## Solutions of coupled problem of thermomechanics for electroconductive hollow cylinder under non-stationary electromagnetic action

A plane axisymmetrical coupled dynamic problem of thermomechanics for an electroconductive hollow cylinder under homogeneous non-stationary electromagnetic action is formulated. To construct its solution, the approximation of the determining functions — the axial component of the magnetic field strength vector, the temperature, and the radial component of the displacement vector with respect to the radial variable — by cubic polynomials is used. As the result, the initial-boundary problem for determining functions is reduced to a Cauchy problem with respect to the time variable for the inte