Stressed State of a Hollow Conducting Sphere under the Electromagnetic Action in the Decaying Sinusoid Mode

We formulate a dynamic centrally symmetric problem of thermomechanics for a hollow conducting sphere subjected to a homogeneous nonstationary electromagnetic action in the decaying sinusoid mode. We obtain the solution of this problem by using the cubic approximations of the azimuthal component of the vector of magnetic field and the radial component of the stress tensor in the radial coordinate. We also perform the numerical analysis of the thermal stressed state and the load-carrying capacity of nonferromagnetic spheres under the indicated conditions.