Disorientation measure of neighboring crystallites slip systems in a polycrystalline aggregate

The paper consider the problem of describing hardening of slip dislocations through the boundaries of the crystallites in a polycrystalline aggregate. The possible physical mechanisms of interaction between dislocations and crystalline boundaries is accepted. Not individual dislocations, but slip in the neighboring crystallites (continuum approach), which results in the dislocation glide for some slip system are studied. The problem appeared to describe the hardening of slip dislocations through the boundaries of crystallites - the definition of the slip system in neighboring crystals, which will continue to slip is treated. In the general case such slip system in neighboring crystals, can't be arbitrary, as a result of slip in the slip system neighboring crystallites, the boundary will be formed voids (overlay) and the torsion of the boundary, there is incompatibility of "surface deformations". Proposed criteria for the slip system, based on minimizing the rate of increment of internal energy of the neighboring (incompatibility of "surface deformations") crystallites at the moment of deformation.