Solid-Fluid Mixtures of Frictional Materials in Geophysical and Geotechnical Context Based on a Concise Thermodynamic Analysis /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Schneider, Lukas. (Editor), Hutter, Kolumban. (Editor)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Advances in Geophysical and Environmental Mechanics and Mathematics,
• Subjects: Geography.; Physical geography.; Mathematical geography.; Earth Sciences.; Geophysics/Geodesy.; Classical Continuum Physics.; Mathematical Applications in Earth Sciences.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-02968-4

 This book puts the theory for a mixture of hypoplastic constituents on a rigorous basis using the thermodynamic analysis of M<U+00fc>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<U+00fc>ller<U+0019>s 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.