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We investigate the structure and mechanical behavior of assemblies offrictionless, nearly rigid equal-sized beads, in the quasistatic limit, bynumerical simulation. Three different loading paths are explored: triaxialcompression, triaxial extension and simple shear. Generalizing recent results[1], we show that the material, despite rather strong finite sample sizeeffects, is able to sustain a finite deviator stress in the macroscopic limit,along all three paths, without dilatancy. The shape of the yield surface isadequately described by a Lade-Duncan (rather than Mohr-Coulomb) criterion.While scalar state variables keep the same values as in isotropic systems,fabric and force anisotropies are each characterized by one parameter and arein one-to-one correspondence with principal stress ratio along all threeloading paths.The anisotropy of the pair correlation function extends to adistance between bead surfaces on the order of 10% of the diameter. The tensorof elastic moduli is shown to possess a nearly singular, uniaxial structurerelated to stress anisotropy. Possible stress-strain relations in monotonicloading paths are also discussed.

Solid behavior of anisotropic rigid frictionless bead assemblies