02424nam 2200505Ia 450 991029947240332120200520144314.03-319-00879-X10.1007/978-3-319-00879-0(OCoLC)859157583(MiFhGG)GVRL6WWC(CKB)2670000000423213(MiAaPQ)EBC1398611(EXLCZ)99267000000042321320130823d2014 uy 0engurun|---uuuuatxtccrIntegral transform techniques for Green's function /Kazumi Watanabe1st ed. 2014.Cham ;New York Springerc20141 online resource (xii, 190 pages) illustrations (some color)Lecture Notes in Applied and Computational Mechanics,1860-0816 ;71"ISSN: 1613-7736."3-319-03356-5 3-319-00878-1 Includes bibliographical references and index.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.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.Lecture notes in applied and computational mechanics ;volume 71.Green's functionsPotential theory (Mathematics)Green's functions.Potential theory (Mathematics)515/.723Watanabe Kazumi739888MiAaPQMiAaPQMiAaPQBOOK9910299472403321Integral Transform Techniques for Green's Function1466051UNINA