The superdeep penetration of a particle into an elastic–plastic medium

Mathematical simulation of impact-induced deep penetration of a rigid spherical particle into an elastic–plastic medium is performed; the law of particle motion and the distance covered by the particle are determined. In solving the boundary-value problem, the principle of virtual velocities and stresses and the phenomenological theory of fracture are used. Realization of the decision is carried out with the use of the MATLAB system of computer mathematics.