03532nam 22006975 450 991029983390332120250609110048.03-319-17455-X10.1007/978-3-319-17455-6(CKB)3710000000402772(EBL)2096960(SSID)ssj0001501216(PQKBManifestationID)11808248(PQKBTitleCode)TC0001501216(PQKBWorkID)11522536(PQKB)10305804(DE-He213)978-3-319-17455-6(MiAaPQ)EBC3109910(PPN)185490301(MiAaPQ)EBC2096960(EXLCZ)99371000000040277220150417d2015 u| 0engur|n|---|||||txtccrIntegral Transform Techniques for Green's Function /by Kazumi Watanabe2nd ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (274 p.)Lecture Notes in Applied and Computational Mechanics,1860-0816 ;76Description based upon print version of record.3-319-17454-1 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.This book describes mathematical techniques for integral transforms in a detailed but concise manner. The techniques are subsequently applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. Green’s functions for beams, plates and acoustic media are also shown, along with their mathematical derivations. The Cagniard-de Hoop method for double inversion is described in detail, and 2D and 3D elastodynamic problems are treated in full. This new edition explains in detail how to introduce the branch cut for the multi-valued square root function. Further, an exact closed form Green’s function for torsional waves is presented, as well as an application technique of the complex integral, which includes the square root function and an application technique of the complex integral.Lecture Notes in Applied and Computational Mechanics,1860-0816 ;76Engineering mathematicsEngineeringData processingMechanics, AppliedMathematical analysisMathematical and Computational Engineering ApplicationsEngineering MechanicsIntegral Transforms and Operational CalculusEngineering mathematics.EngineeringData processing.Mechanics, Applied.Mathematical analysis.Mathematical and Computational Engineering Applications.Engineering Mechanics.Integral Transforms and Operational Calculus.515.72519620620.1Watanabe Kazumiauthttp://id.loc.gov/vocabulary/relators/aut739888BOOK9910299833903321Integral Transform Techniques for Green's Function1466051UNINA