Converging super-elliptic torsional shear waves in a bounded transverse isotropic viscoelastic material with nonhomogeneous outer boundary
A theoretical approach was recently introduced [Guidetti and Royston, J. Acoust. Soc. Am. 144, 2312–2323 (2018)] for the radially converging slow shear wave pattern in transverse isotropic materials subjected to axisymmetric excitation normal to the axis of isotropy at the outer boundary of the mate...
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Veröffentlicht in: | The Journal of the Acoustical Society of America 2019-11, Vol.146 (5), p.EL451-EL457 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | A theoretical approach was recently introduced [Guidetti and Royston, J. Acoust. Soc. Am. 144, 2312–2323 (2018)] for the radially converging slow shear wave pattern in transverse isotropic materials subjected to axisymmetric excitation normal to the axis of isotropy at the outer boundary of the material. This approach is enabled via transformation to an elliptic coordinate system with isotropic properties. The approach is extended to converging fast shear waves driven by axisymmetric torsional motion polarized in a plane containing the axis of isotropy. The approach involves transformation to a super-elliptic shape with isotropic properties and use of a numerically efficient boundary value approximation. |
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ISSN: | 0001-4966 1520-8524 |
DOI: | 10.1121/1.5134657 |