Abstract
The equation determining the stochastic character of the development of brittle fracture of a loaded material as a result of the extension of a fracture crack in it in the presence of stationary heat and mass transfer has been obtained. It is shown that the evolution of the fracture crack is determined by the increment of the thermodynamic potential of the material with a change in its characteristic dimension (length). Based on the indicated equation, an estimate of the average durability of a loaded material with an internal rectilinear crack under the conditions of stationary heat and mass transfer is made. From the condition of the stationarity of the potential the brittle fracture criterion of the material and the possibility of closing the fracture crack have been established.
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