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Solution of bifurcation problem for cylindrical shell under complex loading

The paper considers the bifurcation problem of a circular thin-walled cylindrical shell in view of complex strain at the moment of loss of stability under proportional subcritical loading by axial compressing force, torque and internal stress in the deviatoric A.A. Ilyushin's strain space. A relation between stresses and strains is taken in accordance with determining relationships of the hypothesis of coplanarity. For determinative functions of plasticity few variants of approximation, which were offered by V.G. Zubchaninov, are used.