Overview
- A valuable reference book for engineers
- Includes full descriptions of the Cagniard-de Hoop technique and the branch cut for square root functions
- Employs a unified mathematical technique as the solution method for the fundamental partial differential equations
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM, volume 76)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Integral Transform Techniques for Green's Function
Authors: Kazumi Watanabe
Series Title: Lecture Notes in Applied and Computational Mechanics
DOI: https://doi.org/10.1007/978-3-319-17455-6
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-17454-9Published: 04 May 2015
Softcover ISBN: 978-3-319-34587-1Published: 09 October 2016
eBook ISBN: 978-3-319-17455-6Published: 20 April 2015
Series ISSN: 1613-7736
Series E-ISSN: 1860-0816
Edition Number: 2
Number of Pages: XIV, 264
Number of Illustrations: 27 b/w illustrations, 26 illustrations in colour
Topics: Mathematical and Computational Engineering, Theoretical and Applied Mechanics, Integral Transforms, Operational Calculus