Two lower order nonconforming quadrilateral elements for the Reissner-Mindlin plate

doi:10.1007/s11425-008-0087-y

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Two lower order nonconforming quadrilateral elements for the Reissner-Mindlin plate
	Hu Jun 1,2; Shi ZhongCi3
刊名	SCIENCE IN CHINA SERIES A-MATHEMATICS
	2008-11-01
卷号	51 期号:11 页码:2097-2114
关键词	Reissner-Mindlin plate bilinear element rotated Q(1) element locking-free
ISSN号	1006-9283
DOI	10.1007/s11425-008-0087-y
英文摘要	This paper generalizes two nonconforming rectangular elements of the Reissner-Mindlin plate to the quadrilateral mesh. The first quadrilateral element uses the usual conforming bilinear element to approximate both components of the rotation, and the modified nonconforming rotated Q(1) element enriched with the intersected term on each element to approximate the displacement, whereas the second one uses the enriched modified nonconforming rotated Q(1) element to approximate both the rotation and the displacement. Both elements employ a more complicated shear force space to overcome the shear force locking, which will be described in detail in the introduction. We prove that both methods converge at optimal rates uniformly in the plate thickness t and the mesh distortion parameter in both the H(1)- and the L(2)-norms, and consequently they are locking free.
资助项目	National Natural Science Foundation of China[10601003] ; National Excellent Doctoral Dissertation of China[200718]
WOS研究方向	Mathematics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000259820400015
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/6710]
专题	计算数学与科学工程计算研究所
通讯作者	Hu Jun
作者单位	1.Peking Univ, LMAM, Beijing 100871, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu Jun,Shi ZhongCi. Two lower order nonconforming quadrilateral elements for the Reissner-Mindlin plate[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2008,51(11):2097-2114.
APA	Hu Jun,&Shi ZhongCi.(2008).Two lower order nonconforming quadrilateral elements for the Reissner-Mindlin plate.SCIENCE IN CHINA SERIES A-MATHEMATICS,51(11),2097-2114.
MLA	Hu Jun,et al."Two lower order nonconforming quadrilateral elements for the Reissner-Mindlin plate".SCIENCE IN CHINA SERIES A-MATHEMATICS 51.11(2008):2097-2114.