Stochastic Pore Collapse Models in Granular Materials

Abstract

Stochastic models for pore collapse in granular materials are developed. First, a general fluctuating stress-strain relation for a plastic flow rule is derived. The fluctuations account for non-associativity in plastic deformations typically observed in heterogeneous materials. Second, an axisymmetric spherical shell compaction model is extended to account for fluctuations in the material microstructure due to granular interactions at the pore scale. This changes the stress-strain constitutive equation determining the dynamics of pore collapse. Results show that stochastic differential equations can account for multiscale interactions in a statistical sense.

Particle Agglomeration of Biomass and Plastic Waste during Their Thermochemical Fixed-Bed Conversion

“…There are many papers devoted to the study of filtration flow and heat transfer in heterogeneous media with a changing structure. Models of porosity reduction in granular beds were proposed in [195] for ball packing under mechanical pressure, in [196] for graph structures, and in [197] for hydrate-saturated rocks. The dynamics of porous media dissolving in a flowing liquid were studied theoretically and experimentally in [198][199][200].…”