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- Article name
- Modeling the inelastic dynamic behavior of cylindrical reinforced shells taking into account the dependence of plastic properties on the strain rate
- Authors
- YANKOVSKII A. P., , lab4nemir@rambler.ru; yankovsky_ap@rambler.ru, Khristianovich Institute of Theoretical and Applied Mechanics the SB RAS, Novosibirsk, Russia
- Keywords
- closed cylindrical shells / spatial reinforcement / inelastic deformation / sensitivity to strain rate / Ambartsumyan's theory / dynamic loads / numerical "cross"-scheme
- Year
- 2022 Issue 1 Pages 19 - 28
- Code EDN
- Code DOI
- 10.52190/2073-2562_2022_1_19
- Abstract
- The problem of inelastic dynamic behavior of flexible reinforced cylindrical shells is formulated. The mechanical behavior of the components of the composition is described by the equations of the theory of plastic flow, taking into account the sensitivity of plastic properties to the rate of deformation (elastic-visco-plasticity). The geometric nonlinearity of the problem is taken into account in the Karman approximation. Possible weak resistance of reinforced shells to transverse shears is modeled in the framework of Ambartsumyan's non-classical theory. The numerical solution of the stated initial-boundary value problem is determined according to the explicit "cross"-scheme. The elastic-plastic and elastic-visco-plastic dynamic deformation of fiberglass and metal-composite long closed cylindrical shells of different relative thicknesses is investigated. It has been demonstrated that if we do not take into account the sensitivity of the plastic properties of the materials of the composition to the rate of their deformation (elastic-plasticity), this leads to a significant increase in the calculated values of the intensity of deformations of the components of the composition, as well as to a significant distortion of the deflection function, especially for metal-composite products. It is shown that replacing the traditional structure of reinforcement in the longitudinal and circumferential directions with a spatial 4D structure leads to a positive effect only in the case of relatively thick fiberglass shells. This effect increases with decreasing length of such a construction.
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