Integral transform techniques for Green's function
By: Kazumi Watanabe
Series: Lecture notes in applied and computational mechanics -- volume 71; Lecture notes in applied and computational mechanics -- v.71,
Publisher: Springer
Published: 2014
Place of publication: Cham; New York
Language: eng
Number of pages: 190
ISBN-13: 9783319008783; 9783319008790
Copyright date: 2014
Subjects: Integral transforms; Green's functions
Description: 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 --
Notes: Includes bibliographical references and index.
Table of contents: title: 1. Definition of integral transforms and distributions; title: 2. Green's functions for Laplace and wave equations; title: 3. Green's dyadic for an isotropic elastic solid; title: 4. Acoustic wave in an uniform flow; title: 5. Green's functions for beam and plate; title: 6. Cagniard de Hoop technique; title: 7. Miscellaneous Green's functions.