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Shear band formation analysis in soils by the subloading surface model with tangential stress rate effect
Affiliation:1. Department of Agricultural Engineering, Kyushu University, Hakozaki, Higashi-ku, Fukuoka 812-8581, Japan;2. Department of Civil Engineering, Tohoku University, Aramaki, Aoba-ku, Sendai 980-8579, Japan;1. School of Civil Engineering, Chongqing University, Chongqing 400045, China;2. School of Civil Engineering, Shandong University, Jinan 250061, China;3. Department of Civil Engineering, Shanghai University, Shanghai 200444, China;1. School of Engineering, Royal Melbourne Institute of Technology (RMIT), Melbourne, Vic 3001, Australia;2. School of Engineering, The University of Newcastle, Callaghan, NSW 2308, Australia;1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310027, PR China;2. College of Civil Engineering and Architecture, Wenzhou University, Wenzhou 325035, PR China
Abstract:The generalized elastoplastic constitutive equation for soils is proposed based on the subloading surface model extended so as to describe the dependence of both the magnitude and the direction of inelastic stretching on the stress rate tangential to the subloading surface [Int J Plasticity 17 (2001) 117]. It would be applicable to the analysis of deformation of soils in both normal-yield and subyield states for not only lower but also higher stress ratio than that in the critical state. Then, the shear band formation in the rectangular specimen subjected to the biaxial compression under the undrained plane strain condition is analyzed by the generalized equation, and thus the condition for shear band formation and the shear band inclination are discussed in relation to material properties and the state of stress, i.e. the stress-ratio and the normal-yield ratio. These results reveal that the tangential stretching term makes easy to fulfill the necessary condition of shear band formation for not only normal-yield but also subyield states, and further the formation is affected by the material parameter prescribing the approaching degree of the stress to the normal-yield state.
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