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Title:
Strain gradient theory based on a new framework of non-local model
Author: Yi DK(易大可); Wang ZQ(王自强); Xiao ZM
Source: Acta Mechanica
Issued Date: 2010
Volume: 212, Issue:1-2, Pages:51-67
Abstract: 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.
Language: 英语
Indexed Type: SCI
Corresponding Author: Wang TC
Correspondent Email: tcwang@imech.ac.cn
DOI: 10.1007/s00707-009-0240-x
Related URLs: 查看原文
DOC Type: Article
WOS Subject: Mechanics
WOS Subject Extended: Mechanics
WOS Keyword Plus: TIP FIELDS ; PLASTICITY ; DEFORMATION ; INDENTATION ; CRACK ; INSTABILITY ; ELASTICITY ; CONTINUUM ; MECHANICS ; CONCRETE
WOS ID: WOS:000277710200004
ISSN: 0001-5970
Citation statistics:
Content Type: 期刊论文
URI: http://dspace.imech.ac.cn/handle/311007/43515
Appears in Collections:非线性力学国家重点实验室_期刊论文

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Recommended Citation:
Yi DK,Wang ZQ,Xiao ZM. Strain gradient theory based on a new framework of non-local model[J]. Acta Mechanica,2010-01-01,212(1-2):51-67.
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