Crushing and plastic deformation of soils simulated using DEM

Cheng and co-workers showed how to make numerical simulations of crushable soils by the discrete element method (DEM). Stress-path tests on triaxial elements comprising crushable agglomerates have now been simulated. The plastic behaviour of this numerically generated soil closely resembles that of real sand. Crushing in the aggregate begins at stresses less than one tenth of the characteristic strength of single grains. The yield surfaces of isotropic ‘lightly overconsolidated’ DEM simulations are also contours of breakage, and are elliptical on Cambridge-style (q, p′) plots and symmetrical about the p′ axis. The points of maximum deviator stress at yield lie along lines of stress ratio My = ±0·8, but the plastic strain increments at yield are non-associated, giving more contraction than normality would allow. Significantly, therefore, the stress ratio My was found not to coincide with critical states. All stress-path simulations yielding with q/p′ > My were found to satisfy the requirements of stress–di...

[1]  Richard J. Jardine,et al.  THE YIELDING OF BOTHKENNAR CLAY , 1992 .

[2]  Malcolm D. Bolton,et al.  Discrete element simulation of crushable soil , 2003 .

[3]  A. Schofield,et al.  Critical State Soil Mechanics , 1968 .

[4]  R. Jardine Some Observations on the Kinematic Nature of Soil Stiffness , 1992 .

[5]  O. C. Zienkiewicz,et al.  Application of an anisotropic hardening model in the analysis of elasto–plastic deformation of soils , 1979 .

[6]  A. Schofield,et al.  Yielding of Clays in States Wetter than Critical , 1963 .

[7]  A. Schofield,et al.  On The Yielding of Soils , 1958 .

[8]  P. W. Rowe Theoretical meaning and observed values of deformation parameters for soil , 1972 .

[9]  Matthew Richard Coop,et al.  On the mechanics of structured sands , 1999 .

[10]  Glenn R. McDowell,et al.  Discrete element modelling of soil particle fracture , 2002 .

[11]  M. Bolton THE STRENGTH AND DILATANCY OF SANDS , 1986 .

[12]  K. Roscoe,et al.  ON THE GENERALIZED STRESS-STRAIN BEHAVIOUR OF WET CLAY , 1968 .

[13]  D. Muir Wood,et al.  Severn-Trent sand: a kinematic hardening constitutive model for sands: the q-p formulation , 1999 .

[14]  Malcolm D. Bolton,et al.  On the micromechanics of crushable aggregates , 1998 .

[15]  H. W. Chandler,et al.  A plasticity theory without drucker's postulate, suitable for granular materials , 1985 .

[16]  Douglas Robertson,et al.  Computer simulations of crushable aggregates , 2000 .

[17]  M. Bolton,et al.  The fractal crushing of granular materials , 1996 .