Stress-intensity coefficients in an infinite plate with a crack in a nonuniform steady field

The stress-strain state around the end of a crack ¦x¦<, y=0 in the elastic plane (x, y) is considered for arbitrary given loads acting on the periphery of the crack and constant load at infinity. At the same time, there is a plane thermalstress state due to a steady heat flux parallel to the considered plane. An analytical expression is found for the stress-intensity coefficients in the given conditions, generalizing the case previously considered. A series of examples is given on the calculation of the intensity coefficients of purely temperature stresses in specific conditions of the thermal state of the elastic body. The results obtained may be used in constructing a theory of the time dependence of the strength in the gross failure of polymer materials.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 7–13, March, 1979.