beam, explosive load, strain rate, added mass, viscosity, explosion in water, principle of least action.

An analytical solution to the problem of deformation by an explosion of a concentrated charge of a condensed explosive (HE) of a beam, the material of which is sensitive to the rate of deformation, is presented. The influence of the external environment (water) on the process and the results of deformation is taken into account by introducing the added mass.The viscosity coefficient and the modulus of elasticity in fixed intervals of strain rates are determined from experiments. For these parameters, which characterize the material of the beam under impulse deformation, an analytical relationship and a lower limit of values for the viscosity coefficient are obtained. The solution to the problem is found by the method of separation of variables in the governing equation of motion. In this case, the shape of the elastic line of the beam for each moment of time is selected based on the requirement to fulfill the boundary conditions and the principle of minimum deformation work.

Volodin Gennady Timofeevich,

Doctor of Technical Sciences, Professor, Tula State University, Tula, Russia,

Kochergin Denis Sergeevich,

postgraduate student, Tula State University, Tula, Russia.