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Published in:
Definition of Integral Transforms and Distributions Read chapter Read first chapter

2015 | OriginalPaper | Chapter

3. Green’s Dyadic for an Isotropic Elastic Solid

Author : Kazumi Watanabe

Published in: Integral Transform Techniques for Green's Function

Publisher: Springer International Publishing

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Abstract

The Green's dyadic for 2D and 3D elastodynamic problems are discussed in this chapter. Three basic responses, impulsive, time-harmonic and static responses, are obtained by the integral transform method. The time-harmonic response is derived by the convolution integral of the impulsive response without solving the differential equations for the time-harmonic source. In the last section, two exact closed form Green's functions for torsional waves are also presented.

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previous chapter Green’s Functions for Laplace and Wave Equations
next chapter Acoustic Wave in a Uniform Flow
Appendix
Available only for authorised users
Literature
Erdélyi A (ed) (1954) Tables of integral transforms, vol I and II. MacGraw-Hill, New-York
Gradshteyn IS, Ryzhik IM (Jefferey A (ed)) (1980) Table of integrals, series, and products, 5th edn. Academic Press, San Diego
Watson GN (1966) A treatise on the theory of bessel functions. Cambridge University Press, Cambridge (1966)
Metadata
Title
Green’s Dyadic for an Isotropic Elastic Solid
Author
Kazumi Watanabe
Copyright Year
2015
Book
Integral Transform Techniques for Green's Function

Print ISBN: 978-3-319-17454-9

Electronic ISBN: 978-3-319-17455-6

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-17455-6_3

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