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IIT Guwahati,, 2020 , Prof. Sreedeep S

Updated On 02 Feb, 19

##### Overview

This course intends to bridge the basic soil mechanics concepts with the advanced topics related to stresses and soil strength. In the process, it will help to reinforce the understanding gained during the undergraduate learning and would help to alleviate any misconceptions related to the stress-strain response and strength behaviour of soils. Not all the concepts explained in this course are advanced, but attempts to add clarity to the knowledge gained at undergraduate level. This course is ideal for the orientation of geotechnical engineering post-graduate students and final year undergraduate students to the higher realms of geomechanical characteristics of soils. The course will help to appreciate the basic concepts of continuum mechanics, which is a pre-requisite for research in geomechanics. Even though the name is advanced, the course is introductory in nature when it deals with the advanced topics. It may be noted that this course do not deal with the other soil characteristics, namely flow characteristics and compressibility.

## Lecture 9: Lec 8 : Relationship between stress invariants

4.1 ( 11 )

###### Lecture Details

Course URL: https://onlinecourses.nptel.ac.in/noc21_ce23/preview

Prof. Sreedeep S
Department of Civil Engineering
Indian Institute of Technology Guwahati

### Course layout:

Week 1:Module 1 Introduction to continuum mechanics
Introduction to course contents
1.1aStress at a point-Cauchy stress
1.1bStress at a point-Stress tensor
1.2Stress acting on a plane
1.2aStress acting on a plane example
1.3Transformation of stress tensor

Week 2:Module 1 Introduction to continuum mechanics
1.4Stress invariants
1.4aRelationship between stress invariants
1.4bPrincipal stresses and Eigen vectors
1.5Strain in soil
1.6Cause-effect relationship

Week 3:Module 1 Introduction to continuum mechanics
1.7Important constitutive relationship
1.83D to 2D idealization
1.9Mathematical formulation of plane stress, plane strain
1.10Mathematical formulation of axisymmetric conditions
1.11Summary of Module 1

Week 4: Module 2 Shear strength of cohesionless and cohesive soil
2.1aBasics of shear strength
2.1bStress representation
2.2aShear strength granular soil
2.2bShear strength granular soil
2.3aShear strength cohesive soil
2.3bShear strength cohesive soil - Stress strain

Week 5:Module 2 Shear strength of cohesionless and cohesive soil
2.4aPore water pressure and Skemptons equation
2.4bOverall pore water pressure parameter
2.4cPore water pressure -plane strain-effect of sampling
2.4dPore water pressure estimation

Week 6:Module 2 Shear strength of cohesionless and cohesive soil
2.5aTriaxial test
2.5bInterpretation triaxial test-UU UCS
2.5cInterpretation triaxial test-CU
2.5dInterpretation triaxial test-CD

Week 7:Module 2 Shear strength of cohesionless and cohesive soil/Module 3 Stress path
2.6Some additional aspects of shear strength
2.7Summary of Module 2
Module 3 Stress path
3.1aStress path and representation
3.1bFailure line in stress path
3.2aStress path-some common cases
3.2bStress path-some common cases

Week 8:Module 3 Stress path
3.3aStress path-triaxial test-drained
3.3bStress path-triaxial test-undrained
3.4aStress path-field cases

Week 9:Module 3 Stress path/Module 4 Critical state soil mechanics
3.4bStress path-field cases
3.5Stress path problems
3.6Summary of Module 3
Module 4 Critical state soil mechanics
4.1aIntroduction-Critical state soil mechanics

Week 10:Module 4 Critical state soil mechanics
4.1bIntroduction-Critical state soil mechanics
4.2CSSM-2 D representation
4.3Peak state

Week 11:Module 4 Critical state soil mechanics
4.4Soil yielding
4.5Cam clay
4.6Modified Cam clay
4.7aPrediction of soil behavior from MCCM

Week 12:Module 4 Critical state soil mechanics
4.7bPrediction of soil behavior from MCCM
4.8Strain from MCCM
4.9State boundary surface
4.10CSSM problems
4.11Summary of Module 4
Closure of Advanced Soil Mechanics Course

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