Modelling of plates made from bimodular material taking into account elastic-plastic deformations

D. A. Gubaidullin; Губайдуллин Д. А.; A. V. Krysko; Крысько А. B.; А. D. Tebyakin; Тебякин А. Д.; T. V. Yakovleva; Яковлева Т. В.; V. A. Krysko; Крысько B. А.

doi:10.31857/S2686740024050073

Modelling of plates made from bimodular material taking into account elastic-plastic deformations

Autores: Gubaidullin D.A.¹, Krysko A.V.², Tebyakin А.D.³, Yakovleva T.V.³, Krysko V.A.³
Afiliações:
1. Саратовский государственный технический университет имени Ю.А. Гагарина
2. Institute of Mechanics and Engineering, FRC “Kazan Scientific Center, Russian Academy of Sciences”
3. Yuri Gagarin State Technical University of Saratov
Edição: Volume 518, Nº 1 (2024)
Páginas: 43-50
Seção: МЕХАНИКА
URL: https://cardiosomatics.ru/2686-7400/article/view/677505
DOI: https://doi.org/10.31857/S2686740024050073
EDN: https://elibrary.ru/HXJWMW
ID: 677505

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Resumo

A mathematical model of the stress-strain state of plates made of bimodular material with elastic-plastic deformations according to the deformation theory of plasticity is constructed. The stress-strain state of plates is studied by the variational iterations method or the extended Kantorovich method. The solutions obtained are close to exact. For rectangular plates subjected to a uniformly distributed load, the neutral plane is found to be the interface between the compression and tension zones.

Palavras-chave

bimodular material, variational iteration method, Birger’s variable parameter method, neutral surface, exact solutions

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Sobre autores

D. Gubaidullin

Саратовский государственный технический университет имени Ю.А. Гагарина

Autor responsável pela correspondência
Email: gubaidullin@imm.knc.ru

Corresponding Member of the RAS

Rússia, Саратов

A. Krysko

Institute of Mechanics and Engineering, FRC “Kazan Scientific Center, Russian Academy of Sciences”

Email: kryskoav@sstu.ru
Rússia, Kazan

А. Tebyakin

Yuri Gagarin State Technical University of Saratov

Email: gubaidullin@imm.knc.ru
Rússia, Saratov

T. Yakovleva

Yuri Gagarin State Technical University of Saratov

Email: gubaidullin@imm.knc.ru
Rússia, Saratov

V. Krysko

Yuri Gagarin State Technical University of Saratov

Email: tak@san.ru
Rússia, Saratov

Bibliografia

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Ação

1. JATS XML

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2. Fig. 1. Calculation scheme.

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3. Fig. 2. Dependence q[w(0.5, 0.5)] for a plate, obtained by the MWI and MBG methods in various approximations.

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4. Fig. 3. Dependence for gray iron for approximation of models 1 and 2.

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5. Fig. 4. Dependence q[w(0.5, 0.5)] for a plate made of monomodular and bimodular materials and the displacement of the neutral surface.

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6. Fig. 5. Distribution of ei in a plate of single-module material at q = 120 for approximating models 1 and 2.

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7. Fig. 6. Distribution of ei in a plate made of bimodular material at q = 120 for approximating models 1 and 2.

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8. Fig. 7. Distribution of ei in the plate at q = 120 taking into account bimodularity and neutral surface displacement for approximating models 1 and 2.