An algorithm is presented for creating a flexible boundary to analyze
three-dimensional assemblies of spheres. It can be used to study local
ization phenomena in particulate materials. The boundary is composed o
f adjoining triangular plate elements which are connected at their cor
ners to the centres of neighbouring spheres. The applied external boun
dary stresses create traction forces on the plates, which are distribu
ted among the plates' particles. The boundary performed favourably in
tests on a large assembly of particles when only contact and rotationa
l damping were used. Plane strain compression tests on assemblies with
flexible and periodic boundaries revealed a lower strength with the f
ormer. This result could be due to the greater restraint on particle m
ovements produced by periodic boundaries or to the early development o
f a column buckling failure pattern of the assembly with flexible boun
daries. No shear bands were observed in the assembly.