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- Article name
- Modeling of elastic-viscoplastic dynamic behavior of flexible reinforced shallow shells
- Authors
- YANKOVSKII A. P., , lab4nemir@rambler.ru ; yankovsky_ap@rambler.ru, Khristianovich Institute of Theoretical and Applied Mechanics of Siberian Branch of RAS, Novosibirsk, Russia
- Keywords
- flexible shallow shells / flat-crisscrossed reinforcement / spatial reinforcement / elastic-viscoplastic deformation / sensitivity to deformation rate / Ambardzumyan theory / explosive loads / numerical cross-scheme
- Year
- 2020 Issue 4 Pages 3 - 10
- Code EDN
- Code DOI
- Abstract
- The problem of elastic-viscoplastic dynamic deformation of flexible shallow shells with spatial reinforcement structures was formulated. The inelastic behavior of materials of the components of composition is described by the equations of plastic flow taking into account their sensitivity to the strain rate. The weak resistance of such structures to transverse shears was taken into account in the framework of the Ambardzumyan theory, and the geometric nonlinearity of the problem is taken into account in the Karman approximation. To integrate the formulated initial-boundary problem, an explicit cross-type numerical scheme is used. The elastic-viscoplastic and elastoplastic dynamic behavior of cylindrical reinforced panels under the action of a load caused by an air blast wave was investigated. It was shown that the neglect of the sensitivity of materials of the components of composition to the rate of their deformation leads to completely unacceptable results for both fiberglass and metal-composite panels. It has been demonstrated that even for relatively thin fiberglass shallow shells, replacing the traditional flat-crisscrossed-reinforcement structure with a spatial structure leads to a significant decrease in the maximum modulus of deflection.
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