Vestnik of Samara University. Natural Science SeriesVestnik of Samara University. Natural Science Series2541-75252712-8954Samara National Research University466610.18287/2541-7525-2013-19-6-85-99NUMERICAL METHOD OF CONSTRUCTION OF EIGEN VALUE SPECTRUM OF A NON LINEAR PROBLEM ARISING FROM ONE PROBLEM OF MIXED DEFORMATION OF PLATE WITH CRACKAdylinaE.M.morenov.sv@ssau.ruSamara State University0206201319685990206201702062017Copyright © 2013, Adylina E.2013In the work a method of numerical finding of eigen values of class of non linear problems on eigen values arising from the problem of defining stress-edly-deformed state near the apex of crack in the materials with exponential determining equations in conditions of compound deforming in full range of mixed forms of deformation from normal fracture up to simple shear is suggested. With the help of suggested approach new eigen values of the problem, different from the known eigen value, that corresponds to the classical solution of Hutchison-Rice-Rosengren are obtained.stressedly-deformed state near the apex of crack, exponential defining law, mixed deformation, decomposition technique on eigen functions, non linear eigen value problemнапряженно-деформированное состояние у вершины трещины, степенной определяющий закон, смешанное деформирование, метод разложения по собственным функциям, нелинейная задача на собственные значения