The refined theory and the decomposed theorem of a transversely   isotropic elastic plate

doi:10.1016/j.euromechsol.2012.12.002

CORC > 北京大学 > 工学院

	The refined theory and the decomposed theorem of a transversely isotropic elastic plate
	Zhao, Bao-sheng ; Wu, Di ; Wang, Min-zhong
刊名	european journal of mechanics a solids
	2013
关键词	Elastic plate Transversely isotropic Refined theory Decomposed theorem Elliott-Lodge general solution PAPKOVICH-FADLE EIGENFUNCTIONS SEMI-INFINITE STRIP 3-DIMENSIONAL THEORY COMPLETENESS DEFORMATION BODY FORM
DOI	10.1016/j.euromechsol.2012.12.002
英文摘要	The refined theory of a transversely isotropic elastic plate is analysed. Based on the transversely isotropic elastic theory, a refined theory for bending thick plates is derived using the Elliott-Lodge's solution and Lur'e method without ad hoc assumptions. First, the expressions for all of the displacements and stress components of a transversely isotropic elastic plate were obtained in terms of the mid-plane displacement and its derivatives. Based on the refined theory, the exact equation for the plate without transverse surface loadings consists of three governing differential equations: the bi-harmonic equation, the shear equation and the transcendental equation. Using basic mathematical methods and the refined theory, the decomposed form of a transversely isotropic elasticity plate was obtained. The interior state, the shear state and the transcendental states of the decomposed form can be derived directly from the three equations of the refined theory. Finally, the equations for the plate under general loadings are derived directly from the refined theory. (C) 2012 Elsevier Masson SAS. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000315837800024&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mechanics; SCI(E); EI; 7; ARTICLE; 243-250; 39
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/225123]
专题	工学院
推荐引用方式 GB/T 7714	Zhao, Bao-sheng,Wu, Di,Wang, Min-zhong. The refined theory and the decomposed theorem of a transversely isotropic elastic plate[J]. european journal of mechanics a solids,2013.
APA	Zhao, Bao-sheng,Wu, Di,&Wang, Min-zhong.(2013).The refined theory and the decomposed theorem of a transversely isotropic elastic plate.european journal of mechanics a solids.
MLA	Zhao, Bao-sheng,et al."The refined theory and the decomposed theorem of a transversely isotropic elastic plate".european journal of mechanics a solids (2013).