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Date added: 24.1.2015

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This book puts the theory for a mixture of hypoplastic constituents on a rigorous basis using the thermodynamic analysis of M ller and Liu. The results which are specialised to frictional solid-fluid mixtures can be used by geophysicists andMoreThis book puts the theory for a mixture of hypoplastic constituents on a rigorous basis using the thermodynamic analysis of M ller and Liu. The results which are specialised to frictional solid-fluid mixtures can be used by geophysicists and geotechnical engineers to refine their existing models for debris flows. This book addresses a continuum mechanical formulation of structured solid-fluid mixtures for elasto-viscous-frictional materials, suitable for particle laden and dense solid-fluid flows under small to catastrophic motions. Volume-fraction densities and balance laws for stress-like variables describe effects of the microstructure and hypoplasticity, and non-vanishing production rate densities of mass and momentum account for the description of compressibility or density preserving of the constituents, fragmentation, abrasion and particle separation. Saturation is equally incorporated. Using M llers entropy principle, paired with a number of plausible ad-hoc assumptions, the theory delivers explicit expressions for the constituent stresses, interaction forces, entropy, heat and entropy flux. A reduced model for a binary mixture yields an extension of the hypolasticity to multi-phase systems and points at the restrictions of the popular stress equilibrium assumption. Solid-Fluid Mixtures of Frictional Materials in Geophysical and Geotechnical Context: Based on a Concise Thermodynamic Analysis by Lukas Schneider