ice cover breaking, mathematical modeling, air–gas mixture explosion, stress–strain state

The axisymmetric problem about the air-gas mixture explosion influence on the ice plate of end thickness is solved. The mathematical modelling of the process is construsted using equations of the elasticity theory for small deformations and Navier-Stokes equations for viscous incompressible liquid. The formulated set of equations is solved by the approved numerical method. As a result of numerical calculations, dependences of the maximum thickness of destroyed ice an air-das mixture volume are received.