MODELING OF AXISYMMETRIC ELASTOPLASTIC DEFORMATION OF CYLINDRICAL FIBROUS SHELLS

YANKOVSKII Andrei P., D. Sc. in Phys. and Math., Leading Researcher of the Laboratory of Fast Processes Physics, Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Science, Novosibirsk, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

The problem of elastoplastic axisymmetric deformation is formulated for flexible reinforced circular cylindrical shells under dynamic and quasi-static action of internal excessive pressure. The weakened resistance to transverse shear is modeled by the nonclassical Reddy and Reissner theories. The geometric nonlinearity is taken into account in the Karman approximation. The inelastic behavior of phase materials of composition is described by relations of flow theory with isotropic hardening. The explicit finite-difference “cross” scheme is used for the numerical integration of the problem. The dynamic and quasi-static elastoplastic deformation is studied for short, very short and long cylindrical fibrous shells of different relative thickness. The dependences of the maximum deflections on the angles of spiral reinforcement are obtained for such structures. It is shown that depending on the length of the shell and its relative thickness, longitudinal or circumferential reinforcement can be rational by the criterion of the minimum of deflection of the structure. It is demonstrated that the Reissner theory, which does not take into account the curvature of the shell transverse normal, does not always guarantee the satisfactory results of calculations of the dynamic behavior of cylindrical composite shells, especially at the calculated time values of one second or more. It is found that due to the geometric nonlinearity of the problem under consideration, the maximum deflections modulo may occur after a large number of oscillations of the reinforced structure, rather than in the vicinity of the initial moment of time when the shell is subjected to intense short-term dynamic loading.

cylindrical shell, reinforcement, geometric nonlinearity, Reddy theory, elastic-plastic deformation, Reissner theory, explosive loads, numerical “cross” scheme

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