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Miscellaneous Green’s Functions

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Integral Transform Techniques for Green's Function

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 76))

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Abstract

This last chapter presents five Green’s functions and one application technique of the complex integral . The first and second sections consider the 2D static Green’s dyadic for an orthotropic elastic solid , and for an inhomogeneous elastic solid. The third section discusses the Green’s function for torsional waves in an anisotropic solid. The fourth section discusses wave reflection at a moving boundary. The fifth section is concerned with wave scattering by a rigid inclusion.Both are for SH-wave and their Green's functions are obtained in the exact closed form. The last section shows an excellent application technique of the complex integral. It reduces a semi-infinite integral, which includes the product of two Bessel functions, to a finite integral that is very suitable for numerical evaluation. 

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References

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Authors and Affiliations

  1. Yamagata University, Yonezawa, Japan

    Kazumi Watanabe

Authors
  1. Kazumi Watanabe
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Correspondence to Kazumi Watanabe .

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© 2015 Springer International Publishing Switzerland

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Watanabe, K. (2015). Miscellaneous Green’s Functions. In: Integral Transform Techniques for Green's Function. Lecture Notes in Applied and Computational Mechanics, vol 76. Springer, Cham. https://doi.org/10.1007/978-3-319-17455-6_7

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  • DOI: https://doi.org/10.1007/978-3-319-17455-6_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-17454-9

  • Online ISBN: 978-3-319-17455-6

  • eBook Packages: EngineeringEngineering (R0)

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