 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| V. G. Popov, "Interaction of a harmonic torsional wave with a thin rigid cylindrical inclusion," Mech. Solids. 39 (5), 58-63 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
5 |
Pages |
58-63 |
| Title |
Interaction of a harmonic torsional wave with a thin rigid cylindrical inclusion |
| Author(s) |
V. G. Popov (Odessa) |
| Abstract |
The interaction of torsional waves with an inclusion in an unbounded elastic medium is investigated. The inclusion has a shape of a thin rigid cylindrical shell. The inclusion is movable and can rotate under the action of a wave. The angle of rotation is to be determined when solving the problem. The solution technique utilizes the discontinuous solution of the equation for the angular displacements under torsion. The primary problem is reduced to a singular integral equation for the unknown jump of the tangential stresses on the surface of the inclusion. The solution of this equation is constructed approximately by the mechanical quadrature method. This method is utilized for the numerical analysis of the stress concentration in the medium near the inclusion. The stress concentration is characterized by the coefficient of the singular term in the expression for the tangential stresses. This coefficient is shown to depend on the wave number and the length-to-diameter ratio of the inclusion. |
| References |
| 1. | V. M. Alexandrov, B. I. Smetanin, and B. V. Sobol',
Thin Stress Concentrators in Elastic Bodies
[in Russian], Nauka, Moscow, 1993. |
| 2. | G. Ya. Popov, Yu. A. Morozov, and N. D. Vaisfel'd,
"Solution of dynamic problems of the concentration of elastic stresses near defects on cylindrical surfaces,"
Prikladnaya Mekhanika, Vol. 35, No. 1, pp. 28-36, 1999. |
| 3. | A. N. Guz', V. D. Kubenko, and N. A. Cherevko,
Diffraction of Elastic Waves
[in Russian], Kiev, Naukova Dumka, 1978. |
| 4. | H. Bateman and A. Erdélyi,
Higher Transcendental Functions. Volume 2 [in Russian],
Nauka, Moscow, 1974. |
| 5. | S. M. Belotserkovskii and I. K. Lifanov,
Numerical Methods for Singular Integral Equations
[in Russian], Nauka, Moscow, 1985. |
| 6. | Z. T. Nazarchuk,
Numerical Analysis of Diffraction of Waves on Cylindrical Structures
[in Russian], Naukova Dumka, Kiev, 1989. |
|
| Received |
16 August 2002 |
| << Previous article | Volume 39, Issue 5 / 2004 | Next article >> |
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