MATHEMATICAL MODELING OF COMPLICATED RHEOLOGICAL PROPERTIES OF MATERIALS UNDER LARGE DEFORMATION

In this work, the problem of hydrostatic compression of a single spherical continuity defect is solved, and all irreversible deformations are attributed to the creep phenomenon. A certain difficulty lies on this path in that in the vicinity of a micro defect, the deformations are always large and, therefore, the entire consideration should be carried out within the framework of the model of unsteady creep at large deformations. The theory of large elastoplastic deformations constructed in [3] and the power law of creep are taken as the basis for constructing this model.