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- Article name
- Simulation of thermoelastic-plastic dynamic deformation of reinforced shallow shells
- Authors
- YANKOVSKII A. P., , lab4nemir@rambler.ru; yankovsky_ap@rambler.ru, Khristianovich Institute of Theoretical and Applied Mechanics the SB RAS, Novosibirsk, Russia
- Keywords
- shallow shells / fiber reinforcement / thermoelastic-plasticity / dynamic deformation / geometric nonlinearity / Ambartsumyan's bending theory / explicit numerical scheme
- Year
- 2022 Issue 4 Pages 11 - 20
- Code EDN
- AVMNZB
- Code DOI
- 10.52190/2073-2562_2022_4_11
- Abstract
- The initial-boundary problem of thermoelastic-plastic deformation of reinforced flexible shallow shells under dynamic loading is formulated. The weak resistance of such thin-walled structures to transverse shear is modeled by Ambartsumyan's non-classical theory of bending. The geometric nonlinearity of the problem is taken into account in the Karman approximation. The temperature of shallow shells in thickness is approximated by a 7th order polynomial. The solution of the formulated coupled nonlinear two-dimensional problem is constructed using an explicit scheme of time steps. The non-isothermal deformation of orthogonally reinforced fiberglass and metal-composite elongated cylindrical panels, which are frontally loaded with an air blast wave, has been studied. It is shown that, in contrast to flexible reinforced plates, composite shallow shells under explosive dynamic loading must be calculated taking into account the thermal response in them. Cylindrical curved panels deform more intensively when they are loaded from the convex front surface.
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