For citation:
Anofrikova N. S., Kossovich L. Y. Asymptotic equations of the hyperbolic boundary layer in the vicinity of the dilatation wave front in the viscoelastic shell of revolution. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2025, vol. 25, iss. 4, pp. 490-497. DOI: 10.18500/1816-9791-2025-25-4-490-497, EDN: XRDSFR
Asymptotic equations of the hyperbolic boundary layer in the vicinity of the dilatation wave front in the viscoelastic shell of revolution
In this article, the asymptotically approximate equations for the hyperbolic boundary layer in a thin semi — infinite viscoelastic shell of revolution in the vicinity of the dilatation wave front at shock edge loading of the tangential type are derived. The Maxwell model represents the material of the shell. The equations are derived asymptotically from the 3-D equations of viscoelasticity in the special coordinate system. This system takes into account the geometry and size of the boundary layer region.
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