ENGLISH

Integral Transform Techniques for Green's Function

By Kazumi Watanabe (auth.)

Book information

Publisher
Springer International Publishing
Year
2015
ISBN
978-3-319-17454-9, 978-3-319-17455-6
DOI
10.1007/978-3-319-17455-6
Language
english
Format
PDF
Filesize
4 MB (4213660 bytes)
Series
Lecture Notes in Applied and Computational Mechanics 76
Edition
2
Pages
264\274
Time added
2015-07-18 18:00:00
Appl.Mathematics/Computational Methods of EngineerOperational Calculus

Description

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.

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