Bending of Nonconforming Thin Plates Based on the Mixed-Order Manifold Method with Background Cells for Integration

doi:10.1155/2020/6681214

CORC > 成都山地灾害与环境研究所 > 中国科学院水利部成都山地灾害与环境研究所 > 山地灾害与地表过程重点实验室

	Bending of Nonconforming Thin Plates Based on the Mixed-Order Manifold Method with Background Cells for Integration
	Qu, Xin 1; Su, Lijun 2; Liu, Zhijun 3,4; Xu, Xingqian 5; Diao, Fangfang 6; Li, Wei 7
刊名	ADVANCES IN MATERIALS SCIENCE AND ENGINEERING
	2020
卷号	2020 页码:6681214
ISSN号	1687-8434
DOI	10.1155/2020/6681214
通讯作者	Liu, Zhijun(liuzhijun@lzu.edu.cn)
产权排序	2
文献子类	Article
英文摘要	As it is very difficult to construct conforming plate elements and the solutions achieved with conforming elements yield inferior accuracy to those achieved with nonconforming elements on many occasions, nonconforming elements, especially Adini's element (ACM element), are often recommended for practical usage. However, the convergence, good numerical accuracy, and high computing efficiency of ACM element with irregular physical boundaries cannot be achieved using either the finite element method (FEM) or the numerical manifold method (NMM). The mixed-order NMM with background cells for integration was developed to analyze the bending of nonconforming thin plates with irregular physical boundaries. Regular meshes were selected to improve the convergence performance; background cells were used to improve the integration accuracy without increasing the degrees of freedom, retaining the efficiency as well; the mixed-order local displacement function was taken to improve the interpolation accuracy. With the penalized formulation fitted to the NMM for Kirchhoff's thin plate bending, a new scheme was proposed to deal with irregular domain boundaries. Based on the present computational framework, comparisons with other studies were performed by taking several typical examples. The results indicated that the solutions achieved with the proposed NMM rapidly converged to the analytical solutions and their accuracy was vastly superior to that achieved with the FEM and the traditional NMM.
电子版国际标准刊号	1687-8442
资助项目	Natural Science Foundation of Henan[202300410011] ; Doctoral Scientific Research Foundation of Anyang Institute of Technology[BSJ2018009] ; National Basic Research Program of China[2013CB733201] ; Youth Program of National Natural Science Foundation of China[11902134] ; National Natural Science Foundation of China[41867040]
WOS关键词	VIBRATION ; ELEMENT
WOS研究方向	Materials Science
语种	英语
出版者	HINDAWI LTD
WOS记录号	WOS:000601303100001
资助机构	Natural Science Foundation of Henan ; Doctoral Scientific Research Foundation of Anyang Institute of Technology ; National Basic Research Program of China ; Youth Program of National Natural Science Foundation of China ; National Natural Science Foundation of China
内容类型	期刊论文
源URL	[http://ir.imde.ac.cn/handle/131551/55106]
专题	成都山地灾害与环境研究所_山地灾害与地表过程重点实验室
通讯作者	Liu, Zhijun
作者单位	1.Anyang Inst Technol, Sch Civil & Architecture Engn, Anyang 455000, Peoples R China; 2.Chinese Acad Sci, Inst Mt Hazards & Environm, Key Lab Mt Hazards & Earth Surface Proc, Chengdu 610041, Peoples R China; 3.Lanzhou Univ, Coll Civil Engn & Mech, Lanzhou 730000, Gansu, Peoples R China; 4.Lanzhou Univ, Minist Educ China, Key Lab Mech Disaster & Environm Western China, Lanzhou 730000, Gansu, Peoples R China; 5.Yunnan Agr Univ, Coll Water Conservancy, Kunming 650201, Yunnan, Peoples R China; 6.Anyang Inst Technol, Sch Foreign Languages, Anyang 455000, Peoples R China; 7.Linyi Univ, Inst Civil Engn & Architecture, Linyi 276005, Shandong, Peoples R China
推荐引用方式 GB/T 7714	Qu, Xin,Su, Lijun,Liu, Zhijun,et al. Bending of Nonconforming Thin Plates Based on the Mixed-Order Manifold Method with Background Cells for Integration[J]. ADVANCES IN MATERIALS SCIENCE AND ENGINEERING,2020,2020:6681214.
APA	Qu, Xin,Su, Lijun,Liu, Zhijun,Xu, Xingqian,Diao, Fangfang,&Li, Wei.(2020).Bending of Nonconforming Thin Plates Based on the Mixed-Order Manifold Method with Background Cells for Integration.ADVANCES IN MATERIALS SCIENCE AND ENGINEERING,2020,6681214.
MLA	Qu, Xin,et al."Bending of Nonconforming Thin Plates Based on the Mixed-Order Manifold Method with Background Cells for Integration".ADVANCES IN MATERIALS SCIENCE AND ENGINEERING 2020(2020):6681214.