We report on details of a simulation technique for particles under quasi-static motion determined by a balance of conservative and dissipative interactions acting at the pair level. We develop frame-invariant and linear viscous interactions between pairs of translating and rotating spheres in a...

The transmission of stress is analysed for static periodic arrays of rigid grains, with perfect and zero friction. For minimal coordination number (which is sensitive to friction, sphericity and dimensionality), the stress distribution is soluble without reference to the corresponding...

The stability of diffusion limited growths with n equivalent major fingers is investigated in two dimensions using a conformal mapping. The results imply that square lattice but not hexagonal lattice bias are relevant in simple Diffusion Limited Aggregation (DLA). In general it is found that the...

We consider the form of the rebound velocity, ν0, particle velocity, ν, and height, h, probability density functions (PDFs) for the one-dimensional motion of a single particle on a sinusoidally oscillating base. The motion is considered in the limit of high excitation (vibration frequency ⪢...