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- Article name
- Modeling of non-isothermal viscoelastoplastic deformation of reinforced cylindrical shells under dynamic loading
- Authors
- YANKOVSKII A. P., , yankovsky_ap@rambler.ru, Khristianovich Institute of theoretical and applied mechanics the Siberian Branch of the Russian Academy of Science, Novosibirsk, Russia
- Keywords
- cylindrical shells / multidirectional reinforcement / Ambartsumyan theory / geometric nonlinearity / dynamic loading / coupled thermoviscoelastoplasticity / explicit numerical scheme
- Year
- 2026 Issue 1 Pages 3 - 14
- Code EDN
- NYNSUU
- Code DOI
- 10.52190/2073-2562_2026_1_3
- Abstract
- The problem of dynamic non-isothermal viscoelastoplastic deformation of flexible circular cylindrical shells reinforced with multidirectional fibers is formulated. The bending behavior of shells is described by the equations of the non-classical Ambartsumyan theory. The formulated coupled, essentially nonlinear thermomechanical initial-boundary value problem is numerically integrated using an explicit time-stepping scheme. It has been demonstrated that, in general, the calculation of the dynamics of such reinforced structures must be carried out taking into account the thermal response that occurs in them during the oscillation process. Axisymmetric dynamic deformation of closed circular cylindrical shells made of fiberglass can be determined without taking this response into account, since the shells are heated insignificantly (by no more than 5-6 °С). It has been shown that even in relatively thin fiberglass shells, replacing the traditional reinforcement structure along equidistant surfaces with a spatial structure leads to a noticeable reduction in the residual deformed state of the epoxy binder.
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