Dynamic crack propagation analysis combined the stable scheme and continuous-discontinuous cellular automaton

doi:10.1016/j.engfracmech.2020.107390

	Dynamic crack propagation analysis combined the stable scheme and continuous-discontinuous cellular automaton
	Yan, Fei 1,2,3; Zhang, Wei 1,3; Pan, Peng-Zhi 1,3; Li, Shao-Jun 3
刊名	ENGINEERING FRACTURE MECHANICS
	2021
卷号	241 页码:19
关键词	The continuous-discontinuous cellular automaton The stable scheme The adaptive updating scheme Dynamic crack propagation Numerical stability
ISSN号	0013-7944
DOI	10.1016/j.engfracmech.2020.107390
英文摘要	A continuous-discontinuous cellular automaton method (CDCA) is developed for dynamic crack propagation. First, a separated time integral scheme is built, in which time difference is divided into two separated time steps: one balances the change of the geometric discretization caused by crack growing, and the other balances the dynamic loading. Second, an adaptive energy conservation strategy is proposed for the CDCA that includes the change in the degree of nodal freedom for the crack tip element, and a new strategy for the inheritance of the degrees of nodal freedom is proposed. This method retains the enrichment scheme for the discontinuity, and the Shepard interpolation method is employed to transform the variables' values, so as to keeps the energy conservation caused by crack tip location change. Then, the enriched degree of nodal freedom values are easily passed from the crack tip enrichment to the penetrated enrichment and crack tip local coordinate system changing with crack growing. Third, a dynamic crack propagation criterion is developed, which can be used for tensile fractures and compression shear fractures. Based on those theories, a new cellular automaton model is built for dynamic crack propagation. Compared to the extended finite element method (XFEM), the calculation efficiency has been greatly improved, and several numerical examples are given to illustrate accuracy and efficiency of the present method.
资助项目	National Nature Science Foundation of China[51621006] ; State Key Research Development Program of China[2017YFC0804203] ; Key Research Program of Frontier Sciences, Chinese Academy of Sciences[QYZDB-SSW-DQC029]
WOS研究方向	Mechanics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000605615400010
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/25536]
专题	中科院武汉岩土力学所
通讯作者	Pan, Peng-Zhi
作者单位	1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.CAS Ctr Excellence Complex Syst Mech, Beijing, Peoples R China 3.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Yan, Fei,Zhang, Wei,Pan, Peng-Zhi,et al. Dynamic crack propagation analysis combined the stable scheme and continuous-discontinuous cellular automaton[J]. ENGINEERING FRACTURE MECHANICS,2021,241:19.
APA	Yan, Fei,Zhang, Wei,Pan, Peng-Zhi,&Li, Shao-Jun.(2021).Dynamic crack propagation analysis combined the stable scheme and continuous-discontinuous cellular automaton.ENGINEERING FRACTURE MECHANICS,241,19.
MLA	Yan, Fei,et al."Dynamic crack propagation analysis combined the stable scheme and continuous-discontinuous cellular automaton".ENGINEERING FRACTURE MECHANICS 241(2021):19.