Develops an algorithm taking into account damage to the deformable body, based on the use of general models of media with conserved dislocations. Accounting Procedure of damage is based on the asymptotic approach and, in general, take into account the local scale effects inherent in the development of the material damage (damage localization in the vicinity of stress concentrators, the crack tip, the various phases of the contact boundaries). A variant of the method of reduced load, allowing as part of an iterative procedure to evaluate the impact of the dislocation of damage on the mechanical characteristics of the material.