The course is intended particularly for students that deal with modeling of granular systems within their dissertation. The course introduces granular materials and their specific behavior: - Introduction ? definition and examples of granular materials - Interactions between individual grains ? external forces, contact forces, cohesive forces, electrostatic forces, forces acting between particles and surrounding fluid - Static granular layers: volume fraction of solid phase, forces and their distribution acting in static layers, stress distribution in various configurations, elasticity, plasticity and its different levels of description, Mohr-Coulomb model - Granular gases: analogy and differences with molecular gas, heuristic approach to kinetic theory, formal approach to kinetic theory (Boltzmann equation), applications, limits on the validity of kinetic theory - Granular fluid: rheology, flow properties of granular materials, Saint-Venant equations, segregation - Moisture and granular materials: interparticle interactions in wet granular system, capillary bridges, effect of moisture on granular material dynamics - Suspension: basic concept of viscous flow, one particle in Stokes flow regime, pair interactions between particles, macroscopic phenomena in suspensions - Mixing of granular materials, erosion and sediment transport, geomorphology
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