| Preface page SECTION I: PRELIMINARIES 1. Fundamentals 1.1 Notation and table of symbols 1.2 Sign convention 1.3 Coordinate systems and differential operators 1.3.1 Cartesian coordinates 1.3.2 Cylindrical coordinates 1.3.3 Spherical coordinates 1.4 Strains, stresses, and the elastic wave equation 1.4.1 Cartesian coordinates 1.4.2 Cylindrical coordinates 1.4.3 Spherical coordinates 2. Dipoles 2.1 Point dipoles or doublets: single couples and tensile crack sources 2.2 Line dipoles 2.3 Torsional point sources 2.4 Seismic moments (double couples with no net resultant) 2.5 Blast loads (explosive line and point sources) 2.6 Dipoles in cylindrical coordinates SECTION II: FULL SPACE PROBLEMS 3. Two-dimensional problems in full, homogeneous spaces 3.1 Fundamental identities and definitions 3.2 Anti-plane line load (SH waves) 3.3 SH line load in an orthotropic space 3.4 In-plane line load (SV-P waves) 3.5 Dipoles in plane strain 3.6 Line blast source: suddenly applied pressure 3.7 Cylindrical cavity subjected to pulsating pressure 4. Three-dimensional problems in full, homogeneous spaces 4.1 Fundamental identities and definitions 4.2 Point load (Stokes problem) 4.3 Tension cracks 4.4 Double couples (seismic moments) 4.5 Torsional point source 4.6 Torsional point source with vertical axis 4.7 Point blast source 4.8 Spherical cavity subjected to arbitrary pressure 4.9 Spatially harmonic line source (2½-D problem) SECTION III: HALF-SPACE PROBLEMS 5. Two-dimensional problems in homogeneous half-spaces 5.1 Half-plane, SH line source and receiver anywhere 5.2 SH line load in an orthotropic half-plane 5.3 Half-plane, SV-P source and receiver at surface (Lamb’s problem) 5.4 Half-plane, SV-P source on surface, receiver at interior, or vice versa 5.5 Half-plane, line blast load applied in its interior (Garvin’s problem) 6. Three-dimensional problems in homogeneous half-spaces 6.1 3-D half-space, suddenly applied vertical point load on its surface (Pekeris-Mooney’s problem) 6.2 3-D half-space, suddenly applied horizontal point load on its surface (Chao’s problem) 6.3 3-D half-space, buried torsional point source with vertical axis SECTION IV: PLATES AND STRATA 7. Two-dimensional problems in homogeneous plates and strata 7.1 Plate subjected to SH line source 7.1.1 Solution using the method of images 7.1.2 Normal mode solution 7.2 Stratum subjected to SH line source 7.2.1 Solution using the method of images 7.2.2 Normal mode solution 7.3 Plate with mixed boundary conditions subjected to SV-P line source 7.3.1 Solution using the method of images 7.3.2 Normal mode solution SECTION V: ANALYTICAL AND NUMERICAL METHODS Read me first 8. Solution to the Helmholtz and wave equations 9. Integral transform method 125 10. Stiffness matrix method for layered media SECTION VI: APPENDICES 11. Basic properties of mathematical functions 12. Brief table of integral transforms 13. MATLAB programs |
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