Analysis of some stabilized low-order mixed finite element methods for Reissner-Mindlin plates

CSpace

	Analysis of some stabilized low-order mixed finite element methods for Reissner-Mindlin plates
	Duan, HY; Liang, GP
	2001
发表期刊	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN	0045-7825
卷号	191 期号:3-5 页码:157-179
摘要	New low-order mixed finite element methods are established for the Reissner-Mindlin plate problem under a clamped boundary condition, employing equal order (bi)linear interpolants for the rotation and the lateral displacement and discontinuous constant (or constant locally enriched by a special function, or linear) interpolant for the shear stress, where two stabilization terms are introduced one of which is used to control the jump of the normal trace of the shear stress across the interelement boundaries and the other is in essence used to control the rotation by modifying the thickness of the plate. When using macro-element for the displacement, the stabilization term pertaining to the jump of the normal trace of the shear stress can be dropped, since the jump can be automatically controlled. It is shown that all these methods are stable and optimal convergent, including in the L-2-norm for the rotation and the displacement, uniform in the thickness of the plate. (C) 2001 Elsevier Science B.V. All rights reserved.
关键词	Reissner-Mindlin plates mixed finite element method
语种	英语
WOS研究方向	Engineering ; Mathematics ; Mechanics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000172393800001
出版者	ELSEVIER SCIENCE SA
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16587
专题	中国科学院数学与系统科学研究院
通讯作者	Duan, HY
作者单位	Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Duan, HY,Liang, GP. Analysis of some stabilized low-order mixed finite element methods for Reissner-Mindlin plates[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2001,191(3-5):157-179.
APA	Duan, HY,&Liang, GP.(2001).Analysis of some stabilized low-order mixed finite element methods for Reissner-Mindlin plates.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,191(3-5),157-179.
MLA	Duan, HY,et al."Analysis of some stabilized low-order mixed finite element methods for Reissner-Mindlin plates".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 191.3-5(2001):157-179.