Vestnik of Samara University. Natural Science SeriesVestnik of Samara University. Natural Science Series2541-75252712-8954Samara National Research University453610.18287/2541-7525-2014-20-7-85-95QUASISTATIC STATIONARY GROWTH OF ELASTOPLASTICAL CRACKNifaginV.A.morenov.sv@ssau.ruGundinaM.A.morenov.sv@ssau.ruBelarusian State UniversityBelarusian National Technical University3011201420785953005201730052017Copyright © 2014, Nifagin V., Gundina M.2014The boundary value problem with relations to the theory of flow with non- linear 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 asymp- totic decompositions. The redistribution of stress and strain fields in the plastic region at quasi-static growing crack for the intermediate structure is investigat- ed. 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 con- vergence when dropping residues of series.докритический рост трещиныупругопластический мате- риалНДСметод асимптотических разложенийтеория теченияплоская деформацияпластическая зонаобласть разгрузки