 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 56, Issue 5 / 2021 | Next article >> |
| Yankovskii A.P., "Modeling of Viscoelastic-Viscoplastic Behavior of Flexible Reinforced Plates," Mech. Solids. 56 (5), 631-645 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
5 |
Pages |
631-645 |
| DOI |
10.3103/S0025654421050198 |
| Title |
Modeling of Viscoelastic-Viscoplastic Behavior of Flexible Reinforced Plates |
| Author(s) |
Yankovskii A.P. (Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, 630090 Russia, lab4nemir@rambler.ru) |
| Abstract |
A model of viscoelastic-viscoplastic deformation of reinforced plates has been developed. The viscoplastic behavior of the composition components is described by the equations of the theory of flow with isotropic hardening, taking into account the dependence of the loading function on the intensity of the strain rates. The viscoelastic deformation of these materials is determined by the equations of the Maxwell-Boltzmann body model. The geometric nonlinearity of the problem is taken into account in the Karman approximation. The possible weak resistance of the reinforced plates to transverse shears is taken into account in the framework of Ambartsumyan's theory. The numerical solution of the formulated initial-boundary value problem is obtained using an explicit "cross" scheme. The inelastic dynamic behavior of flexible fiberglass plates with plane-cross and spatial reinforcement structures has been investigated. Structures are loaded in the transverse direction with excess pressure corresponding to an air blast wave. It is shown that even for relatively thin composite plates, neglect of the sensitivity of the composition components to the rate of their deformation leads to a significant overestimation of the residual deflection and the intensity of residual deformations of these materials. It has been demonstrated that even for relatively thin fiberglass structures, replacing the traditional plane-cross reinforcement structure with a spatial structure can significantly reduce the intensity of residual deformations of the composition components (especially the binder matrix). With an increase in the relative thickness of the plates, the positive effect of such a replacement of the reinforcement structures sharply increases. It was found that a thin rectangular elongated fiberglass plate after inelastic dynamic deformation can acquire a corrugated residual shape with folds oriented in the longitudinal direction. |
| Keywords |
viscoelastic-viscoplastic deformation, flexible plate, reinforcement, Ambartsumyan's theory, dynamic loading, explicit numerical scheme |
| Received |
28 February 2020 | Revised |
05 August 2020 | Accepted |
17 September 2020 |
| Link to Fulltext |
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