Improved XFEM: Accurate and robust dynamic crack growth simulation

doi:10.1016/j.cma.2016.05.013

	Improved XFEM: Accurate and robust dynamic crack growth simulation
	Wen, Longfei 1; Tian, Rong 2
	2016-08-15
发表期刊	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN	0045-7825
卷号	308 页码:256-285
摘要	The extended finite element method (XFEM) is widely accepted in academy as the major technique for crack analysis. Starting from 2009, commercial codes started to use this technique for crack analysis, singling the mature and acceptance of the technique in industries. However, the direct extension of the singular tip enrichment of XFEM, the core of the method, to dynamic crack growth simulation has long been a difficulty due to: (a) elevated bad conditioning as crack propagating, (b) extra-dof dynamics and energy inconsistency, and (c) "null" critical time step size and optimal mass lumping at crack tip. Based on an extra-dof-free partition of unity enrichment technique (Tian, 2013), we have improved XFEM through a crack tip enrichment without extra dof (Tian and Wen, 2015). This paper is to answer the question whether the improved XFEM can also be easily extended to dynamic problems. Numerical tests show that the new XFEM is not only straightforward in implementation in dynamic problems, also provides the most accurate dynamic SIF in the benchmark problems and is orders of magnitude faster with an iterative solver. (C) 2016 Elsevier B.V. All rights reserved.
关键词	XFEM Extra-dof free enrichment Dynamic crack growth Partition of unity
DOI	10.1016/j.cma.2016.05.013
收录类别	SCI
语种	英语
资助项目	National Science Foundation of China[11472274]
WOS研究方向	Engineering ; Mathematics ; Mechanics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000380512800012
出版者	ELSEVIER SCIENCE SA
引用统计	被引频次：54[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/8058
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Tian, Rong
作者单位	1.Chinese Acad Sci, Inst Comp Technol, Beijing 100190, Peoples R China 2.Inst Appl Phys & Computat Math, Software Ctr High Performance Numer Simulat, Beijing 100088, Peoples R China
推荐引用方式 GB/T 7714	Wen, Longfei,Tian, Rong. Improved XFEM: Accurate and robust dynamic crack growth simulation[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2016,308:256-285.
APA	Wen, Longfei,&Tian, Rong.(2016).Improved XFEM: Accurate and robust dynamic crack growth simulation.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,308,256-285.
MLA	Wen, Longfei,et al."Improved XFEM: Accurate and robust dynamic crack growth simulation".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 308(2016):256-285.