Novel displacement function for discontinuous deformation analysis based on mean value coordinates

doi:10.1002/nme.6491

	Novel displacement function for discontinuous deformation analysis based on mean value coordinates
	Jiang, Wei 1,4; Xu, Junjie 4; Zheng, Hong 2,3; Wang, Yanhai 1; Sun, Guanhua 2; Yang, Yongtao 2
刊名	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
	2020-08-12
页码	25
关键词	discontinuous deformation analysis (DDA) false volume expansion mean value coordinates
ISSN号	0029-5981
DOI	10.1002/nme.6491
英文摘要	The rotation degree of freedom in discontinuous deformation analysis (DDA) may cause false volume expansion when a block undergoes a large rotation. We propose a block displacement function to prevent this defect. Specifically, the degrees of freedom in a block are redefined by incremental displacements at its vertices, and displacement is formulated based on the mean value coordinates. In addition, the finite element method with updated Lagrangian formulation is employed to derive the equilibrium equations, while the contact analysis and implicit time integration for dynamics is maintained from the original DDA. After each time step, the block configuration is updated by adding the new degrees of freedom to the previous coordinates of the block vertices. Results from numerical examples confirm the effectiveness of the proposed approach to prevent false volume expansion, ensure correctness of contact analysis, and provide realistic stress results when simulating large rotations.
资助项目	Scientific Research Fund of the Institute of Engineering Mechanics, China Earthquake Administration[2019D07] ; Youth Innovation Promotion Association CAS[2020327]
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	WILEY
WOS记录号	WOS:000558447600001
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/24666]
专题	中科院武汉岩土力学所
通讯作者	Jiang, Wei
作者单位	1.China Three Gorges Univ, Key Lab Geol Hazards Three Gorges Reservoir Area, Minist Educ, Yichang 443002, Hubei, Peoples R China 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan, Peoples R China 3.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing, Peoples R China 4.China Earthquake Adm, Inst Engn Mech, Key Lab Earthquake Engn & Engn Vibrat, Harbin, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Wei,Xu, Junjie,Zheng, Hong,et al. Novel displacement function for discontinuous deformation analysis based on mean value coordinates[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2020:25.
APA	Jiang, Wei,Xu, Junjie,Zheng, Hong,Wang, Yanhai,Sun, Guanhua,&Yang, Yongtao.(2020).Novel displacement function for discontinuous deformation analysis based on mean value coordinates.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,25.
MLA	Jiang, Wei,et al."Novel displacement function for discontinuous deformation analysis based on mean value coordinates".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2020):25.