Ebook: Integral Transform Techniques for Green's Function

In this book mathematical techniques for integral transforms are described in detail but concisely. The techniques are applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. The Green's functions for beams, plates and acoustic media are also shown along with their mathematical derivations. Lists of Green's functions are presented for the future use. The Cagniard's-de Hoop method for the double inversion is described in detail, and 2D and 3D elasto-dynamics problems are fully treated.

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In this book mathematical techniques for integral transforms are described in detail but concisely. The techniques are applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. The Green's functions for beams, plates and acoustic media are also shown along with their mathematical derivations. Lists of Green's functions are presented for the future use. The Cagniard's-de Hoop method for the double inversion is described in detail, and 2D and 3D elasto-dynamics problems are fully treated.

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In this book mathematical techniques for integral transforms are described in detail but concisely. The techniques are applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. The Green's functions for beams, plates and acoustic media are also shown along with their mathematical derivations. Lists of Green's functions are presented for the future use. The Cagniard's-de Hoop method for the double inversion is described in detail, and 2D and 3D elasto-dynamics problems are fully treated.
Content:
Front Matter....Pages i-xii
Definition of Integral Transforms and Distributions....Pages 1-10
Green’s Functions for Laplace and Wave Equations....Pages 11-42
Green’s Dyadic for an Isotropic Elastic Solid....Pages 43-75
Acoustic Wave in a Uniform Flow....Pages 77-92
Green’s Functions for Beam and Plate....Pages 93-106
Cagniard-de Hoop Technique....Pages 107-155
Miscellaneous Green’s Functions....Pages 157-186
Back Matter....Pages 187-190