Vertex Displacement-Based Discontinuous Deformation Analysis Using Virtual Element Method

doi:10.3390/ma14051252

	Vertex Displacement-Based Discontinuous Deformation Analysis Using Virtual Element Method
	Luo, Hongming 3; Sun, Guanhua 2,3; Liu, Lipeng 2; Jiang, Wei 1,2
刊名	MATERIALS
	2021-03-01
卷号	14 期号:5 页码:24
关键词	DDA VEM degrees of freedom projection
DOI	10.3390/ma14051252
英文摘要	To avoid disadvantages caused by rotational degrees of freedom in the original Discontinuous Deformation Analysis (DDA), a new block displacement mode is defined within a time step, where displacements of all the block vertices are taken as the degrees of freedom. An individual virtual element space V-1(omega) is defined for a block to illustrate displacement of the block using the Virtual Element Method (VEM). Based on VEM theory, the total potential energy of the block system in DDA is formulated and minimized to obtain the global equilibrium equations. At the end of a time step, the vertex coordinates are updated by adding their incremental displacement to their previous coordinates. In the new method, no explicit expression for the displacement u is required, and all numerical integrations can be easily computed. Four numerical examples originally designed by Shi are analyzed, verifying the effectiveness and precision of the proposed method.
资助项目	Open Research Fund of State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin (China Institute of Water Resources and Hydropower Research)[IWHR-SKL-202020] ; National Natural Science Funds[52079070] ; National Natural Science Funds[42077270]
WOS研究方向	Chemistry ; Materials Science ; Metallurgy & Metallurgical Engineering ; Physics
语种	英语
出版者	MDPI
WOS记录号	WOS:000628368600001
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/25939]
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, Minist Educ, Key Lab Geol Hazards Three Gorges Reservoir Area, Yichang 443002, Peoples R China 2.China Inst Water Resources & Hydropower Res, State Key Lab Simulat & Regulat Water Cycle River, Beijing 100038, 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	Luo, Hongming,Sun, Guanhua,Liu, Lipeng,et al. Vertex Displacement-Based Discontinuous Deformation Analysis Using Virtual Element Method[J]. MATERIALS,2021,14(5):24.
APA	Luo, Hongming,Sun, Guanhua,Liu, Lipeng,&Jiang, Wei.(2021).Vertex Displacement-Based Discontinuous Deformation Analysis Using Virtual Element Method.MATERIALS,14(5),24.
MLA	Luo, Hongming,et al."Vertex Displacement-Based Discontinuous Deformation Analysis Using Virtual Element Method".MATERIALS 14.5(2021):24.