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

doi:10.1007/s004190050184

IMECH-IR > 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); Zhao, YP (reprint author), Chinese Acad Sci, Inst Mech, Lab Nonlinear Mech Continuous Media, LNM, Beijing 100080, Peoples R China.
发表期刊	Archive of Applied Mechanics
	1998
卷号	68 期号:7-8 页码:524-538
ISSN	0939-1533
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.
学科领域	力学
DOI	10.1007/s004190050184
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000076235100007
WOS研究方向	Mechanics
WOS类目	Mechanics
引用统计	被引频次：87[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/16848
专题	力学所知识产出(1956-2008)
通讯作者	Zhao, YP (reprint author), Chinese Acad Sci, Inst Mech, Lab Nonlinear Mech Continuous Media, LNM, Beijing 100080, Peoples R China.
推荐引用方式 GB/T 7714	Zhao YP,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,&Zhao, YP .(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,et al."Suggestion of a new dimensionless number for dynamic plastic response of beams and plates".Archive of Applied Mechanics 68.7-8(1998):524-538.

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