Nonlinear deformations of size-dependent porous functionally graded plates in a temperature field Научная публикация
| Журнал |
International Journal of Solids and Structures
ISSN: 0020-7683 |
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| Вых. Данные | Год: 2024, Том: 293, Номер статьи : 112759, Страниц : 21 DOI: 10.1016/j.ijsolstr.2024.112759 | ||||
| Ключевые слова | Porous size-dependent plates; Stress–strain state; Bending deflection; Variational iteration method; Extended kantorovich method; Modified couple stress theory; Functionally graded structures; Geometrical nonlinearity; Type of porosity patterns | ||||
| Авторы |
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| Организации |
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Реферат:
In this paper, the Variational Iteration Method (VIM) or Extended Kantorovich Method (EKM) is formulated for
the first time for flexible porous functionally graded (PFGM) plates with different boundary conditions and
geometric nonlinearity according to the theory of Theodore von Karman. Its accuracy and efficiency are
demonstrated. The plate is subjected to a uniform transversal load and temperature field. The displacement field
of the plate is approximated based on the classical plate theory (CTP) or Kirchhoff’s plate theory. The governing
equations are derived using Hamilton’s principle. Modified Coupled Stress Theory (MCST) is used to account for
size-dependent effects. The material properties vary with thickness and are temperature dependent. Four
porosity distribution patterns are considered in this study. Several examples are solved to demonstrate the
proposed algorithm. The results obtained are compared with solutions obtained by the Bubnov-Galerkin Method
(BGM) in higher approximations, the Finite Difference Method (FDM) of second order accuracy, as well as with
results obtained by the Finite Element Method (FEM) of other authors. The results include an analysis of the
effect of size dependent parameters, porosity type pattern, porosity index, functionally graded index, temperature field and different types of boundary conditions on the stress–strain state and bending deflection of plates.
Библиографическая ссылка:
Krysko A.V.
, Gubaidullin D.A.
, Kalutsky L.A.
, Krysko V.A.
Nonlinear deformations of size-dependent porous functionally graded plates in a temperature field
International Journal of Solids and Structures. 2024. V.293. 112759 :1-21. DOI: 10.1016/j.ijsolstr.2024.112759 WOS Scopus РИНЦ OpenAlex
Nonlinear deformations of size-dependent porous functionally graded plates in a temperature field
International Journal of Solids and Structures. 2024. V.293. 112759 :1-21. DOI: 10.1016/j.ijsolstr.2024.112759 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 14 нояб. 2023 г. |
| Принята к публикации: | 6 мар. 2024 г. |
| Опубликована online: | 12 мар. 2024 г. |
Идентификаторы БД:
| Web of science: | WOS:001209842400001 |
| Scopus: | 2-s2.0-85188519064 |
| РИНЦ: | 66493707 |
| OpenAlex: | W4392721535 |