NONLOCAL DIFFUSION AND STRAIN-INDUCED LIQUEFICATION OF PARTICULATE MEDIA

Previously the author has developed a nonlocal balance law for pre-asy mptotic diffusion in media with microstructure and an approximate wave vector (k) and a frequency-dependent diffusion tensor which is valid f or small Absolute value of k. The results have been applied to fractal media which induce a fractional Brownian trajectory. These concepts a re reviewed and discussed in the context of granular media. The author , in conjunction with co-workers at Purdue, has also conducted numeric al experiments related to phase changes which are induced by strain in a Lennard-Jones fluid confined between infinite structured planes. Th ese results are also reviewed and discussed in the context of granular flows.