Fundamentals of Rock Mechanics

by Jaeger, John Conrad; Cook, Neville G. W.; Zimmerman, Robert

• ISBN13: 9780632057597
• ISBN10: 0632057599
• Edition: 4th
• Format: Hardcover
• Copyright: 2007-03-01
• Publisher: Wiley

Summary

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.

Author Biography

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.

Table of Contents

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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