Abstract
The supersonic stage of interaction (where the rate of expansion of the contact region is no less than the speed of compression waves) between a Timoshenko-type spherical shell (indenter) and an elastic half-space (foundation) is studied. The expansion of the desired functions in series in Legendre polynomials and their derivatives are used to construct a system of resolving equations. An analytical-numerical algorithm for solving this system is developed. A similar problem was considered in [1], where the original problem was replaced by a problem with a periodic system of indenters.
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Original Russian Text © E.Yu. Mikhailova, G.V. Fedotenkov, 2011, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2011, No. 2, pp. 98–108.
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Mikhailova, E.Y., Fedotenkov, G.V. Nonstationary axisymmetric problem of the impact of a spherical shell on an elastic half-space (initial stage of interaction). Mech. Solids 46, 239–247 (2011). https://doi.org/10.3103/S0025654411020129
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DOI: https://doi.org/10.3103/S0025654411020129