Modeling of dynamic crack branching by enhanced extended finite element method

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	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.
发表期刊	Computational Mechanics
	2014-08
卷号	54 期号:2 页码:489-502
ISSN	0178-7675
摘要	The 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.
关键词	Xfem Dynamic Fracture Mechanics Mass Lumping Crack Branching
学科领域	Mathematics ; Mechanics
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000339108400018
项目资助者	This 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
课题组名称	LNM新型材料及结构的多尺度力学
论文分区	一类
引用统计	被引频次：62[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/49015
专题	非线性力学国家重点实验室
通讯作者	Liu, ZL (reprint author), Tsinghua Univ, Sch Aerosp, Dept Engn Mech, Appl Mech Lab, Beijing 100084, Peoples R China.
推荐引用方式 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.

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