 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| T.P. Romanova, "Modeling the Dynamic Bending of Rigid-Plastic Hybrid Composite Curvilinear Plates with a Rigid Inclusion," Mech. Solids. 54 (5), 756-772 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
5 |
Pages |
756-772 |
| DOI |
10.3103/S0025654419050145 |
| Title |
Modeling the Dynamic Bending of Rigid-Plastic Hybrid Composite Curvilinear Plates with a Rigid Inclusion |
| Author(s) |
T.P. Romanova (Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, 630090 Novosibirsk, Russia, lab4nemir@gmail.com) |
| Abstract |
A general method has been developed for calculating the dynamic behavior of rigid-plastic
composite layered fibrous plates with a rigid inclusion and with the hinged or clamped arbitrary
smooth non-concave curvilinear contour subject to a uniformly distributed short dynamic explosive
loading of high-intensity. The distribution of layers is symmetric with respect to the middle surface,
and in each layer there is a family of reinforcement curvilinear fibers in the directions parallel and normal to the plate contour. The structural model of the reinforcement layer with a one-dimensional
stress state in the fibers is used. Depending on the loading amplitude, different types of plate deformation are possible. Based on the principle of virtual power in combination with the d’Alembert principle, the equations of dynamic deformation are derived and their implementation conditions analyzed.
The analytical expressions for assessing the limiting loads, deformation time, and residual deflections
of the plates are obtained. It is shown that the variation in the reinforcement parameters significantly
affects both the loading capacity of such plates and the residual deflections. Examples of numerical
solutions are provided. |
| Received |
11 July 2017 | Revised |
05 December 2017 | Accepted |
10 January 2018 |
| Link to Fulltext |
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