The construction of a model of the growth of a defect for finite strains: Non-local criteria

A version of a model of the growth of a defect (an inclusion or cracks of non-zero opening) is presented. When constructing the model, the axiomatic of the mechanics of a deformable solid is used, as well as the idea of a zone of pre-existing imperfection as part of the body, in which, due to the action of external loads, applied to the body, a change in the properties of the material occurs. The apparatus of the theory of multiple superposition of large deformations and certain strength criteria are used.