Advanced Soil Mechanics (E 6246)
1:10-3:40 pm (Monday) CEPSR 415

This course contains unique materials of advanced geomechanics. For those who wish to take a follow-up course (possibly next semester on the Application of Finite Element to Geotechnical Engineering), it is a must). With the increasing popularity of numerical methods in practise, engineers must now acquire knowledge of geomechanics.

Spring 2016

see other geotech courses

Tentative Schedule

 Date
 Chapter
 Contents
 Remarks
 1  1/25


1. Stresses and Strains
Definitions, In-Situ Stress and Stress Increments
2. States of Stress
2.1 Mohr Circle of Stress
2.2 Poles of Plane, Pole of Direction, Principal Stresses, Plane of Maximum Stress Obliquity
2.3 Application of Mohr Circle to Soil Element Tests
(handout on the course descriptions)
 Mohr circle
2
 2/1




3. States of Strain
3.1 Mohr Circle of Strain Increment
3.2 Angle of Dilation
3.3 Direction of Zero Extension and Slip Surfaces
3.4 Strain Fields from Soil Model Tests
PART I. GRANULAR SOILS
4. Stress-Strain Relationships
4.1 Generalized Hooke's Law
4.2 Stress-Strain Relationships - Toyoura Sand
Assignment 1 (Q1-3) 
3
 2/8


[Lab: Plane Strain Compression Test] Shear Band Video PSC Test assignment:
Lab Report
4
 		2/15
4.3 Factors Affecting Stress-Strain Behavior
- Confining Pressure and Void Ratio
- Inherent and Induced Ainsotropy
- Principal Stress Rotation
Finite Element Analysis 1
- Commerical Softwares: Plaxis and Optumce
- Linear Analysis: Footing Settlement
 		Assignment 2: Finite element modeling of footing settlement
5
 2/22



4.4 Stress-Dilatancy Relationships
5. Nonlinear Stress-Strain Modeling
5.1 Introduction
5.2 Nonlinear Elastic Models
6. Three-Dimensional Failure Criteria
6.1 Mohr-Colulomb Failure Criterion and b-Value
6.2 Geometric Representation of Stress and Stress Invariants
6.3 Three Dimensional Failure Surfaces: Tesca, Huber-von Mises, Lade

6
 		2/29


Drucker-Prager (Extended von Mises), Mohr-Coulomb, Modified Lade, Matsuoka
6.4 Experimental Validation
Finite Element Analysis 2
- Limit Analysis: Bearing Capacity
 		Assignment 3: Finite element analysis of bearing capacity
7
 3/7

PART II. COHESIVE SOILS
Critical State Soil Mechanics
7.1 Effective Stress Path and Soil Compressibility
7.2 Critical State Line
7.3 Roscoe and Hvorslev Surfaces
8. Critical State Soil Models
8.1 Soil Plasticty
8
 3/14
mid-term break
9
 3/21

8.2 Stress-Strain Relationships (Volumetric Hardening)
8.3 Yield Surfaces: Original and Modified Cam-clay models
8.4 Cam-clay Parameters and Limitations
8.5 Cap Model 		Assignment 4: Critical state parameters
10
 		3/28
Lab and Mindlin Lecture
11
 		4/4



8.6 Anisotropy and Anisotropic Critical State Models (Dafalias Critical State Model)
9. Elasto-Plastic Analysis for Finite Element Method
9.1 Elasto-Plastic Matrix (Dep)
9.2 Dep for Modified Cam-Clay Model
12
 		4/11


.
 9.3 Dep: Example
9.4 Applications of Cam-Clay Models (MIT Test Embankment)
10. Effective Stress Finite Element Analysis
10.1 Introduction - Review of Finite Element consolidation Analysis
 Final project
13
 		4/18

10.2 Governing Equations for Solid Phase
10.3 Governing Equations for Fluid Phase
10.4 Element Types
10.5 Formulations for Solid Phase
10.6 Formulations for Fluid Phase
10.7 Integration Scheme and Numerical Ill-Conditioning


14
 		4/25
10.8 Case Studies: MIT Test Embankment and Muar Test Embankment
SCOPE OF FINAL PROJECT
11. Time-Dependent Behavior of Clays
11.1 Introduction - Quasi-Preconsolidation, Rate Effects, Clay Minerals
11.2 Creep and Stress Relaxation
11.3 Rheological Models
11.4 Singh-Mitchell Model

5/2
Final Project Presentation