Unsaturated Soil Mechanics with Probability and Statistics

Introduction. Review of probability theory and statistics applicable to soil. Microscopic models of soil using probabilistic distributions. Microscopic physical quantities derived from void ratio and probability distributions. Inter-particle force vectors and inter-particle stress vectors. Modeling of pore water retention by elementary particulate model (EPM). Modeling of pore water and pore air flows by elementary particulate model (EPM). Stability analysis by proposed model. Deformation analysis using proposed models. Numerical simulation for saturated-unsaturated soil tests. Issues to be solved in future. Index.

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• Mecânica do solo e das rochas
• Probabilidade e Estatística

Cumulative Grain Size Distribution;Soil Water Characteristic;microscopic models;Soil Water Characteristic Curves;grain size distribution;Soil Water Characteristic Curve;discrete element modelling;Main Drying Curve;Main Wetting Curve;inter-particle stress;Matric Suction;permeability coefficients;Logarithmic Normal Distributions;soil deformation;Soil Block;soil particles;Contact Angle;statistics;Coarse Grained Soil;surface tension;Pore Size Distribution Function;cohesion;Unsaturated Soil Mechanics;Elementary Particulate Model (EPM);Pyroclastic Flow Deposits;friction;Potential Slip Plane;geotechnical engineering;Mohr's Stress Circle;mathematics;Unsaturated Soil;modelling;Pore Size Distribution;permeability;Average Friction Angle;phase diagram;Triaxial Specimen;physics;Bottom Plane;pore water retention;Seepage Force;slip plane;Piezometric Head;soil mechanics;Continuous Sample Space;soil suction;Discontinuous Motion;stability analysis;soil-water characteristic curves;inferential statistics;probability density functions;Newtonian mechanics;inter-particle stresses