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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; Wang TC
2010
发表期刊Acta Mechanica
卷号212期号:1-2页码:51-67
ISSN0001-5970
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.
DOI10.1007/s00707-009-0240-x
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收录类别SCI
语种英语
WOS记录号WOS:000277710200004
关键词[WOS]TIP FIELDS ; PLASTICITY ; DEFORMATION ; INDENTATION ; CRACK ; INSTABILITY ; ELASTICITY ; CONTINUUM ; MECHANICS ; CONCRETE
WOS研究方向Mechanics
WOS类目Mechanics
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被引频次:10[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/311007/43515
专题非线性力学国家重点实验室
通讯作者Wang TC
推荐引用方式
GB/T 7714
Yi DK,Wang ZQ,Xiao ZM,et al. 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,&Wang TC.(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.
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