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.
刊名	Computational Mechanics
	2014-08
卷号	54 期号:2 页码:489-502
关键词	Xfem Dynamic Fracture Mechanics Mass Lumping Crack Branching
ISSN号	0178-7675
产权排序	[Xu, Dandan; Liu, Xiaoming; Zeng, Qinglei; Zhuang, Zhuo] Tsinghua Univ, Sch Aerosp, Dept Engn Mech, Appl Mech Lab, Beijing 100084, Peoples R China; [Liu, Xiaoming] Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China
文献子类	Article
英文摘要	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.
学科主题	Mathematics ; Mechanics
分类号	一类
URL标识	查看原文
语种	英语
WOS记录号	WOS:000339108400018
资助机构	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
公开日期	2014-09-02
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/49016]
专题	力学研究所_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.