 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| N. D. Vaisfel'd, "Unsteady problems of diffraction of elastic waves on defects in spherically layered media," Mech. Solids. 40 (3), 57-66 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
3 |
Pages |
57-66 |
| Title |
Unsteady problems of diffraction of elastic waves on defects in spherically layered media |
| Author(s) |
N. D. Vaisfel'd (Odessa) |
| Abstract |
A spherically layered medium under the action of an unsteady elastic wave
is considered. The elastic constants of the medium undergo a jump
discontinuity on the spherical surfaces, on which the defects in the form
of cracks or thin rigid inclusions are located. The method for solving
problems of diffraction of waves on such defects is based on
introducing new unknown functions instead of the displacements and the
stresses. These new functions are linear functions of the displacements
and stresses. The representation of these functions in terms of the
solutions of the wave equations makes it possible to solve the problem for
an arbitrary number of layers. The method is illustrated for the case of
the diffraction of an unsteady torsional wave on an interfacial crack
located in a two-layered medium. The problem is reduced to an integral
equation which is solved approximately. For the stress intensity factor,
the formula is obtained and the numerical investigation is performed. |
| References |
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| 18. | N. D. Vaisfel'd and G. Ya. Popov, "The problem of diffraction of
the torsion wave on a spherical crack," in Material Fracture Mechanics and
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pp. 260-264, Lvov, 1999. |
|
| Received |
17 March 2003 |
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