 | | 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: | | 12882 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8071
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| In English (Mech. Solids): | | 4811 |
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| I. V. Kirillova, "Applicability regions of wave front boundary layers in shells of revolution of zero Gaussian curvature," Mech. Solids. 38 (6), 95-101 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
6 |
Pages |
95-101 |
| Title |
Applicability regions of wave front boundary layers in shells of revolution of zero Gaussian curvature |
| Author(s) |
I. V. Kirillova (Saratov) |
| Abstract |
We consider nonstationary waves in shells of revolution of zero Gaussian curvature, with the edge of the shell subjected to longitudinal-tangential, longitudinal-flexural, or normal impact load. Asymptotically optimal equations of boundary layer near wavefronts are studied for extension and shear waves.
Closed subsystems are obtained for asymptotically leading components of the stress-strain state, as well as for its secondary components. It is shown that the boundary layer solutions can be matched with the solutions of the quasi-plane quasi-symmetric elasticity problem and the solutions of the quasi-plane quasi-antisymmetric problem. The position of the matching regions is evaluated, together with the applicability limits of the boundary layer equations. |
| References |
| 1. | L. Yu. Kossovich,
Nonstationary Problems of the Theory of Thin Elastic Shells [in Russian],
Izd-vo Saratov. Un-ta, Saratov, 1986. |
| 2. | J. D. Kaplunov, L. Yu. Kossovich, and E. V. Nolde,
Dynamics of Thin Walled Elastic Bodies, Academic Press, London, 1998. |
| 3. | J. D. Kaplunov, "On the quasi-front in two-dimensional shell theories,"
C. R. Acad. Sci. Paris, Ser. II, Vol. 313, No. 7, pp. 731-736, 1991. |
| 4. | U. Nigul, "Regions of effective application of the methods of three-dimensional and two-dimensional analysis of transient stress waves in shells and plates," Intern. J. Solid. Struct., Vol. 5, No. 6, pp. 607-627, 1969. |
| 5. | U. K. Nigul, "On the methods and the results of analysis of transient wave processes of bending of an elastic plate,"
Izv. AN EstSSR. Ser. Fiz.-Mat. i Tekhn. Nauk, Vol. 14, No. 3, pp. 345-385, 1965. |
|
| Received |
01 June 2001 |
| << Previous article | Volume 38, Issue 6 / 2003 | Next article >> |
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