|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 Publication||International Journal of Solids and Structures
|Abstract||Plastic 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.|
|Keyword||Shear Band Localization
Strain Gradient Theory
|WOS Keyword||METAL-MATRIX COMPOSITES
; COUPLE STRESS
; INDENTATION HARDNESS
|WOS Research Area||Mechanics
|Funding Organization||The 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.
|Corresponding Author||Chen, SH (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China|
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.
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.
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.
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.