 | | 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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| A.P. Yankovsky, "Structural Model of Spatially and Plane Reinforced Medium from Rigid-Plastic Anisotropic Materials with Different Yield Limits under Tension and Compression," Mech. Solids. 59 (1), 183-201 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
1 |
Pages |
183-201 |
| DOI |
10.1134/S0025654424700262 |
| Title |
Structural Model of Spatially and Plane Reinforced Medium from Rigid-Plastic Anisotropic Materials with Different Yield Limits under Tension and Compression |
| Author(s) |
A.P. Yankovsky (Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, 630090 Russia, lab4nemir@rambler.ru) |
| Abstract |
Structural models for three-dimensional fiber-reinforced hybrid composite media and for
particular two-dimensional problems have been developed. Using these models, one can calculate the
surfaces and yield curves of the composition. The three-dimensional stress state in all components is
taken into account. The materials of the composition components are homogeneous and anisotropic,
their mechanical behavior is described by the associated flow law for a rigid-plastic body with general
quadratic yield conditions. Components have different resistance to tension and compression. To perform constructions, stresses in components are presented in parametric form. The yield curves are calculated for a model in-plane reinforced composition of orthotropic phase materials. The influence of
the direction of reinforcement, transverse normal stress and anisotropy parameters of the composition
components on the shape and dimensions of the yield curves of the composite material under consideration has been studied. It has been shown that the anisotropy of the binder has a greater effect on the
shape and dimensions of the yield surface of the composition than the anisotropy of the reinforcing
fibers. It has been demonstrated that plastic flow in a reinforced medium is associated with the calculated yield curves (surfaces) of the composition. It is shown that in the presence of strongly pronounced anisotropy in the reinforcement, a structural model with a one-dimensional stress state in the
fibers does not allow adequate calculation of the yield curves and surfaces of the composite medium. |
| Keywords |
structural model of a composite, fibrous medium, three-dimensional stress state, spatial reinforcement, plane reinforcement, multi-directional reinforcement, hybrid composite, rigid plastic material, anisotropy of composition components, different resistance to tension and compression, quadratic yield criterion |
| Received |
21 March 2023 | Revised |
20 May 2023 | Accepted |
23 May 2023 |
| Link to Fulltext |
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