Unsaturated Soil Mechanics with Probability and Statistics (Paperback, 1)

1. Introduction1.1 Brief history of mechanics leading to path of current soil mechanics1.2 Scope of this boook2. Review of Probability Theory and Statistics2.1 Hierarchy of population, sample population and sample2.2 Sample points in sample space2.3 Random variables and probability distribution2.4 Parameters of probability distribution2.5 Normal distribution and Logarithmic normal distribution2.6 Regression analysis2.7 Markov chain3. Microscopic Models of Soil using Probability Distributions3.1 Macroscopic physical quantities of saturated-unsaturated soil and their phase diagram3.2 Microscopic probabilistic models of solid, gas and liquid phases4. Microscopic Physical Quantities Derived from Void Ratio and Probability Distributions4.1 Number of Soil Particles per Unit Volume4.2 Characteristic length4.3 Number of Contact Points per Unit Volume and Unit Area4.4 Calculation of N prt, D cht, N cv and N ca for simple cubic packing of uniform spheres5. Inter-particle Force Vector and Inter-particle Stress Vector5.1 Notation of inter-particle force vector and inter-particle stress vector5.2 Inter-particle force vector at a contact point and inter-particle stress vector on a plnae5.3 Inter-particle force vector and inter-particle stress vector due to gravitational force5.4 Inter-particle force vector and inter-particle stress vector due to seepage force5.5 Inter-particle force vector and inter-particle stress vector due to surface tension5.6 Inter-particle force vector and inter-particle stress vector due to external force5.7 Summary for normal and tangential components of inter-particle stress vectors6. Modeling of Pore Water Retention Using Elementary Particulate Model (EPM)6.1 Soil suction6.2 Modeling of soil-water characteristic curve6.3 Modeling of hysteresis of soil-water characteristic curve6.4 Correction of pore size distribution for soil-water characteristic curve7. Modeling of Pore Water and Pore Air Flows Using Elementary Particulate Model (EPM)7.1 Permeability of fluid phases through coarse-grained soil7.2 Correction of pore size distribution for coefficient of water permeability7.3 Governing equation for saturated-unsaturated seepage flow in soil8. Stability Analysis using proposed models8.1 Average coefficient of friction and potential slip plane8.2 Potential slip plane8.3 Apparent cohesion due to surface tension8.4 Self-weight retaining height8.5 Typical stability analyses in geotechnical engineering problems9. Deformation Analysis using proposed Models9.1 Microscopic motion of soil particles corresponding to macroscopic deformation9.2 Derivation of strain increments9.3 Evaluation of continuous and discontinuous motions of soil particles10. Numerical Experiment of soil tests for saturated-unsaturated soil10.1 Microscopic physical quantities for numerical experiment10.2 Soil-water characteristic curve10.3 Saturated-unsaturated permeability coefficient with respect to pore water10.4 Stability analysis10.5 Deformation analysis11. Issues to be solved in future