Suggestion of a new dimensionless number for dynamic plastic response of beams and plates

CORC > 力学研究所 > 中国科学院力学研究所 > 力学所知识产出(1956-2008)

	Suggestion of a new dimensionless number for dynamic plastic response of beams and plates
	Zhao YP(赵亚溥)
刊名	Archive of Applied Mechanics
	1998
卷号	68 期号:7-8 页码:524-538
ISSN号	0939-1533
通讯作者	Zhao, YP (reprint author), Chinese Acad Sci, Inst Mech, Lab Nonlinear Mech Continuous Media, LNM, Beijing 100080, Peoples R China.
中文摘要	A dimensionless number, termed response number in the present paper, is suggested for the dynamic plastic response of beams and plates made of rigid-perfectly plastic materials subjected to dynamic loading. It is obtained at dimensional reduction of the basic governing equations of beams and plates. The number is defined as the product of the Johnson's damage number and the square of the half of the slenderness ratio for a beam; the product of the damage number and the square of the half of the aspect ratio for a plate or membrane loaded dynamically. Response number can also be considered as the ratio of the inertia force at the impulsive loading to the plastic limit load of the structure. Three aspects are reflected in this dimensionless number: the inertia of the applied dynamic loading, the resistance ability of the material to the deformation caused by the loading and the geometrical influence of the structure on the dynamic response. For an impulsively loaded beam or plate, the final dimensionless deflection is solely dependent upon the response number. When the secondary effects of finite deflections, strain-rate sensitivity or transverse shear are taken into account, the response number is as useful as in the case of simple bending theory. Finally, the number is not only suitable to idealized dynamic loads but also applicable to dynamic loads of general shape.
学科主题	力学
类目[WOS]	Mechanics
研究领域[WOS]	Mechanics
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000076235100007
公开日期	2007-06-15 ; 2007-12-05 ; 2009-06-23
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/16848]
专题	力学研究所_力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	Zhao YP. Suggestion of a new dimensionless number for dynamic plastic response of beams and plates[J]. Archive of Applied Mechanics,1998,68(7-8):524-538.
APA	赵亚溥.(1998).Suggestion of a new dimensionless number for dynamic plastic response of beams and plates.Archive of Applied Mechanics,68(7-8),524-538.
MLA	赵亚溥."Suggestion of a new dimensionless number for dynamic plastic response of beams and plates".Archive of Applied Mechanics 68.7-8(1998):524-538.