Abstract
On the basis of the methods of thermoelasticity, a mathematical description of the model of partial closure of a curved crack in a plane with the help of an induced temperature field was carried out. The determination of unknown contact stresses and the sizes of the contact zones in each approximation is reduced to the solution of a singular integral equation. Normal and tangential contact stresses and the values of the size of the tip zones where the faces of a curved crack close are found.
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