I. A. Miklashevich

The Byelorussian state polytechnic academy, Minsk, Byelorussia

   The analyse of stable solution of non-linear second-order differential equation describing the trajectory of a crack propagation in inhomogeneous media is halted. It is shown, that the types of critical points appeared in a system depend on inhomogenity of a medium, as along a trajectory of a growth, so in a direction a perpendicular trajectory. The trajectory of a crack in mediums with selected types of a heterogeneity surveyed. The stability criterions of development, suitable for prediction of behaviour of a material are reduced at fracture.

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