THIS COURSE WILL ALLOW THE STUDENT TO DEVELOP A BROAD WORKING KNOWLEDGE OF MECHANICS AND ITS APPLICATION TO THE EARTH AND ENVIROMENTAL SCIENCES.
THE ONLY MATHEMATICAL BAKGROUND REQUIRED IS THET GIVEN BY BASIC CALCULUS, ALL OTHER MATHEMATICAL CONCEPTS ARE INTRODUCTED IN THE CONTEXT.
THE ONLY MATHEMATICAL BAKGROUND REQUIRED IS THET GIVEN BY BASIC CALCULUS, ALL OTHER MATHEMATICAL CONCEPTS ARE INTRODUCTED IN THE CONTEXT.
teacher profile teaching materials
- DEFINITION OF A VECTOR, CARTESIAN REFERENCE, ADDITION OF VECTORS, SCALAR PRODUCT, VECTOR PRODUCT, TRASFORMATION OF COORDINATES, DEFINITION OF A TENSOR, ORDER OF A TENSOR, PRINCIPAL DIRECTIONS OF A SYMMETRIC SECOND ORDER TENSOR.
- THE STRAIN TENSOR: ANALYSIS OF DISPLACEMENT AND DEFORMATION, COMPONENTS OF THE STRAIN TENSOR, SHEAR STRAIN AND NORMAL STRAIN, CHANGE OF VOLUME
- THE STRESS TENSOR, NORMAL STRESS AND SHEAR STRESS
- STATE OF STRESS IN A CONTINUOUS MEDIA, EQUILIBRIUM OF A SMALL PRISM, SYMMETRY OF STRESS COMPONENT, THE STRESS ELLIPSOID, STRESS INVARIANT, PRINCIPAL STRESS
- MOHR’S CIRCLES,
- HOOKE’S LAW, STRESS-STRAIN CURVE, YOUNG’S MODULUS
- ELASTIC BEHAVIOR, VISCOELASTIC BEHAVIOR, PLASTIC BEHAVIOR, FAILURE
- POISSON’S RAITO, VALUES OF POISSON’S RATIO FOR THE ROCK, LAMÈ PARAMETERS
- STATE OF STRESS IN A LITOSFERIC LAYER, GEOSTATIC PRESSURE
- FAILURE CONDITION IN A LITOSFERIC LAYER
- NORMAL FAULT, REVERSE FAULT
- PRESSURE IN A FLUID, TOTAL STRESS, EFFECTIVE STRESS AND PORE PRESSURE
- ANGLE OF INTERNAL FICTION, THE COULOMB FAILURE CRITERION
- BERNOULLI EQUATIONS, FLOW THROUGH A TUBE, FLOW THROUGH POROUS MEDIA, CONSERVATION OF MASS, CONTINUITY EQUATION, DARCY’S LAW, HYDRAULIC CONDUCTIVITY, LAPLACE EQUATION
- THE WAVE EQUATION, DILATATION WAVE, SHEAR WAVE, VELOCITY WAVES, RATIO VP/VS, PROPAGATION IN A MULTILAYER SISTEM, PARTITIONING OF ENERGY AT AN INTERFACE, SEISMIC IMPEDENCE, REFRACTION AND TRANSMISSION COEFFICIENTS.
EARTHQUAKE SOURCE MECHANICS, FOCAL SPHERE, SUEFACES WAVE , H/V RITO
- VISCOUS FLUIDS, NEWTON’S LAW,
- RHEOLOGY, THE INFLUENCE OF TIME ON ROCK DEFORMATION
- MECHANICAL MODELS OF MATERIALS, MAXWELL BODY, KELVIN BODY CONSTITUTIVE EQUATIONS
- QUALITY FACTOR “Q”, CREEP FUNCTION AND RELAXATION FUNCTION
- LABORATORY MEASUREMENT OF RESISTIVITY
- LABORATORY TESTS
- TRIAXIAL COMPRESSION TEST
- SHEAR TEST
LANDAU LIFSITS TEORIA DELL’ELASTICITÀ EDITORI RIUNITI
BRIAN BAYLY MECHANICS IN STRUCTURAL GEOLOGY SPRINGER-VERLAG
W.M.TELFORD APPLIED GEOPHYSICS CAMBRIDGE UNIVERSITY PRESS
COZZI E. & DELLA MONICA G. - INTRODUZIONE ALLA MECCANICA DELLE TERRE E DELLE ROCCE ARACNE EDITRICE.
