Dynamic Response of Granular and Porous Materials under Large and Catastrophic Deformations

Description

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. Front Matter....Pages I-XIII Front Matter....Pages 1-1 Rapid Granular Avalanches....Pages 3-42 Gravity-Driven Rapid Shear Flows of Dry Granular Masses in Topographies with Orthogonal and Non-Orthogonal Metrics....Pages 43-82 A Lagrangian-Eulerian Finite-Volume Method for Simulating Free Surface Flows of Granular Avalanches....Pages 83-108 Experimental Information on the Dynamics of Dry-Snow Avalanches....Pages 109-160 Numerical Simulation of Dry-Snow Avalanche Flow over Natural Terrain....Pages 161-194 Particle Image Velocimetry (PIV) for Granular Avalanches on Inclined Planes....Pages 195-218 Existence of Avalanching Flows....Pages 219-249 Group Theoretic Methods and Similarity Solutions of the Savage—Hutter Equations....Pages 251-261 Front Matter....Pages 263-263 Dynamics of Hypoplastic Materials: Theory and Numerical Implementation....Pages 265-284 Acoustic Waves in Porous Solid—Fluid Mixtures....Pages 285-313 Dissipation Influence on Cooling of 2-Dimensional Hard Needle Systems....Pages 315-341 Induced Anisotropy in Rapid Flows of Nonspherical Granular Materials....Pages 343-364 Front Matter....Pages 365-365 Modelling Particle Size Segregation in Granular Mixtures....Pages 367-391 Gravity-Induced Segregation of Cohesionless Granular Mixtures....Pages 393-421 Back Matter....Pages 423-426