A New Deformation Theory with Strain Gradient Effects

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	A New Deformation Theory with Strain Gradient Effects
	Chen SH(陈少华); Wang ZQ(王自强)
刊名	International Journal of Plasticity
	2002
卷号	18 期号:8 页码:971-995
ISSN号	0749-6419
通讯作者	Chen, SH (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China.
英文摘要	A new phenomenological deformation theory with strain gradient effects is proposed. This theory, which belongs to nonlinear elasticity, fits within the framework of general couple stress theory and involves a single material length scale l. In the present theory three rotational degrees of freedom omega(i) are introduced in addition to the conventional three translational degrees of freedom u(i). omega(i) has no direct dependence upon ui and is called the micro-rotation, i.e. the material rotation theta(i) plus the particle relative rotation. The strain energy density is assumed to only be a function of the strain tensor and the overall curvature tensor, which results in symmetric Cauchy stresses. Minimum potential principle is developed for the strain gradient deformation theory version. In the limit of vanishing 1, it reduces to the conventional counterparts: J(2) deformation theory. Equilibrium equations, constitutive relations and boundary conditions are given in details. Comparisons between the present theory and the theory proposed by Shizawa and Zbib (Shizawa, K., Zbib, H.M., 1999. A thermodynamical theory gradient elastoplasticity with dislocation density Censor: fundamentals. Int. J. Plast. 15, 899) are given. With the same hardening law as Fleck et al. (Fleck, N.A., Muller, G.H., Ashby, M.F., Hutchinson, JW., 1994 Strain gradient plasticity: theory and experiment. Acta Metall. Mater 42, 475), the new strain gradient deformation theory is used to investigate two typical examples, i.e. thin metallic wire torsion and ultra-thin metallic beam bend. The results are compared with those given by Fleck et al, 1994 and Stolken and Evans (Stolken, J.S., Evans, A.G., 1998. A microbend test method for measuring the plasticity length scale. Acta Mater. 46, 5109). In addition, it is explained for a unit cell that the overall curvature tensor produced by the overall rotation vector is the work conjugate of the overall couple stress tensor. (C) 2002 Elsevier Science Ltd. All rights reserved.
学科主题	力学
类目[WOS]	Engineering, Mechanical ; Materials Science, Multidisciplinary ; Mechanics
研究领域[WOS]	Engineering ; Materials Science ; Mechanics
关键词[WOS]	STRUCTURED SOLIDS ; DYNAMICAL THEORY ; SINGLE-CRYSTALS ; PLASTICITY ; SCALE
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000176394000002
公开日期	2007-06-15 ; 2007-12-05 ; 2009-06-23
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/17298]
专题	力学研究所_力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	Chen SH,Wang ZQ. A New Deformation Theory with Strain Gradient Effects[J]. International Journal of Plasticity,2002,18(8):971-995.
APA	陈少华,&王自强.(2002).A New Deformation Theory with Strain Gradient Effects.International Journal of Plasticity,18(8),971-995.
MLA	陈少华,et al."A New Deformation Theory with Strain Gradient Effects".International Journal of Plasticity 18.8(2002):971-995.