Fundamentals of Rock Mechanics

Widely regarded as the most authoritative and comprehensive book in its field, the fourth edition of Fundamentals of Rock Mechanics includes new and substantially updated chapters to this highly praised text. Extensively updated throughout, this new edition contains substantially expanded chapters on poroelasticity, wave propogation, and subsurface stresses Features entirely new chapters on rock fractures and micromechanical models of rock behaviour Discusses fundamental concepts such as stress and strain Offers a thorough introduction to the subject before expertly delving into a fundamental, self-contained discussion of specific topics Unavailable for many years, now back by popular demand.

John Conrad Jaeger received a first-class honours degree in mathematics and physics from the University of Sydney, was Wrangler (class I) in the Mathematical Tripos at Cambridge, and received a DSc in applied mathematics from the University of Sydney. He was a professor at the University of Tasmania and the Australian National University. He was the author of several monographs in applied mathematics, including, with H. S. Carslaw, Conduction of Heat in Solids, and was a Fellow of the Australian Academy of Science and the Royal Society.

Neville G. W. Cook received a BS and PhD in geophysics from the University of Witwatersrand. He was the founder and first director of the Mining Research Laboratory of the South African Chamber of Mines, and in 1971 he received the Gold Medal of the Scientific and Technical Societies, the highest scientific award in South Africa. He was Donald H. McLaughlin Chair in Mineral Engineering at the University of California at Berkeley, and was a member of the U. S. National Academy of Engineering.

Robert Zimmerman received BS and MS degrees from Columbia University, and a PhD from the University of California at Berkeley. He has been a staff scientist in the Earth Sciences Division of the Lawrence Berkeley National Laboratory, and Reader in Rock Mechanics at Imperial College, London. He is currently Professor of Engineering Geology at the Royal Institute of Technology in Stockholm, and co-editor of the International Journal of Rock Mechanics. He is also the author of the monograph Compressibility of Sandstones.

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 hysteres
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Fundamentals of Rock Mechanics

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