- Page 2 and 3: FUNDAMENTAL SOLUTIONS IN ELASTODYNA
- Page 4 and 5: Fundamental Solutions in Elastodyna
- Page 8 and 9: Contents vii SECTION V: ANALYTICAL
- Page 10 and 11: Preface We present in this work a c
- Page 12 and 13: SECTION I: PRELIMINARIES 1 Fundamen
- Page 14 and 15: 1.1 Notation and table of symbols 3
- Page 16 and 17: 1.3 Coordinate systems and differen
- Page 18 and 19: 1.3 Coordinate systems and differen
- Page 20 and 21: 1.3 Coordinate systems and differen
- Page 22 and 23: 1.3 Coordinate systems and differen
- Page 24 and 25: 1.4 Strains, stresses, and the elas
- Page 26 and 27: 1.4 Strains, stresses, and the elas
- Page 28 and 29: 1.4 Strains, stresses, and the elas
- Page 30 and 31: 1.4 Strains, stresses, and the elas
- Page 32 and 33: 1.4 Strains, stresses, and the elas
- Page 34 and 35: 1.4 Strains, stresses, and the elas
- Page 36 and 37: 1.4 Strains, stresses, and the elas
- Page 38 and 39: 2 Dipoles In most cases, we provide
- Page 40 and 41: 2.2 Line dipoles 29 z z z y y y x x
- Page 42 and 43: 2.5 Blast loads (explosive line and
- Page 44 and 45: 2.6 Dipoles in cylindrical coordina
- Page 46 and 47: SECTION II: FULL SPACE PROBLEMS 3 T
- Page 48 and 49: 3.3 SH line load in an orthotropic
- Page 50 and 51: 3.4 In-plane line load (SV-P waves)
- Page 52 and 53: 3.5 Dipoles in plane strain 41 0.6
- Page 54 and 55: 3.6 Line blast source: suddenly app
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3.7 Cylindrical cavity subjected to
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3.7 Cylindrical cavity subjected to
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4.2 Point load (Stokes problem) 49
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4.2 Point load (Stokes problem) 51
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4.3 Tension cracks 53 given earlier
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4.5 Torsional point source 55 Spher
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4.6 Torsional point source with ver
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4.8 Spherical cavity subjected to a
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4.8 Spherical cavity subjected to a
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4.9 Spatially harmonic line source
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4.9 Spatially harmonic line source
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4.9 Spatially harmonic line source
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SECTION III: HALF-SPACE PROBLEMS 5
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5.3 Half-plane, SV-P source and rec
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5.4 Half-plane, SV-P source on surf
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5.4 Half-plane, SV-P source on surf
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5.5 Half-plane, line blast load app
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6.1 3-D half-space, suddenly applie
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6.2 3-D half-space, suddenly applie
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6.3 3-D half-space, buried torsiona
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6.3 3-D half-space, buried torsiona
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SECTION IV: PLATES AND STRATA 7 Two
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7.2 Stratum subjected to SH line so
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7.3 Plate with mixed boundary condi
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7.3 Plate with mixed boundary condi
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7.3 Plate with mixed boundary condi
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SECTION V: ANALYTICAL AND NUMERICAL
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8.1 Summary of results 99 Plane str
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8.2 Scalar Helmholtz equation in Ca
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8.3 Vector Helmholtz equation in Ca
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8.4 Elastic wave equation in Cartes
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8.4 Elastic wave equation in Cartes
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8.6 Vector Helmholtz equation in cy
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8.7 Elastic wave equation in cylind
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8.7 Elastic wave equation in cylind
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8.7 Elastic wave equation in cylind
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8.8 Scalar Helmholtz equation in sp
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8.9 Vector Helmholtz equation in sp
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8.10 Elastic wave equation in spher
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8.10 Elastic wave equation in spher
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9 Integral transform method The int
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9.1 Cartesian coordinates 127 In pa
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9.1 Cartesian coordinates 129 Writi
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9.2 Cylindrical coordinates 131 Fou
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9.2 Cylindrical coordinates 133 Hen
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9.2 Cylindrical coordinates 135 Oth
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9.3 Spherical coordinates 137 √
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9.3 Spherical coordinates 139 ∫
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10.1 Summary of method 141 special
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10.2 Stiffness matrix method in Car
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10.2 Stiffness matrix method in Car
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10.2 Stiffness matrix method in Car
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10.2 Stiffness matrix method in Car
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10.2 Stiffness matrix method in Car
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10.2 Stiffness matrix method in Car
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10.2 Stiffness matrix method in Car
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10.2 Stiffness matrix method in Car
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10.3 Stiffness matrix method in cyl
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10.3 Stiffness matrix method in cyl
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10.3 Stiffness matrix method in cyl
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10.3 Stiffness matrix method in cyl
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10.3 Stiffness matrix method in cyl
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10.3 Stiffness matrix method in cyl
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10.3 Stiffness matrix method in cyl
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10.3 Stiffness matrix method in cyl
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10.4 Stiffness matrix method for la
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10.4 Stiffness matrix method for la
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10.4 Stiffness matrix method for la
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10.4 Stiffness matrix method for la
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10.4 Stiffness matrix method for la
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SECTION VI: APPENDICES 11 Basic pro
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11.2 Spherical Bessel functions 187
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11.3 Legendre polynomials 189 1.0 P
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11.4 Associated Legendre functions
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11.4 Associated Legendre functions
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12.1 Fourier transforms 195 b) Wave
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12.3 Spherical Hankel transforms 19
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function [ ] = SH2D Full( ) 199 fun
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function [ ] = SVP2D Full(x, z, poi
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function [ ] = SVP2D Full(x, z, poi
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function [ ] = Blast2D(pois) 205 Ur
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function [ ] = Cavity2D(r, r0, pois
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function [ ] = Point Full(pois) 209
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function Torsion Full(x, y, z, td,
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function [ ] = Cavity3D(r, pois) 21
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function [ ] = SH2D Half(xs, zs, xr
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function [T, Ux, Uz] = Garvin(x, z,
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function [T, Uxx, Uxz, Uzz] = lamb2
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function [T, Uxx, Uxz, Uzz] = lamb2
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function [T, Uxx, Uxz, Uzz] = lamb2
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function [T, Uxx, Utx, Uzz, Urz] =
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function [T, Uxx, Utx, Uzz, Urz] =
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function [ ] = Torsion Half(r, z, z
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function [ ] = Torsion Half(r, z, z
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function [ ] = SH Plate(x, z, z0) 2
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function [ ] = SH Stratum(x, z, z0)
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function [ ] = SH Stratum(x, z, z0)
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function [ ] = SVP Plate(x, z, z0,
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function [ ] = SVP Plate(x, z, z0,
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function [ ] = SVP Plate(x, z, z0,
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function [ztors, zspher] = spheroid
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function [ztors, zspher] = spheroid
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function [si] = cisib(x) 249 functi
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function [el3] = ellipint3(phi, N,