Analysis of some low order quadrilateral Reissner-Mindlin plate elements

	Analysis of some low order quadrilateral Reissner-Mindlin plate elements
	Ming, Pingbing; Shi, Zhong-Ci
	2006
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	75 期号:255 页码:1043-1065
摘要	Four quadrilateral elements for the Reissner-Mindlin plate model are considered. The elements are the stabilized MITC4 element of Lyly, Stenberg and Vihinen (1933), the MIN4 element of Tessler and Hughes (1983), the Q4BL element of Zienkiewicz et al. (1993) and the FMIN4 element of Kikuchi and Ishii (1999). For all elements except the Q4BL element, a unifying variational formulation is introduced, and optimal H-1 and L-2 error bounds uniform in the plate thickness are proven. Moreover, we propose a modified Q4BL element and show that it admits the optimal H-1 and L-2 error bounds uniform in the plate thickness. In particular, we study the convergence behavior of all elements regarding the mesh distortion.
关键词	Reissner-Mindlin plate stabilized methods locking-free
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000239181800002
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3363
专题	计算数学与科学工程计算研究所
通讯作者	Ming, Pingbing
作者单位	Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ming, Pingbing,Shi, Zhong-Ci. Analysis of some low order quadrilateral Reissner-Mindlin plate elements[J]. MATHEMATICS OF COMPUTATION,2006,75(255):1043-1065.
APA	Ming, Pingbing,&Shi, Zhong-Ci.(2006).Analysis of some low order quadrilateral Reissner-Mindlin plate elements.MATHEMATICS OF COMPUTATION,75(255),1043-1065.
MLA	Ming, Pingbing,et al."Analysis of some low order quadrilateral Reissner-Mindlin plate elements".MATHEMATICS OF COMPUTATION 75.255(2006):1043-1065.