With our course on Continuum Mechanics and Constitutive Models, we open the door to the study of geotechnical engineering, adapting the complexity of continuum mechanics to its practical application in soils and rocks. In a world that is constantly erecting new structures, an understanding of these fundamentals is essential. The course is designed to build a robust theoretical foundation based on the Elasticity to Plasticity, and become familiar with the essential constitutive models for analysing the elastic, plastic and viscous behaviour of rock masses. You will discover key theoretical tools for the development and interpretation of numerical models in ground engineering, making this course a valuable investment for professionals looking to broaden their knowledge and for those interested in the fundamentals of geotechnical engineering.
Continuum Mechanics and Constitutive Models. Application to Soils and Rocks
Civil Engineering and Structures
40 hours
Introduction
Objectives
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To broaden one’s knowledge of Mechanics of Continuous Media and its application to the Geotechnical Engineering, both soil and rock.
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To study the Fundamentals of Elasticity and the elastic behaviour of materials.
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Learn the principles of the Theory of Plasticity and its use in the field of engineering of the land.
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Finding out about the main ones constitutive models used to model the behaviour of soils and rocks.
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To introduce the student to the viscous behaviour which may sometimes be experienced by rock formations.
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To provide a sound theoretical understanding of the constitutive models soils and rocks, primarily with a view to their application in the development of or interpret numerical models.
Table of Contents
TEACHING UNIT 1. CONTINUUM MECHANICS AND ELASTICITY
1. The stress tensor: total, effective and interstitial stresses. Mohr’s circle in stresses
2. The strain tensor. Mohr’s circle in strain analysis
3. Statement of the problem
4. Equations and parameters of elasticity
5. Main elastic solutions in soil and rock mechanics
TEACHING UNIT 2. THEORY OF PLASTICITY
1. Introduction to Plasticity
2. The criterion of plasticisation. Types of plastic behaviour
3. Law of plastic behaviour. Plastic flow and plastic potential
4. Main theorems and postulates of the Theory of Plasticity
5. The Mohr–Coulomb elastoplastic model
TEACHING UNIT 3. CONSTITUTIVE MODELS FOR SOILS
1. Rheological models
2. Hardening Soil Model
3. Hardening Soil Small Model
4. Jardine’s model
5. Cam-Clay model
TEACHING UNIT 4. CONSTITUTIVE MODELS FOR ROCKS
1. Hoek and Brown’s constitutive model
2. Barton–Choubey’s constitutive model for joints and discontinuities
3. Viscosity, viscoelasticity and viscoplasticity
4. Extension of rheological models
5. Viscoelastic and viscoelastic constitutive models
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