Method of investigating nonaxisymmetric dynamic form change in failing shells. Report 1. Theory and numerical method

A mathematical theory describing processes of vigorous dynamic form change in elastoplastic nonaxisymmetric shells is proposed. The damage sustained by the material right up to failure is considered. An analytical method of calculating the nonstationary load on a shell is presented for the case of a hydrodynamic loading. A numerical integrointerpolation method of solving the indicated initially boundary nonlinear nonstationary problem is developed.Translated from Problemy Prochnosti, No. 3, pp. 5–19, March, 1996.