 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ÏÌÌ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| D.P. Kouzov and Yu.A. Solov’eva, "Diffraction of a non-stationary linearly inhomogeneous acoustic wave which slides off a semi-infinite soft screen," J. Appl. Math. Mech. 78 (5), 488-493 (2014) |
| Year |
2014 |
Volume |
78 |
Issue |
5 |
Pages |
488-493 |
| Title |
Diffraction of a non-stationary linearly inhomogeneous acoustic wave which slides off a semi-infinite soft screen |
| Author(s) |
D.P. Kouzov (St Petersburg, Russia, adk13@mail.ru)
Yu.A. Solov’eva (St Petersburg, Russia, yu.solovyeva@gmail.com) |
| Abstract |
An exact analytical solution of a new non-stationary scalar diffraction problem is obtained and analysed. A plane acoustic wave with a profile in the form of a delta function propagates along a semi-infinite soft screen. The wave amplitude varies linearly along the wave front. After reaching the end of the screen it "slides" off the screen, generating a diffraction field. A special modification of the Smirnov-Sobolev method is used to find this field. The solution is obtained in the form of an elementary function. It is shown that the sliding wave excites a travelling perturbation that is unlimited along the length of the screen. A similar phenomenon obviously also occurs when elastic waves slide from a cut (crack), which must be taken into account, in particular, in fracture theory. |
| Received |
20 February 2013 |
| Link to Fulltext |
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