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Non‐coaxial elasto‐plasticity model and bifurcation prediction of shear banding in sands
Author(s) -
Huang Maosong,
Lu Xilin,
Qian Jiangu
Publication year - 2009
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.838
Subject(s) - coaxial , plasticity , triaxial shear test , shear (geology) , geotechnical engineering , principal stress , bifurcation , constitutive equation , shear band , mechanics , mohr–coulomb theory , shear stress , materials science , structural engineering , geology , engineering , physics , finite element method , composite material , nonlinear system , quantum mechanics , electrical engineering
Numerous constitutive models built on coaxial theory and validated under axi‐symmetric condition often describe the stress–stain relationships and predict the inceptions of shear banding in sands inaccurately under true triaxial condition. By adopting an elaborated Mohr–Coulomb yield function and using non‐coaxial non‐associated flow rule, a 3D non‐coaxial elasto‐plasticity model is proposed and validated by a series of true triaxial tests on loose sands. The bifurcation analysis of true triaxial tests on dense sands predicts the influence of the intermediate principal stress ratio on the onset of shear band accurately. The failure of soils is shown to be related to the formation of shear band under most intermediate principal stress ratio conditions except for those which are close to the axi‐symmetric compression condition. Copyright © 2009 John Wiley & Sons, Ltd.