Rock as a Material | |
Introduction | |
Joints and faults | |
Rock-forming minerals | |
The fabric of rocks | |
The mechanical nature of rock | |
Analysis of Stress and Strain | |
Introduction | |
Definition of traction and stress | |
Analysis of stress in two dimensions | |
Graphical representations of stress in two dimensions | |
Stresses in three dimensions | |
Stress transformations in three dimensions | |
Mohr's representation of stress in three dimensions | |
Stress invariants and stress deviation | |
Displacement and strain | |
Infinitesimal strain in two dimensions | |
Infinitesimal strain in three dimensions | |
Determination of principle stresses or strains from measurements | |
Compatibility equations | |
Stress and strain in polar and cylindrical coordinates | |
Finite strain | |
Friction on Rock Surfaces | |
Introduction | |
Amonton's law | |
Friction on rock surfaces | |
Stick-slip oscillations | |
Sliding on a plane of weakness | |
Effects of time and velocity | |
Deformation and Failure of Rock | |
Introduction | |
The stress-strain curve | |
Effects of confining stress and temperature | |
Types of fracture | |
Coulomb failure criterion | |
Mohr's hypothesis | |
Effects of pore fluids | |
Failure under true-triaxial conditions | |
The effect of anisotropy on strength | |
Linear Elasticity | |
Introduction | |
Stress-strain relations for an isotropic linear elastic solid | |
Special cases | |
Hooke's law in terms of deviatoric stresses and strains | |
Equations of stress equilibrium | |
Equations of stress equilibrium in cylindrical and spherical coordinates | |
Airy stress functions | |
Elastic strain energy and related principles | |
Uniqueness theorem for elasticity problems | |
Stress-strain relations for anisotropic materials | |
Laboratory Testing of Rocks | |
Introduction | |
Hydrostatic tests | |
Uniaxial compression | |
Triaxial tests | |
Stability and stiff testing machines | |
True-triaxial tests | |
Diametral compression of cylinders | |
Torsion of circular cylinders | |
Bending tests | |
Hollow cylinders | |
Poroelasticity and Thermoelasticity | |
Introduction | |
Hydrostatic poroelasticity | |
Undrained compression | |
Constitutive equations of poroelasticity | |
Equations of stress equilibrium and fluid flow | |
One-dimensional consolidation | |
Applications of poroelasticity | |
Thermoelasticity | |
Stresses around Cavities and Excavations | |
Introduction | |
Complex variable method for two-dimensional elasticity problems | |
Homogeneous state of stress | |
Pressurised hollow cylinder | |
Circular hole in a rock mass with given far-field principal stresses | |
Stresses applied to a circular hole in an infinite rock mass | |
Stresses applied to the surface of a solid cylinder | |
Inclusions in an infinite region | |
Elliptical hole in an infinite rock mass | |
Stresses near a crack tip | |
Nearly rectangular hole | |
Spherical cavities | |
Penny-shaped cracks | |
Interactions between nearby cavities | |
Inelastic Behavior | |
Introduction | |
Plasticity and yield | |
Elastic-plastic hollow cylinder | |
Circular hole in an elastic-brittle-plastic rock mass | |
Perfectly plastic behavior | |
Flow between flat surfaces | |
Flow rules and hardening | |
Creep | |
Simple rheological models | |
Theory of viscoelasticity | |
Some simple viscoelastic problems | |
Micromechanical Models | |
Introduction | |
Effective moduli of heterogeneous rocks | |
Effect of pores on compressibility | |
Crack closure and elastic nonlinearity | |
Effective medium theories | |
Sliding crack friction and hysteresis | |
Griffith cracks and the Griffith locus | |
Griffith theory of failure | |
Linear elastic fracture mechanics | |
Wave Propagation in Rocks | |
Introduction | |
One-dimensional elastic wave propagation | |
Harmonic waves and group velocity | |
Elastic waves in unbounded media | |
Reflection and refraction of waves at an interface | |
Surface and interface waves | |
Transient waves | |
Effects of fluid saturation | |
Attenuation | |
Inelastic waves | |
Hydromechanical Behavior of Fractures | |
Introduction | |
Geometry of rock fractures | |
Normal stiffness of rock fractures | |
Behaviour of rock fractures under shear | |
Hydraulic transmissivity of rock fractures | |
Coupled hydro-mechanical behavior | |
Seismic response of rock fractures | |
Fractured rock masses | |
State of Stress Underground | |
Introduction | |
Simple models for the state of stress in the subsurface | |
Measured values of subsurface stresses | |
Surface loads on a half-space: two-dimensional theory | |
Surface loads on a half-space: three-dimensional theory | |
Hydraulic fracturing | |
Other stress measurement methods | |
Geological Applications | |
Introduction | |
Stresses and faulting | |
Overthrust faulting and sliding under gravity | |
Stresses around faults | |
Mechanics of intrusion | |
Beam models for crustal folding | |
Earthquake mechanics | |
References | |
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