On the wave dynamics in damaged shells interacting with the volume of the cavitating liquid

We study the details of shock front propagation in the system of deformable medium (shells) with damages and two-phase liquid with gas or steam bubbles. We develop the models for the nonlinear processes of media interacting taking into account the phase transformations in liquid and the damaging kinetics of deformable medium. The destruction of deformable medium is considered as the evolution of microdamages or spherical pores, taking as the gas bubbles similarly with the cavitating liquid. The aggregation of the bubbles at the viscoplastic flow cases the macrofracture forming. We formulate the nonlinear boundary value problem of the multiphase medium dynamics, that includes the equations of the phase interaction and phase transformations. The solution of the problem is based on the decomposition method (an expansion in the processes), finite difference method and finite element method. The results presented are of interest for the practical applications.