Modelling of granular and porous materials in science and engineering touches all kinds of problems arising from the necessity to successfully describe the behaviour of materials naturally existing in our surroundings. The book brings together scientists in engineering and mathematicians interested in solid behaviour and experts in particulate material modelling. The modelling process is a critical tool for studying the analysis and experimentation of micromechanics and behavior of granular and porous material. The text focuses upon the most important techniques and models currently in use, looking at: mechanics of porous media; modelling of soil behaviour; flow and transport phenomena in particulate materials; numerical simulation methods; and numerical model for finite elastoplastic deformations. The text should appeal to research workers, graduate students, and scientists in applied mathematics, continuum mechanics, finite element methods, solid mechanics and hydraulics engineering.
I Mechanics of Porous Media.- 1 Constitutive Equations and Instabilities of Granular Materials.- 2 Micromechanical Modeling of Granular Materials.- 3 Thermodynamic Modeling of Granular Continua Exhibiting Quasi-Static Frictional Behaviour with Abrasion.- 4 Modeling of Soil Behaviour: from Micro-Mechanical Analysis to Macroscopic Description.- 5 Dynamic Thermo-Poro-Mechanical Stability Analysis of Simple Shear on Frictional Materials.- II Flow and Transport Phenomena in Particulate Materials.- 6 Mathematical Models for Soil Consolidation Problems: a State of the Art Report.- 7 Flow of Water in Rigid and Non-Rigid, Saturated and Unsaturated Soils.- 8 Mass Exchange, Diffusion and Large Deformations of Poroelastic Materials.- III Numerical Simulations.- 9 Continuum and Numerical Simulation of Porous Materials in Science and Technology.- 10 A Mathematical and Numerical Model for Finite Elastoplastic Deformations in Fluid Saturated Porous Media.- 11 Numerical Modeling of Initiation and Propagation Phases of Landslides.