This book summarizes the results of a research programme financed by the "Deutsche Forschungsgemeinschaft" in the field of deformation and failure in granular and porous media. It presents the recent engineering as well as mathematical key aspects of this field for a broad community. Its main focus is on the dynamics response under large and catastrophic deformations, covering the fundamentals and dynamical processes of porous and granular materials as well as their related sub-scale and micro-mechanical effects.Special emphasis is placed on the modeling and theory of avalanches, debris and mud flows.
I. Avalanches, Debris and Mud Flows.- Rapid Granular Avalanches.- Gravity-Driven Rapid Shear Flows of Dry Granular Masses in Topographies with Orthogonal and Non-Orthogonal Metrics.- A Lagrangian-Eulerian Finite-Volume Method for Simulating Free Surface Flows of Granular Avalanches.- Experimental Information on the Dynamics of Dry-Snow Avalanches.- Numerical Simulation of Dry-Snow Avalanche Flow over Natural Terrain.- Particle Image Velocimetry (PIV) for Granular Avalanches on Inclined Planes.- Existence of Avalanching Flows.- Group Theoretic Methods and Similarity Solutions of the Savage-Hutter Equations.- II. Porous and Granular Materials. Fundamentals and Dynamical Processes.- Dynamics of Hypoplastic Materials: Theory and Numerical Implementation.- Acoustic Waves in Porous Solid-Fluid Mixtures.- Dissipation Influence on Cooling of 2-Dimensional Hard Needle Systems.- Induced Anisotropy in Rapid Flows of Nonspherical Granular Materials.- III. Porous and Granular Materials. Subscale-and Micromechanical Effects.- Modelling Particle Size Segregation in Granular Mixtures.- Gravity-Induced Segregation of Cohesionless Granular Mixtures.