Viscoplastic dynamics of metallic composite shells of layered-fibrous structure under the action of loads of explosive type. I. Statement of the problem and method for solution

We formulate the problem of viscoplastic dynamic deformation of metallic composite shells of layered-fibrous structure. We have developed an original numerical method for the integration of the posed initial boundary-value problem based on the successive discretization of the domain of definition of the solution first with respect to time and then with respect to space variables.