The massive body impact on a uniformly stretched pivotally supported rectangular plate on an elastic Winkler base and on an endless plate lying on the surface of an ideal incompressible fluid is investigated. The asymptotic behavior of the Green influence function is used. The elastoplastic impact solution is in good agreement with numerical calculations and experimental data. The results to study the material properties are used when an indenter impacts ice.

Normal impact of a massive body on a uniformly stretched plate lying on the base is investigated. A hinged round or rectangular plate on an elastic base, or an infinite plate on the surface of an ideal incompressible fluid is considered. The solution to the elastoplastic impact is in good agreement with numerical calculations and experimental data. With a small parameter of elastic collapse, that is, with the developed local plastic deformations, a solution to the problem of impact with rigid-plastic local collapse can be used. Approximate formulas for calculating the main characteristics of rigid-plastic impact are set up.