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.
Table of Content
Definition of integral transforms and distributions.- Green’s functions for Laplace and wave equations.- Green’s dyadic for an isotropic elastic solid.- Acoustic wave in an uniform flow.- Green’s functions for beam and plate.- Cagniard de Hoop technique.- Miscellaneous Green’s functions.- Exercises.
About the author
Professor Watanabe is retired professor (2012) of mechanical engineering; he is active member of the advisory board of Acta Mechanica and has already co-edited a book at Springer
More ebooks from the same author(s) / Editor
5,137 Ebooks in this category
