MODELING ELASTO-PLASTIC BEHAVIOR OF SPACE-REINFORCED FLEXIBLE CURVED PANELS TAKING INTO ACCOUNT POSSIBLE WEAKENED RESISTANCE TO TRANSVERSE SHEARS

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.

A mathematical model of elastic-plastic behavior of flexible curved panels with spatial reinforcement structures is  developed. The inelastic deformation of the composition components is described by the theory of plastic flow with isotropic hardening. The possible weakened resistance of composite panels to transverse shears is taken into account in the framework of the non-classical Reddy theory, and the geometric nonlinearity is considered in the  Karman approximation. The solution of the formulated initial-boundary value problem is obtained by an explicit numerical “cross” scheme. The bending inelastic behavior of “flat”- and spatially-reinforced cylindrical panels under the action of dynamic loads of explosive type is investigated. The glass-plastic and metal-composite structures are considered. It is shown that for relatively thick glass-plastic panels (and in some cases for relatively thin ones), the replacement of the flat-cross structure of the reinforcement with the spatial structure leads to a decrease in the deflection of the composite structure by several tens of percent. In cases of metal-composite panels, such replacement of reinforcement structures practically does not lead to a decrease in their flexibility in the transverse direction.

curved panels, spatial reinforcement, Reddy theory, geometric nonlinearity, elastic-plastic deformation, explosive load, “cross” scheme

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