LOWRIE W. FUNDAMENTALS OF GEOPHYSICS - CAMBRIDGE UNIVERSITY PRESS.
Programme
- CONTINUUM MECHANICS AND MATERIALS RESISTANCE- DEFINITION OF A VECTOR, CARTESIAN REFERENCE, ADDITION OF VECTORS, SCALAR PRODUCT, VECTOR PRODUCT, TRASFORMATION OF COORDINATES, DEFINITION OF A TENSOR, ORDER OF A TENSOR, PRINCIPAL DIRECTIONS OF A SYMMETRIC SECOND ORDER TENSOR.
- THE STRAIN TENSOR: ANALYSIS OF DISPLACEMENT AND DEFORMATION, COMPONENTS OF THE STRAIN TENSOR, SHEAR STRAIN AND NORMAL STRAIN, CHANGE OF VOLUME
- THE STRESS TENSOR, NORMAL STRESS AND SHEAR STRESS
- STATE OF STRESS IN A CONTINUOUS MEDIA, EQUILIBRIUM OF A SMALL PRISM, SYMMETRY OF STRESS COMPONENT, THE STRESS ELLIPSOID, STRESS INVARIANT, PRINCIPAL STRESS
- MOHR’S CIRCLES,
- HOOKE’S LAW, STRESS-STRAIN CURVE, YOUNG’S MODULUS
- ELASTIC BEHAVIOR, VISCOELASTIC BEHAVIOR, PLASTIC BEHAVIOR, FAILURE
- POISSON’S RAITO, VALUES OF POISSON’S RATIO FOR THE ROCK, LAMÈ PARAMETERS
- STATE OF STRESS IN A LITOSFERIC LAYER, GEOSTATIC PRESSURE
- FAILURE CONDITION IN A LITOSFERIC LAYER
- NORMAL FAULT, REVERSE FAULT
- PRESSURE IN A FLUID, TOTAL STRESS, EFFECTIVE STRESS AND PORE PRESSURE
- ANGLE OF INTERNAL FICTION, THE COULOMB FAILURE CRITERION
- BERNOULLI EQUATIONS, FLOW THROUGH A TUBE, FLOW THROUGH POROUS MEDIA, CONSERVATION OF MASS, CONTINUITY EQUATION, DARCY’S LAW, HYDRAULIC CONDUCTIVITY, LAPLACE EQUATION
- THE WAVE EQUATION, DILATATION WAVE, SHEAR WAVE, VELOCITY WAVES, RATIO VP/VS, PROPAGATION IN A MULTILAYER SISTEM, PARTITIONING OF ENERGY AT AN INTERFACE, SEISMIC IMPEDENCE, REFRACTION AND TRANSMISSION COEFFICIENTS.
EARTHQUAKE SOURCE MECHANICS, FOCAL SPHERE, SUEFACES WAVE , H/V RITO
- VISCOUS FLUIDS, NEWTON’S LAW,
- RHEOLOGY, THE INFLUENCE OF TIME ON ROCK DEFORMATION
- MECHANICAL MODELS OF MATERIALS, MAXWELL BODY, KELVIN BODY CONSTITUTIVE EQUATIONS
- QUALITY FACTOR “Q”, CREEP FUNCTION AND RELAXATION FUNCTION
- LABORATORY MEASUREMENT OF RESISTIVITY
- LABORATORY TESTS
- TRIAXIAL COMPRESSION TEST
- SHEAR TEST
Core Documentation
VSEVOLOD I.FEODOSEV RESISTENZA DEI MATERIALI EDITORI RIUNITILANDAU LIFSITS TEORIA DELL’ELASTICITÀ EDITORI RIUNITI
BRIAN BAYLY MECHANICS IN STRUCTURAL GEOLOGY SPRINGER-VERLAG
W.M.TELFORD APPLIED GEOPHYSICS CAMBRIDGE UNIVERSITY PRESS
COZZI E. & DELLA MONICA G. - INTRODUZIONE ALLA MECCANICA DELLE TERRE E DELLE ROCCE ARACNE EDITRICE.
LOWRIE W. FUNDAMENTALS OF GEOPHYSICS - CAMBRIDGE UNIVERSITY PRESS.