Two nonconforming quadrilateral elements for the Reissner-Mindlin plate

	Two nonconforming quadrilateral elements for the Reissner-Mindlin plate
	Ming, PB; Shi, ZC
	2005-10-01
发表期刊	MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
ISSN	0218-2025
卷号	15 期号:10 页码:1503-1517
摘要	We construct two low order nonconforming quadrilateral elements for the Reissner-Mindlin plate. The first one consists of a modified nonconforming rotated Q(1) element for one component of the rotation and the standard four-node isoparametric element for the other component as well as for the the approximation of the transverse displacement, a modified rotated Raviart-Thomas interpolation operator is employed as the shear reduction operator. The second differs from the first only in the approximation of the rotation, which employs the modified rotated Q(1) element for both components of the rotation, and a jump term accounting the discontinuity of the rotation approximation is included in the variational formulation. Both elements give optimal error bounds uniform in the plate thickness with respect to the energy norm as well as the L-2 norm.
关键词	locking-free quadrilateral nonconforming rotated Q(1) element Reissner-Mindlin plate
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000232562600004
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1459
专题	计算数学与科学工程计算研究所
通讯作者	Ming, PB
作者单位	Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ming, PB,Shi, ZC. Two nonconforming quadrilateral elements for the Reissner-Mindlin plate[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2005,15(10):1503-1517.
APA	Ming, PB,&Shi, ZC.(2005).Two nonconforming quadrilateral elements for the Reissner-Mindlin plate.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,15(10),1503-1517.
MLA	Ming, PB,et al."Two nonconforming quadrilateral elements for the Reissner-Mindlin plate".MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 15.10(2005):1503-1517.