NUCLEATION OF CRACKS IN ISOTROPIC MEDIUM WITH PERIODIC SYSTEM OF THE CIRCULAR HOLES FILLED WITH RIGID INCLUSIONS, AT LONGITUDINAL SHEAR

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.

isotropic medium, periodic system of circular holes, rigid inclusions, longitudinal shear, prefracture zones, crack nucleation