Vinh, P.C. and Ogden, R.W. (2004) Formulas for the Rayleigh wave speed in orthotropic elastic solids. Archives of Mechanics, 56, pp. 247-265.
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Abstract
Formulas for the speed of Rayleigh waves in orthotropic compressible elastic materials are obtained in explicit form by using the theory of cubic equations. Different formulas are obtained by using different forms of the (cubic) secular equation. Each formula is expressed as a continuous function of three dimensionless material parameters, which are the ratios of certain elastic constants. It is interesting to note that one of the formulas includes as a special case the formula obtained recently by Malischewsky for isotropic materials.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Ogden, Professor Raymond |
| Authors: | Vinh, P.C., and Ogden, R.W. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Archives of Mechanics |
| ISSN: | 0373-2029 |
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