On Solving Boundary Problems of Thermoviscoelasticity, Taking Account of the Effect of Mass Forces with Potentials.

Principal relations of plane thermoviscoelasticity, taking into account mass forces, are constructed for the case of a nonlinear physical dependence containing eight inheritance kernels. It is assumed that the mass forces have potentials. Using the Kolosov-Muskhelishvili analytical functions, an approximation method of integrating the nonlinear problem equation is formulated. As an example, the problem of the stressed state of a rotating disk heated to the temperature T equals const is solved for the time moment t EPSILON left bracket 0 infinity ). The decoding of the aggregates of the resolvent operators is carried out for the exponential creep kernel, taking into consideration congruency of the isochronous curves.