Improved XFEM (IXFEM): Arbitrary multiple crack initiation, propagation and interaction analysis

doi:10.1016/j.cma.2024.116791

	Improved XFEM (IXFEM): Arbitrary multiple crack initiation, propagation and interaction analysis
	Wang, Li Xiang 4; Wen, LongFei 2,3; Tian, Rong 2,3; Feng C(冯春)1,4
刊名	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
	2024-03-01
卷号	421 页码:54
关键词	Improved XFEM (IXFEM) Level set templated cover cutting method (LSTCCM) Fully extra-DOF-free enrichment Adaptive interaction integral Competing crack growth Benchmark set
ISSN号	0045-7825
DOI	10.1016/j.cma.2024.116791
通讯作者	Wen, Long-Fei(wen_longfei@iapcm.ac.cn)
英文摘要	An improved XFEM (IXFEM) is developed for the analysis of arbitrary multiple crack initiation, propagation, and interaction in two-dimensional (2-D) elastic solids. The proposed method couples the IXFEM (Tian and Wen, 2015; Tian et al., 2019) and the level set templated cover cutting method (LSTCCM) previously proposed by the authors (Wen et al., 2023). The issues of the standard XFEM arising in a multiple crack simulation, such as the difficulty of level set combination and the more severe ill -conditioning of the global stiffness matrix, are fundamentally eliminated through the above methodology. The crack -tip singularity enrichment is introduced to maintain high accuracy through an extra-DOF-free PU approximation (Tian, 2013). The LSTCCM is substantially enhanced by introducing novel techniques for treating (a) crack kinking and branching, (b) crack junction and intersection, and (c) crack tip movement and coalescence. After the above treatments, the LSTCCM is extended to model the geometry of 2-D evolving cracks in this paper. In addition, an adaptive interaction integral is empirically established for accurately evaluating the stress intensity factors (SIFs) of crack tips close to other cracks or crack tips. To facilitate the analysis of competing cracks, a prediction-correction scheme is proposed based on a set of turning point search algorithms. A calibration-verification- validation benchmarking system is carefully designed, and it highly demonstrates the accuracy, effectiveness, robustness, and reliability of the present approach.
分类号	一类
资助项目	National Natural Science Foundation of China[12102059] ; China Postdoctoral Science Foundation[2023M743604] ; Science Challenge Project of China[TZ2018002] ; Beijing Natural Science Foundation, China[3212027] ; National Key R&D Program of China[2023YFC3007203]
WOS关键词	FINITE-ELEMENT-METHOD ; DISCONTINUITY EMBEDDED APPROACH ; DYNAMIC CRACK ; MESHFREE METHOD ; X-FEM ; GROWTH ; FRACTURE ; COALESCENCE ; SIMULATION ; PARTITION
WOS研究方向	Engineering ; Mathematics ; Mechanics
语种	英语
WOS记录号	WOS:001176701000001
资助机构	National Natural Science Foundation of China ; China Postdoctoral Science Foundation ; Science Challenge Project of China ; Beijing Natural Science Foundation, China ; National Key R&D Program of China
其他责任者	Wen, Long-Fei
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/94741]
专题	力学研究所_国家微重力实验室
作者单位	1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China; 3.CAEP Software Ctr High Performance Numer Simulat, Beijing 100088, Peoples R China; 4.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China;
推荐引用方式 GB/T 7714	Wang, Li Xiang,Wen, LongFei,Tian, Rong,et al. Improved XFEM (IXFEM): Arbitrary multiple crack initiation, propagation and interaction analysis[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2024,421:54.
APA	Wang, Li Xiang,Wen, LongFei,Tian, Rong,&冯春.(2024).Improved XFEM (IXFEM): Arbitrary multiple crack initiation, propagation and interaction analysis.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,421,54.
MLA	Wang, Li Xiang,et al."Improved XFEM (IXFEM): Arbitrary multiple crack initiation, propagation and interaction analysis".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 421(2024):54.