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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 71))

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Abstract

This last chapter presents three Green’s functions. 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 is concerned with Green’s function for an SH wave which is reflected at a moving boundary. All the Green’s functions are obtained by applying the method of integral transform. Especially, in the last section which discusses wave reflection at a moving edge, a conversion formula between two different Laplace inversion integrals is developed so that we can treat the moving boundary problem.

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Reference

  • Erdélyi A (ed) (1954) Tables of integral transforms, Vol I. McGraw-Hill, New-York

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Correspondence to Kazumi Watanabe .

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© 2014 Springer International Publishing Switzerland

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Watanabe, K. (2014). Miscellaneous Green’s Functions. In: Integral Transform Techniques for Green's Function. Lecture Notes in Applied and Computational Mechanics, vol 71. Springer, Cham. https://doi.org/10.1007/978-3-319-00879-0_7

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  • DOI: https://doi.org/10.1007/978-3-319-00879-0_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-00878-3

  • Online ISBN: 978-3-319-00879-0

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