- Understand the principles of elasticity and continuum mechanics.
- Develop the ability to apply plasticity theory effectively.
- Interpret constitutive models for soil behaviour.
- Analyse constitutive models applied to rock mechanics.
- Evaluate the interactions between soils and rocks under stress.
- Identify key differences between soil and rock deformation.
- Apply theoretical models to real-world geotechnical problems.
UNIT 1. ELASTICITY AND CONTINUUM MECHANICS. The Stress Tensor: Total, Effective and Pore Stresses. Mohr’s Circle for Stresses. Strain Tensor. Mohr’s Circle for strains. Continuum mechanics: Definition of the mathematical problem.. Elasticity Equations and Parameters. Main Elastic Solutions in Soil and Rock Mechanics. UNIT 2. PLASTICITY THEORY. Introduction to Plasticity. Yield Criterion. Types of Plastic Behavior. Plastic Flow and Plastic Potential. Main Theorems and Postulates of the Theory of Plasticity. The Mohr-Coulomb Elastoplastic Model. UNIT 3. CONSTITUTIVE MODELS FOR SOILS. Rheological Models. The Hardening Soil Model. The Hardening Soil Small Model. The Cam-Clay Model. UNIT 4. CONSTITUTIVE MODELS FOR ROCKS. The Hoek and Brown Constitutive Model. The Barton-Choubey Constitutive Model for Joints and Discontinuities. Viscosity, Viscoelasticity and Viscoplasticity. Extension of Rheological Models. Viscoelastic Constitutive Models.