3D Green’s function for equations of harmonic vibrations
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- 作者：Alla V. Ilyashenko ; Sergey V. Kuznetsov
- 关键词：Green’s function ; Anisotropy ; Harmonic vibrations ; Multipolar expansions
- 刊名：Archive of Applied Mechanics
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：87
- 期：1
- 页码：159-165
- 全文大小：
- 刊物类别：Engineering
- 刊物主题：Theoretical and Applied Mechanics; Classical Mechanics;
- 出版者：Springer Berlin Heidelberg
- ISSN：1432-0681
- 卷排序：87
文摘
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.