Quasistatic stationary growth of elastoplastical crack

The boundary value problem with relations to the theory of flow with nonlinear hardening in derivatives stress and strain tensors in the parameter loading is formulated to estimate local mechanical properties in the vicinity of crack tip of mode of loading for plane strain of elastic-plastic material at the stage of quasi-static growth. Complete solutions are obtained by the method of asymptotic decompositions. The redistribution of stress and strain fields in the plastic region at quasi-static growing crack for the intermediate structure is investigated. The form of plastic zones was found in the evolution of fracture process of material. We also obtained direct estimates of errors and diameters of convergence when dropping residues of series.