 | | 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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| Romanova T.P. and Yankovskii A.P., "Piecewise-Linear Yield Loci of Angle-Ply Reinforced Medium of Different-Resisting Rigid-Plastic Materials at 2D Stress State," Mech. Solids. 55 (8), 1235-1252 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
8 |
Pages |
1235-1252 |
| DOI |
10.3103/S0025654420080221 |
| Title |
Piecewise-Linear Yield Loci of Angle-Ply Reinforced Medium of Different-Resisting Rigid-Plastic Materials at 2D Stress State |
| Author(s) |
Romanova T.P. (Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia, lab4nemir@gmail.com)
Yankovskii A.P. (Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia, lab4nemir@rambler.ru) |
| Abstract |
The structural model of hybrid composites angle-ply that were reinforced parallel to some
plane is constructed for the analytical determination of the composition’s yield loci while considering
the plane stress state in all components. The materials of the components are homogeneous and isotropic, as well as have different yield strengths in tension and compression. Their mechanical behavior
is described by the associated flow law for a rigid-plastic body with the piecewise-linear yield conditions of Johansen, Tresca, Hu, and Ishlinsky–Ivlev. The cases of fiber placement along the trajectories
of the principal stresses in the composition and the cases of angle-ply reinforcement symmetric with
respect to these trajectories are considered. The influence of the reinforcement structure (of directions
and densities) on the size and shape of the yield loci of compositions is investigated. It is shown by
numerical computations that the plastic flow in the compositions is associated with the calculated
yield loci of reinforced media. As an example, yield loci for metal compositions with high-strength and
low-strength binder and for fiberglass reinforced media are constructed. The calculated yield loci of
the compositions are compared with the ones determined using different variants of the structural
model with one-dimensional stress state in fibers. |
| Keywords |
hybrid composite, structural model, flat angle-ply reinforcement, rigid-plastic material, unequiresistant material, 2D stress state, Johansen-type yield criterion, Tresca yield criterion, Hu yield criterion, Ishlinsky–Ivlev criterion |
| Received |
26 January 2020 | Revised |
14 April 2020 | Accepted |
27 July 2020 |
| Link to Fulltext |
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