CAPTURING NONSPHERICAL SHAPE OF GRANULAR MEDIA WITH DISK CLUSTERS

In discrete numerical modeling of granular materials, idealization of individual particles is required, as it is not practical to model a large number of particles, each with its actual shape and size. To minimize computation times, researchers often use two-dimensional, circular elements. However, biaxial and direct shear tests on such specimens result in low strengths compared to granular materials, due, in part, to excessive rolling of the perfectly circular particles. In this paper, a new particle type, disk clusters, is presented. A disk cluster is a group of circular disks permanently connected to form an irregularly shaped particle that more closely represents the shape of granular materials and has less tendency to rotate. Development and implementation of disk cluster particles into a discontinuous deformation analysis program is presented. Validations of the mechanics of a single disk cluster, biaxial shear, and anchor pullout simulations illustrate the usefulness of this new particle type.

[1]  James Demmel,et al.  Applied Numerical Linear Algebra , 1997 .

[2]  O. C. Zienkiewicz,et al.  The finite element method, fourth edition; volume 2: solid and fluid mechanics, dynamics and non-linearity , 1991 .

[3]  G. Shi,et al.  Discontinuous Deformation Analysis , 1984 .

[4]  Matthew R. Kuhn,et al.  A flexible boundary for three‐dimensional dem particle assemblies , 1995 .

[5]  Jean-Pierre Bardet,et al.  Shear‐Band Analysis in Idealized Granular Material , 1992 .

[6]  Ricardo Dobry,et al.  NUMERICAL SIMULATIONS OF MONOTONIC AND CYCLIC LOADING OF GRANULAR SOIL , 1994 .

[7]  John M. Ting,et al.  Effect of particle shape on the strength and deformation mechanisms of ellipse‐shaped granular assemblages , 1995 .

[8]  Jonathan D. Bray,et al.  Modeling of Particulate Media Using Discontinuous Deformation Analysis , 1995 .

[9]  Richard E. Goodman,et al.  Generalization of two‐dimensional discontinuous deformation analysis for forward modelling , 1989 .

[10]  Richard J. Bathurst,et al.  Observations on stress-force-fabric relationships in idealized granular materials , 1990 .

[11]  T. Ng,et al.  A non‐linear numerical model for soil mechanics , 1992 .

[12]  J. Ting,et al.  Discrete numerical model for soil mechanics , 1989 .

[13]  Otis R. Walton,et al.  Numerical simulation of inclined chute flows of monodisperse, inelastic, frictional spheres , 1993 .

[14]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[15]  James K. Mitchell,et al.  Fundamentals of soil behavior , 1976 .

[16]  Richard J. Bathurst,et al.  Micromechanical features of granular assemblies with planar elliptical particles , 1992 .