Syllabus

Module 1: Introduction to Constitutive Modelling (8 Hours)
Constitutive Models Overview: Introduction to the role of modelling in geotechnical engineering.
Stress-Strain Relationships: Fundamentals of constitutive laws in geomaterials.
Elasticity and Plasticity: Basic concepts for soils and rocks.
Yield Criteria: Understanding yield points in geotechnical materials.
Module 2: Constitutive Models for Soils (6 Hours)
Critical State Mechanics: Fundamental principles in soil mechanics.
Cam-Clay Models: Introduction and application in soils.
Modified Cam-Clay Model: Extended concepts and usage.
Cap Plasticity Models: Application in geotechnical contexts.
Module 3: Advanced Constitutive Models and Numerical Implementation (6 Hours)
Advanced Models: Exploration of sophisticated soil and rock models.
Anisotropic Models: Understanding and calibrating anisotropic behavior.
Numerical Implementation: Finite element analysis applications.
Introduction to Hypoplasticity: Exploring hypoplasticity in geomechanics.
Module 4: Constitutive Modelling for Rocks and Applications (8 Hours)
Rock Mechanics: Constitutive modelling in rock mechanics.
Elasto-Plastic Models: Application for rocks and jointed rock masses.
Damage Mechanics: Mechanics and applications in rock materials.
Dynamic Loading Models: Constitutive models under dynamic conditions.
Module 5: Granular Mechanics and their Modelling (8 Hours)
Behaviour of Granular Materials: Introduction to Granular Mechanics
Micro-Macro-Mechanics: Examining discrete-continuum duality in granular material behaviours.
Modelling schemes: Comparisons with continuum methods. Soft and hard particle models Time driven and event-driven collisions
Numerical Applications: Usage in various geotechnical problems using FEM and DEM.

To provide students with a thorough understanding of the theoretical aspects of constitutive modelling, focusing on the foundational concepts relevant to geotechnical engineering.

To equip students with practical skills and knowledge in granular mechanics, emphasizing hands-on experience in analyzing and solving geotechnical problems involving granular materials.

To train students in advanced computational techniques, particularly the Discrete Element Method (DEM), for effective simulation and analysis of complex geotechnical issues.

To cultivate critical thinking and problem-solving skills among students, enabling them to apply constitutive modelling and granular mechanics concepts to various geotechnical challenges.

CO1 Develop a comprehensive understanding of constitutive models and their applications in geotechnical engineering
CO2 Understand the concepts and applications of granular mechanics in geotechnical problem-solving
CO3 Acquire and apply advanced skills in using Discrete Element Method (DEM) for simulating complex geotechnical problems
CO4 Integrate knowledge of constitutive modelling and granular mechanics to design and analyze advanced geotechnical solutions
CO5 Enhance skills in critical thinking, technical reporting, and effective communication pertinent to geotechnical engineering

O'Sullivan, C. (2011), Particulate Discrete Element Modelling: A Geomechanics Perspective, CRC Press.

Wood, D. M, Geotechnical Modelling. In, CRC Press eBooks.

Puzrin, A., Constitutive Modelling in Geomechanics, Springer

Teruo Nakai, Constitutive Modeling of Geomaterials: Principles and Applications, CRC