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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2003-6pp.95-101

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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
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