element deletion method.
KeywordXfem Dynamic Fracture Mechanics Mass Lumping Crack Branching
Subject AreaMathematics ; Mechanics
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000339108400018
Funding OrganizationThis work is supported by the National Natural Science Foundation of China under Grant No. 11372157 and The Special Research Grant for Doctor Discipline by Ministry of Education of China under Grant No. 20120002110075
DepartmentLNM新型材料及结构的多尺度力学
Classification一类
Citation statistics
Cited Times:29[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/49016
Collection非线性力学国家重点实验室
Corresponding AuthorLiu, ZL (reprint author), Tsinghua Univ, Sch Aerosp, Dept Engn Mech, Appl Mech Lab, Beijing 100084, Peoples R China.
Recommended Citation
GB/T 7714
Xu DD,Liu ZL,Liu XM,et al. Modeling of dynamic crack branching by enhanced extended finite element method[J]. Computational Mechanics,2014,54(2):489-502.
APA Xu DD,Liu ZL,Liu XM,Zeng QL,Zhuang Z,&Liu, ZL .(2014).Modeling of dynamic crack branching by enhanced extended finite element method.Computational Mechanics,54(2),489-502.
MLA Xu DD,et al."Modeling of dynamic crack branching by enhanced extended finite element method".Computational Mechanics 54.2(2014):489-502.
Files in This Item: Download All
File Name/Size DocType Version Access License
IMCAS-J2014-168.pdf(1018KB) 开放获取--View Download
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Xu DD]'s Articles
[Liu ZL]'s Articles
[Liu XM(刘小明)]'s Articles
Baidu academic
Similar articles in Baidu academic
[Xu DD]'s Articles
[Liu ZL]'s Articles
[Liu XM(刘小明)]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Xu DD]'s Articles
[Liu ZL]'s Articles
[Liu XM(刘小明)]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: IMCAS-J2014-168.pdf
Format: Adobe PDF
This file does not support browsing at this time
All comments (0)
No comment.
 

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