VORTEX MOTIONS OF SOLID MEDIA IN DYNAMIC PROBLEMS OF THE ELASTICITY THEORY V. A. Andrushchenko , V. A. Goloveshkin , and N. N. Kholin UDC 539.3/532.527 Within the framework of a problem of constructing a mathematical theory for vortex motions of solid media, we investigated a number of problems of the dynamic elasticity theory with application of numerical and analytical approaches. The solution for a self-similar problem in the finite form is presented, which we were able to divide uniquely into potential and vortex components. JEPTER74920199920 JEPTER7492020