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A higher-order stress point method for non-ordinary state-based peridynamics
Cui, Hao2,3; Li, Chunguang3; Zheng, Hong1
刊名ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
2020-08-01
卷号117页码:104-118
关键词Peridynamics Zero-energy mode Stress points Nodal integrations
ISSN号0955-7997
DOI10.1016/j.enganabound.2020.03.016
英文摘要A higher-order stress point method for non-ordinary state-based peridynamic (NOSB-PD) is presented. The stress point is interpolated by its adjacent original nodes, where the second-order peridynamic derivatives are determined according to the peridynamic differential operator. By introducing the higher-order derivatives, the proposed stress point method could efficiently suppress the zero-energy mode oscillations. In contrast to other available control methods, the stress point method has better accuracy and stability, and much fewer period elongations in the dynamic calculation. More importantly, the method does not require any additional parameters and it can mitigate the errors arising from the surface effect as well. Furthermore, the proposed method can easily solve the discontinuities problems since it leverages the non-local property of the NOSB-PD. As demonstrated in the last two examples, the phenomena of crack propagation and branching are successfully captured by the proposed stress point method.
WOS研究方向Engineering ; Mathematics
语种英语
出版者ELSEVIER SCI LTD
WOS记录号WOS:000540833400009
内容类型期刊论文
源URL[http://119.78.100.198/handle/2S6PX9GI/24406]  
专题中科院武汉岩土力学所
通讯作者Li, Chunguang
作者单位1.Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn, Beijing 100124, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
3.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan, Peoples R China
推荐引用方式
GB/T 7714
Cui, Hao,Li, Chunguang,Zheng, Hong. A higher-order stress point method for non-ordinary state-based peridynamics[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2020,117:104-118.
APA Cui, Hao,Li, Chunguang,&Zheng, Hong.(2020).A higher-order stress point method for non-ordinary state-based peridynamics.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,117,104-118.
MLA Cui, Hao,et al."A higher-order stress point method for non-ordinary state-based peridynamics".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 117(2020):104-118.
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