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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
Source PublicationActa Mechanica
2010
Volume212Issue:1-2Pages:51-67
ISSN0001-5970
AbstractA 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
URL查看原文
Indexed BySCI
Language英语
WOS IDWOS:000277710200004
WOS KeywordTIP FIELDS ; PLASTICITY ; DEFORMATION ; INDENTATION ; CRACK ; INSTABILITY ; ELASTICITY ; CONTINUUM ; MECHANICS ; CONCRETE
WOS Research AreaMechanics
WOS SubjectMechanics
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/43515
Collection非线性力学国家重点实验室
Corresponding AuthorWang TC
Recommended Citation
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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