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1 Definition of Integral Transforms and Distributions |
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1 | (32) |
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1 | (5) |
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1.2 Distributions and Their Integration Formulas |
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6 | (5) |
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1.3 Branch Cut and Argument of Square Root Functions |
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11 | (17) |
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1.3.1 Square Root Function 1: g(z) = √z - Z0 |
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11 | (3) |
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1.3.2 Square Root Function 2: g(z) = √z2 - z20 |
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14 | (14) |
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1.4 Comments on Inversion Techniques and Integration Formulas |
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28 | (5) |
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32 | (1) |
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2 Green's Functions for Laplace and Wave Equations |
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33 | (44) |
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33 | (5) |
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2.2 1D Time-Harmonic Source |
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38 | (6) |
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44 | (5) |
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49 | (2) |
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2.5 2D Time-Harmonic Source |
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51 | (17) |
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68 | (2) |
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70 | (3) |
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2.8 3D Time-Harmonic Source |
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73 | (4) |
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76 | (1) |
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76 | (1) |
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3 Green's Dyadic for an Isotropic Elastic Solid |
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77 | (44) |
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79 | (8) |
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3.2 2D Time-Harmonic Source |
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87 | (2) |
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89 | (7) |
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96 | (11) |
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3.5 3D Time-Harmonic Source |
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107 | (1) |
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108 | (1) |
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109 | (12) |
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110 | (3) |
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3.7.2 Point Torque Source |
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113 | (3) |
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116 | (3) |
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119 | (2) |
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4 Acoustic Wave in a Uniform Flow |
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121 | (18) |
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4.1 Compressive Viscous Fluid |
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121 | (2) |
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123 | (3) |
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4.3 Viscous Acoustic Fluid |
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126 | (3) |
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4.4 Wave Radiation in a Uniform Flow |
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129 | (6) |
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4.5 Time-Harmonic Wave in a Uniform Flow |
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135 | (4) |
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137 | (2) |
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5 Green's Functions for Beam and Plate |
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139 | (14) |
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5.1 An Impulsive Load on a Beam |
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139 | (3) |
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5.2 A Moving Time-Harmonic Load on a Beam |
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142 | (3) |
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5.3 An Impulsive Load on a Plate |
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145 | (3) |
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5.4 A Time-Harmonic Load on a Plate |
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148 | (5) |
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152 | (1) |
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152 | (1) |
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6 Cagniard-de Hoop Technique |
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153 | (52) |
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6.1 2D Anti-plane Deformation |
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154 | (8) |
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6.2 2D In-plane Deformation |
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162 | (16) |
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6.3 3D Dynamic Lamb's Problem |
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178 | (27) |
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204 | (1) |
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7 Miscellaneous Green's Functions |
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205 | (56) |
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7.1 2D Static Green's Dyadic for an Orthotropic Elastic Solid |
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205 | (8) |
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7.2 2D Static Green's Dyadic for an Inhomogeneous Elastic Solid |
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213 | (9) |
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7.2.1 2D Kelvin's Solution for Homogeneous Media |
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221 | (1) |
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7.3 Green's Function for Torsional Waves in a Monoclinic Material |
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222 | (5) |
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7.4 Reflection of a Transient SH-Wave at a Moving Boundary |
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227 | (15) |
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7.5 Wave Scattering by a Rigid Inclusion in an Inhomogeneous Elastic Solid |
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242 | (11) |
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7.6 An Excellent Application of Cauchy Complex Integral |
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253 | (8) |
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260 | (1) |
Index |
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261 | |