### Abstract

The complete eigenfunction expansion form of the Green's function for elastic layered media developed by the author is applied to a scattering problem. This form of the Green's function is an extension of that presented by Lamb. It clarifies the mathematical common frame between the residue terms and the branch line integrals of the Green's function in terms of the energy integrals and eigenfunctions. The advantage of the usage of the complete eigenfunction expansion form of the Green's function for the scattering problem is in that the possibility of analyzing the the scattering waves in terms of the eigenfunctions for the discrete and continuous spectra defined for the layered medium. Several numerical calculations are carried out to examine the properties of the scattering waves.

Original language | English |
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Pages (from-to) | 445-454 |

Number of pages | 10 |

Journal | International Series on Advances in Boundary Elements |

Volume | 19 |

Publication status | Published - 11 Oct 2004 |

Event | 26th World Conference on Boundary Elements and Other Mesh Reduction Methods, BEM XXVI - Bologna, Italy Duration: 19 Apr 2004 → 21 Apr 2004 |

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### Keywords

- Complete eigenfunction expansion form of the Green's function
- Elastic layered medium
- Scattering problem