Determination for the time-to-fracture of solids
A method to determine the time to fracture taking into account the physical mechanisms of microcracks and crack formation is developed on the basis of the fractal model of fracture. The fractal dimension of a crack at different stages of its growth is determined theoretically. The damage evolution law which allows for the kinetic and microstructural properties of a material is obtained on the basis of the kinetic theory of strength. Conditions at which the microcracks accumulation gives way to the propagation of a large crack are determined with the use of the percolation theory. It is shown that the fractal dimension of the initial part of a crack is much more than the fractal dimension of the rest of the crack.
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