Abstract
The model of nucleation of cracks in composites with the periodic structure, based on consideration of a zone of process fracturing is offered. It is necessary, that the zone of process fracturing represents a layer of the finite length containing a material with in part broken bonds between separate structural elements. Presence of bonds between faces of prefracture zones (a zone of the weakened interparticle bonds of a material) is modelled by applying to a surface of prefracture zones of caused by of bonds cohesive forces. The analysis of limiting balance of a prefracture zones at longitudinal shear is carried out on the basis of criterion of limiting shear of bonds of a material and includes: 1) an establishment of dependence of cohe- sive forces from shear of faces of a prefracture zones; 2) an estimation of an intense condition near to a prefracture zones in view of external loadings and cohesive forces and also an ar- rangement of rigid inclusions; 3) definition of the dependence of critical external loadings from geometrical parameters of the compound environment at which there is a crack.