Strain gradient theory based on a new framework of non-local model

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	Strain gradient theory based on a new framework of non-local model
	Yi DK(易大可); Wang ZQ(王自强); Xiao ZM
刊名	Acta Mechanica
	2010
通讯作者邮箱	tcwang@imech.ac.cn
卷号	212 期号:1-2 页码:51-67
ISSN号	0001-5970
通讯作者	Wang TC
合作状况	国际
中文摘要	A new framework of non-local model for the strain energy density is proposed in this paper. The global strain energy density of the representative volume element is treated as a non-local variable and can be obtained through a special integral of the local strain energy density. The local strain energy density is assumed to be dependent on both the strain and the rotation-gradient. As a result of the non-local model, a new strain gradient theory is derived directly, in which the first and second strain gradients, as well as the triadic and tetradic stress, are introduced in the context of work conjugate. For power law hardening materials, size effects in thin metallic wire torsion and ultra-thin cantilever beam bend are investigated. It is found that the result predicted by the theoretical model is well consistent with the experimental data for the thin wire torsion. On the other hand, the calculation result for the micro-cantilever beam bend clearly shows the size effect.
类目[WOS]	Mechanics
研究领域[WOS]	Mechanics
关键词[WOS]	TIP FIELDS ; PLASTICITY ; DEFORMATION ; INDENTATION ; CRACK ; INSTABILITY ; ELASTICITY ; CONTINUUM ; MECHANICS ; CONCRETE
收录类别	SCI
原文出处	http://www.springerlink.com/content/a64h6k7180389m87/
语种	英语
WOS记录号	WOS:000277710200004
公开日期	2011-03-01 ; 2011-03-30
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/43515]
专题	力学研究所_非线性力学国家重点实验室
推荐引用方式 GB/T 7714	Yi DK,Wang ZQ,Xiao ZM. Strain gradient theory based on a new framework of non-local model[J]. Acta Mechanica,2010,212(1-2):51-67.
APA	易大可,王自强,&Xiao ZM.(2010).Strain gradient theory based on a new framework of non-local model.Acta Mechanica,212(1-2),51-67.
MLA	易大可,et al."Strain gradient theory based on a new framework of non-local model".Acta Mechanica 212.1-2(2010):51-67.