Non‐coaxial elasto‐plasticity model and bifurcation prediction of shear banding in sands

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.

[1]  Koichi Hashiguchi,et al.  The Extended Elastoplastic Constitutive Equation with Tangential Stress Rate Effect , 1997 .

[2]  Ikuo Towhata,et al.  SAND RESPONSE TO CYCLIC ROTATION OF PRINCIPAL STRESS DIRECTIONS AS INDUCED BY WAVE LOADS , 1983 .

[3]  F. Molenkamp.  COMPARISON OF FRICTIONAL MATERIAL MODELS WITH RESPECT TO SHEAR BAND INITIATION , 1985 .

[4]  T. Yoshida,et al.  Shear banding in sands observed in plane strain compression , 1994 .

[5]  S. Sture,et al.  Shear Band Formation in Plane Strain Experiments of Sand , 2000 .

[6]  J. Rice.  Localization of plastic deformation , 1976 .

[7]  Jean-Pierre Bardet,et al.  Lode Dependences for Isotropic Pressure-Sensitive Elastoplastic Materials , 1990 .

[8]  R. Chambon,et al.  Void ratio evolution inside shear bands in triaxial sand specimens studied by computed tomography , 1996 .

[9]  P. Lade,et al.  Shear Banding in True Triaxial Tests and Its Effect on Failure in Sand , 2001 .

[10]  Ioannis Vardoulakis,et al.  Shear band formation in sand according to non-coaxial plasticity model , 1995 .

[11]  S. Pietruszczak,et al.  Deformation of strain softening materials Part II: Modelling of strain softening response , 1987 .

[12]  Yunming Yang,et al.  A non-coaxial critical state soil model and its application to simple shear simulations , 2006 .

[13]  I. G. Vardoulakis,et al.  Plane-strain compression experiments on water-saturated fine-grained sand , 1991 .

[14]  T Dunstan,et al.  Rupture layers in granular media , 1982 .

[15]  J. Rice,et al.  A note on some features of the theory of localization of deformation , 1980 .

[16]  Ioannis Vardoulakis,et al.  Calibration of constitutive models for granular materials using data from biaxial experiments , 1985 .

[17]  Poul V. Lade,et al.  Instability, shear banding, and failure in granular materials , 2002 .

[18]  Gioacchino Viggiani,et al.  Shear bands in plane strain compression of loose sand , 1997 .

[19]  Jun Yang,et al.  Three-Dimensional Noncoaxial Plasticity Modeling of Shear Band Formation in Geomaterials , 2008 .

[20]  Kenneth Runesson,et al.  Evaluation of Plastic Bifurcation for Plane Strain versus Axisymmetry , 1992 .

[21]  Jean-Pierre Bardet,et al.  Orientation of Shear Bands in Frictional Soils , 1991 .

[22]  E. P. Warnke,et al.  CONSTITUTIVE MODEL FOR THE TRIAXIAL BEHAVIOR OF CONCRETE , 1975 .

[23]  Jean-Pierre Bardet,et al.  A comprehensive review of strain localization in elastoplastic soils. , 1990 .

[24]  J. Rice,et al.  CONDITIONS FOR THE LOCALIZATION OF DEFORMATION IN PRESSURE-SENSITIVE DILATANT MATERIALS , 1975 .

[25]  Jerry A. Yamamuro,et al.  Effects of Silt on Three-Dimensional Stress–Strain Behavior of Loose Sand , 2003 .

[26]  H. Yu,et al.  On a class of non-coaxial plasticity models for granular soils , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[27]  Ikuo Towhata,et al.  FLOW THEORY FOR SAND DURING ROTATION OF PRINCIPAL STRESS DIRECTION , 1991 .

[28]  J. Chu,et al.  Strain softening and shear band formation of sand in multi-axial testing , 1996 .