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3D Green’s function for equations of harmonic vibrations

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Abstract

3D Green’s functions (fundamental solutions) for equations of harmonic vibrations in anisotropic media with arbitrary elastic anisotropy are constructed by the multipolar and analytic expansion method. Properties of the series representing fundamental solutions are investigated. For the first time, Green’s function for isotropic medium is obtained in a closed form that is valid at any real frequency and convergent to Kelvin’s fundamental solution at vanishing frequencies.

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Authors and Affiliations

  1. Moscow State University of Civil Engineering, Moscow, Russia

    Alla V. Ilyashenko

  2. Institute for Problems in Mechanics, Moscow, Russia

    Sergey V. Kuznetsov

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  1. Alla V. Ilyashenko
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  2. Sergey V. Kuznetsov
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Correspondence to Sergey V. Kuznetsov.

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Ilyashenko, A.V., Kuznetsov, S.V. 3D Green’s function for equations of harmonic vibrations. Arch Appl Mech 87, 159–165 (2017). https://doi.org/10.1007/s00419-016-1184-y

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  • DOI: https://doi.org/10.1007/s00419-016-1184-y

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