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Investigation of the unsteady creep of reinforced plates of nonlinearly inherited materials, taking into account the weakened resistance by transverse shear

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Abstract

The problem of inelastic bending deformation of plates is formulated using the idea of the method of time steps in rectangular Cartesian and cylindrical coordinate frames based on two versions of the Tymoshenko theory and taking into account plates weakened resistance to transverse shears during plane-cross reinforcement and. The mechanical behavior of the materials of the components of the composition is described by the nonlinear-hereditary Rabotnov’s creep theory. The bending behavior under creep conditions of ring plates made of D16T aluminum alloy and axisymmetrically reinforced along boron and spiral-circular trajectories by boron fibers is studied. It is shown that under short-term loading the classical theory is quite acceptable for calculating the mechanical behavior of such composite structures. Under prolonged loading in the creep process, transverse shear deformations actively and rapidly develop in the binder material of the plate. Therefore, taking into account the weakened resistance to transverse shear after calculating the creep of thin-walled reinforced structural elements is needed. The compliance of the reinforced plates under long-term loading predicted by the classical theory and the first version of the Tymoshenko’s theory is significantly less than that determined by the second version of the Tymoshenko’s theory. Therefore it is recommended to use the second version of the Tymoshenko’s theory for adequate calculations of the creep of the reinforced plates.

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  1. Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, ul. Institutskaya 4/1, Novosibirsk, 630090, Russia

    A. P. Yankovskii

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Correspondence to A. P. Yankovskii.

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Russian Text © Author(s), 2019, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2019, No. 2, pp. 3–28.

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Yankovskii, A.P. Investigation of the unsteady creep of reinforced plates of nonlinearly inherited materials, taking into account the weakened resistance by transverse shear. Mech. Solids 54, 365–383 (2019). https://doi.org/10.3103/S0025654419020018

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  • DOI: https://doi.org/10.3103/S0025654419020018

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