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Prediction of the initial thickness of shear band localization based on a reduced strain gradient theory
Chen SH(陈少华); Feng B(冯彪); Wei YG(魏悦广); Wang ZQ(王自强); Chen, SH (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China
Source PublicationInternational Journal of Solids and Structures
2011
Volume48Issue:21Pages:3099-3111
ISSN0020-7683
AbstractPlastic flow localization in ductile materials subjected to pure shear loading and uniaxial tension is investigated respectively in this paper using a reduced strain gradient theory, which consists of the couple-stress (CS) strain gradient theory proposed by Fleck and Hutchinson (1993) and the strain gradient hardening (softening) law (C-W) proposed by Chen and Wang (2000). Unlike the classical plasticity framework, the initial thickness of the shear band and the strain rate distribution in both cases are predicted analytically using a bifurcation analysis. It shows that the strain rate is obviously non-uniform inside the shear band and reaches a maximum at the center of the shear band. The initial thickness of the shear band depends on not only the material intrinsic length la but also the material constants, such as the yield strength, ultimate tension strength, the linear hardening and softening shear moduli. Specially, in the uniaxial tension case, the most possible tilt angle of shear band localization is consistent qualitatively with the existing experimental observations. The results in this paper should be useful for engineers to predict the details of material failures due to plastic flow localization. (C) 2011 Elsevier Ltd. All rights reserved.
KeywordShear Band Localization Thickness Tilt Angle Strain Gradient Theory Metal-matrix Composites Single-crystals Couple Stress Mechanical-properties Indentation Hardness Deformation-theory Plasticity Substrate Nanoindentation Elasticity
Subject AreaMechanics
DOI10.1016/j.ijsolstr.2011.07.007
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000295422900010
WOS KeywordMETAL-MATRIX COMPOSITES ; SINGLE-CRYSTALS ; COUPLE STRESS ; MECHANICAL-PROPERTIES ; INDENTATION HARDNESS ; DEFORMATION-THEORY ; PLASTICITY ; SUBSTRATE ; NANOINDENTATION ; ELASTICITY
WOS Research AreaMechanics
WOS SubjectMechanics
Funding OrganizationThe work reported here is supported by NSFC through Grants #10972220, #10732050, and #11021262. In addition, the authors should give their many thanks to the two anonymous reviewers for their helpful and professional suggestions.
DepartmentLNM仿生材料与固体的微尺度力学
Classification一类/力学重要期刊
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/44900
Collection非线性力学国家重点实验室
Corresponding AuthorChen, SH (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Chen SH,Feng B,Wei YG,et al. Prediction of the initial thickness of shear band localization based on a reduced strain gradient theory[J]. International Journal of Solids and Structures,2011,48(21):3099-3111.
APA 陈少华,冯彪,魏悦广,王自强,&Chen, SH .(2011).Prediction of the initial thickness of shear band localization based on a reduced strain gradient theory.International Journal of Solids and Structures,48(21),3099-3111.
MLA 陈少华,et al."Prediction of the initial thickness of shear band localization based on a reduced strain gradient theory".International Journal of Solids and Structures 48.21(2011):3099-3111.
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