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Improved XFEM: Accurate and robust dynamic crack growth simulation
Wen, Longfei1; Tian, Rong2
2016-08-15
发表期刊COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN0045-7825
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
DOI10.1016/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
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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.
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