At the two-layered cylindrical and spherical pressure vessels expressions for stress waves arising at dynamic loading, for elastic and hard-plastic material with limited compressibility are obtained. Stressed-deformed state of the two-layered pressure vessels with elastic filler and realization Winkler hypothesis between layers and on external vessel surface is investigated. The obtained solution for one-layered vessels coincides with one of E. Kh. Agababyan at the absence of external pressure.
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