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Rock as a Material | |
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Introduction | |
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Joints and faults | |
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Rock-forming minerals | |
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The fabric of rocks | |
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The mechanical nature of rock | |
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Analysis of Stress and Strain | |
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Introduction | |
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Definition of traction and stress | |
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Analysis of stress in two dimensions | |
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Graphical representations of stress in two dimensions | |
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Stresses in three dimensions | |
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Stress transformations in three dimensions | |
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Mohr's representation of stress in three dimensions | |
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Stress invariants and stress deviation | |
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Displacement and strain | |
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Infinitesimal strain in two dimensions | |
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Infinitesimal strain in three dimensions | |
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Determination of principle stresses or strains from measurements | |
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Compatibility equations | |
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Stress and strain in polar and cylindrical coordinates | |
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Finite strain | |
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Friction on Rock Surfaces | |
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Introduction | |
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Amonton's law | |
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Friction on rock surfaces | |
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Stick-slip oscillations | |
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Sliding on a plane of weakness | |
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Effects of time and velocity | |
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Deformation and Failure of Rock | |
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Introduction | |
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The stress-strain curve | |
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Effects of confining stress and temperature | |
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Types of fracture | |
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Coulomb failure criterion | |
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Mohr's hypothesis | |
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Effects of pore fluids | |
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Failure under true-triaxial conditions | |
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The effect of anisotropy on strength | |
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Linear Elasticity | |
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Introduction | |
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Stress-strain relations for an isotropic linear elastic solid | |
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Special cases | |
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Hooke's law in terms of deviatoric stresses and strains | |
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Equations of stress equilibrium | |
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Equations of stress equilibrium in cylindrical and spherical coordinates | |
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Airy stress functions | |
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Elastic strain energy and related principles | |
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Uniqueness theorem for elasticity problems | |
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Stress-strain relations for anisotropic materials | |
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Laboratory Testing of Rocks | |
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Introduction | |
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Hydrostatic tests | |
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Uniaxial compression | |
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Triaxial tests | |
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Stability and stiff testing machines | |
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True-triaxial tests | |
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Diametral compression of cylinders | |
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Torsion of circular cylinders | |
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Bending tests | |
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Hollow cylinders | |
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Poroelasticity and Thermoelasticity | |
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Introduction | |
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Hydrostatic poroelasticity | |
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Undrained compression | |
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Constitutive equations of poroelasticity | |
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Equations of stress equilibrium and fluid flow | |
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One-dimensional consolidation | |
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Applications of poroelasticity | |
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Thermoelasticity | |
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Stresses around Cavities and Excavations | |
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Introduction | |
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Complex variable method for two-dimensional elasticity problems | |
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Homogeneous state of stress | |
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Pressurised hollow cylinder | |
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Circular hole in a rock mass with given far-field principal stresses | |
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Stresses applied to a circular hole in an infinite rock mass | |
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Stresses applied to the surface of a solid cylinder | |
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Inclusions in an infinite region | |
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Elliptical hole in an infinite rock mass | |
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Stresses near a crack tip | |
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Nearly rectangular hole | |
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Spherical cavities | |
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Penny-shaped cracks | |
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Interactions between nearby cavities | |
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Inelastic Behavior | |
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Introduction | |
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Plasticity and yield | |
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Elastic-plastic hollow cylinder | |
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Circular hole in an elastic-brittle-plastic rock mass | |
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Perfectly plastic behavior | |
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Flow between flat surfaces | |
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Flow rules and hardening | |
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Creep | |
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Simple rheological models | |
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Theory of viscoelasticity | |
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Some simple viscoelastic problems | |
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Micromechanical Models | |
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Introduction | |
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Effective moduli of heterogeneous rocks | |
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Effect of pores on compressibility | |
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Crack closure and elastic nonlinearity | |
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Effective medium theories | |
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Sliding crack friction and hysteres | |