Nucleation of the crack in the circular heated up disk

On the basis of methods thermoelasticity the mathematical description of model of nucleation of a crack in an elastic circular heated up disk is carried out. Definition of the unknown parameters describing a germinal crack, is reduced to the solution singular the integrated equation. With the help of procedure algebraization the integrated equation is reduced to system of the nonlinear algebraic equations which is solved a method consecutive approximations. Results of work can be used at research of thermostability of materials.