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Preface | |
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Acknowledgments | |
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Origins | |
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Deformation, Stress, and Conservation Laws | |
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Strain | |
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Strains in Curvilinear Coordinates | |
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Rotation | |
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Stress | |
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Coordinate Transformations | |
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Principal Strains and Stresses | |
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Compatibility Equations | |
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Conservation Laws | |
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Equilibrium Equations in Curvilinear Coordinates | |
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Constitutive Laws | |
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Reciprocal Theorem | |
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Problems | |
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References | |
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Dislocation Models of Strike-Slip Faults | |
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Full-Space Solution | |
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Half-Space Solution | |
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Coseismic Faulting | |
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Interseismic Deformation | |
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Postseismic Slip | |
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Distributed Slip | |
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Application to the San Andreas and Other Strike-Slip Faults | |
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Displacement at Depth | |
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Summary and Perspective | |
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Problems | |
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References | |
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Dip-Slip Faults and Dislocations in Three Dimensions | |
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Volterra's Formula | |
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Body Force Equivalents and Moment Tensors | |
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Screw Dislocations | |
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Two-Dimensional Edge Dislocations | |
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Dipping Fault | |
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Coseismic Deformation Associated with Dipping Faults | |
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Displacements and Stresses Due to Edge Dislocation at Depth | |
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Dislocations in Three Dimensions | |
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Full-Space Green's Functions | |
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Half-Space Green's Functions | |
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Point-Source Dislocations | |
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Finite Rectangular Dislocations | |
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Examples | |
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Distributed Slip | |
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Strain Energy Change Due to Faulting | |
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Summary and Perspective | |
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Problems | |
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References | |
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Crack Models of Faults | |
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Boundary Integral Method | |
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Inversion of the Integral Equation | |
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Displacement on the Earth's Surface | |
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A Brief Introduction to Fracture Mechanics | |
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Nonsingular Stress Distributions | |
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Comparison of Slip Distributions and Surface Displacements | |
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Boundary Element Methods | |
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Fourier Transform Methods | |
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Some Three-Dimensional Crack Results | |
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Summary and Perspective | |
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Problems | |
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References | |
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Elastic Heterogeneity | |
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Long Strike-Slip Fault Bounding Two Media | |
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Strike-Slip Fault within a Compliant Fault Zone | |
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Strike-Slip Fault beneath a Layer | |
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Strike-Slip within a Layer over Half-Space | |
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Propagator Matrix Methods | |
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The Propagator Matrix for Antiplane Deformation | |
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Vertical Fault in a Homogeneous Half-Space | |
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Vertical Fault within Half-Space beneath a Layer | |
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Vertical Fault in Layer over Half-Space | |
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General Solution for an Arbitrary Number of Layers | |
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Displacements and Stresses at Depth | |
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Propagator Methods for Plane Strain | |
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Propagator Solutions in Three Dimensions | |
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Approximate Solutions for Arbitrary Variations in Properties | |
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Variations in Shear Modulus | |
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Screw Dislocation | |
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Edge Dislocation | |
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Summary and Perspective | |
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Problems | |
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References | |
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Postseismic Relaxation | |
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Elastic Layer over Viscous Channel | |
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Viscoelasticity | |
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Correspondence Principle | |
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Strike-Slip Fault in an Elastic Plate Overlying a Viscoelastic Half-Space | |
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Stress in Plate and Half-Space | |
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Strike-Slip Fault in Elastic Layer Overlying a Viscoelastic Channel | |
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Dip-Slip Faulting | |
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Examples | |
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Three-Dimensional Calculations | |
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Summary and Perspective | |
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Problems | |
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References | |
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Volcano Deformation | |
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Spherical Magma Chamber | |
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Center of Dilatation | |
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Volume of the Uplift, Magma Chamber, and Magma | |
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Ellipsoidal Magma Chambers | |
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Magmatic Pipes and Conduits | |
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Dikes and Sills | |
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Crack Models of Dikes and Sills | |
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Surface Fracturing and Dike Intrusion | |
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Other Magma Chamber Geometries | |
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Viscoelastic Relaxation around Magma Chambers | |
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Summary and Perspective | |
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Problems | |
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References | |
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Topography and Earth Curvature | |
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Scaling Considerations | |
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Implementation Considerations | |
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Center of Dilatation beneath a Volcano | |
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Earth's Sphericity | |
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Summary and Perspective | |
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Problems | |
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References | |
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Gravitational Effects | |
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Nondimensional Form of Equilibrium Equations | |
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Inclusion in Propagator Matrix Formulation | |
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Surface Gravity Approximation | |
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Gravitational Effects in Viscoelastic Solutions | |
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Incompressible Half-Space | |
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No-Buoyancy Approximation | |
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Wang Approach | |
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Comparison of Different Viscoelastic Models | |
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Relaxed Viscoelastic Response | |
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Changes in Gravity Induced by Deformation | |
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Gravity Changes and Volcano Deformation | |
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An Example from Long Valley Caldera, California | |
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Summary and Perspective | |
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Problems | |
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References | |
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Poroelastic Effects | |
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Constitutive Laws | |
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Macroscopic Description | |
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Micromechanical Description | |
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Field Equations | |
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Analogy to Thermoelasticity | |
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One-Dimensional Deformation | |
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Step Load on the Free Surface | |
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Time-Varying Fluid Load on the Free Surface | |
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Dislocations in Two Dimensions | |
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Inflating Magma Chamber in a Poroelastic Half-Plane | |
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Cumulative Poroelastic Deformation in Three Dimensions | |
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Specified Pore Pressure Change | |
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Summary and Perspective | |
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Problems | |
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References | |
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Fault Friction | |
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Slip-Weakening Friction | |
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Velocity-Weakening Friction | |
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Rate and State Friction | |
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Linearized Stability Analysis | |
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Implications for Earthquake Nucleation | |
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Nonlinear Stability Analysis | |
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Afterslip | |
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Transient Slip Events | |
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Summary and Perspective | |
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Problems | |
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References | |
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Interseismic Deformation and Plate Boundary Cycle Models | |
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Elastic Dislocation Models | |
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Dip-Slip Faults | |
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Plate Motions | |
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Elastic Block Models | |
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Viscoelastic Cycle Models | |
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Viscoelastic Strike-Slip Earthquake Cycle Models | |
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Comparison to Data from San Andreas Fault | |
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Viscoelastic Models with Stress-Driven Deep-Fault Creep | |
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Viscoelastic Cycle Models for Dipping Faults | |
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Rate-State Friction Earthquake Cycle Models | |
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Summary and Perspective | |
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Problems | |
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References | |
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Integral Transforms | |
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Fourier Transforms | |
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Laplace Transforms | |
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References | |
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A Solution of the Diffusion Equation | |
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Displacements Due to Crack Model of Strike-Slip Fault by Contour Integration | |
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Index | |