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

Авторлар: Gubaidullin D.A.¹, Krysko A.V.², Tebyakin А.D.³, Yakovleva T.V.³, Krysko V.A.³
Мекемелер:
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
Шығарылым: Том 518, № 1 (2024)
Беттер: 43-50
Бөлім: МЕХАНИКА
URL: https://ruspoj.com/2686-7400/article/view/677505
DOI: https://doi.org/10.31857/S2686740024050073
EDN: https://elibrary.ru/HXJWMW
ID: 677505

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Аннотация
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Статистика

Аннотация

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.

Негізгі сөздер

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

Толық мәтін

Авторлар туралы

D. Gubaidullin

Саратовский государственный технический университет имени Ю.А. Гагарина

Хат алмасуға жауапты Автор.
Email: gubaidullin@imm.knc.ru

Corresponding Member of the RAS

Ресей, Саратов

A. Krysko

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

Email: kryskoav@sstu.ru
Ресей, Kazan

А. Tebyakin

Yuri Gagarin State Technical University of Saratov

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

T. Yakovleva

Yuri Gagarin State Technical University of Saratov

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

V. Krysko

Yuri Gagarin State Technical University of Saratov

Email: tak@san.ru
Ресей, Saratov

Әдебиет тізімі

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Әрекет

1. JATS XML

Жүктеу

2. Fig. 1. Calculation scheme.

Жүктеу (93KB)

Метадеректер

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

Жүктеу (106KB)

Метадеректер

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

Жүктеу (120KB)

Метадеректер

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.

Жүктеу (148KB)

Метадеректер

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

Жүктеу (265KB)

Метадеректер

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

Жүктеу (228KB)

Метадеректер

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.