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Stochastic static analysis of functionally graded sandwich nanoplates based on a novel stochastic meshfree computational framework
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Delei Yang,
Xuebing Zhang,
Ping Xiang
Advances in Engineering Software, Volume: 198
Swansea University Author:
Adesola Ademiloye
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PDF | Accepted Manuscript
© 2024 The Author(s). Author accepted manuscript document released under the terms of a Creative Commons CC-BY licence using the Swansea University Research Publications Policy (rights retention).
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DOI (Published version): 10.1016/j.advengsoft.2024.103780
Abstract
In this study, the spatial variability of materials is incorporated into the static analysis of functionally graded sandwich nanoplates to achieve higher accuracy. Utilising a modified point estimation method and the radial point interpolation method, we develop a novel stochastic meshfree computati...
| Published in: | Advances in Engineering Software |
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| ISSN: | 0965-9978 1873-5339 |
| Published: |
Elsevier
2024
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa67875 |
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| Abstract: |
In this study, the spatial variability of materials is incorporated into the static analysis of functionally graded sandwich nanoplates to achieve higher accuracy. Utilising a modified point estimation method and the radial point interpolation method, we develop a novel stochastic meshfree computational framework to deal with the material uncertainty. Higher-order shear deformation theory is employed to establish the displacement field of the plates. The elastic modulus of ceramic and metal (Ec and Em) are treated as separate random fields and discretized through the Karhunen-Loève expansion (KLE) method. To improve the performance of procedure, the Wavelet-Galerkin method is introduced to solve the second type of Fredholm integral equation. Subsequently, substituting the random variables obtained by KLE into the stochastic computational framework, a high accuracy stochastic response of structures can be acquired. By comparing computed findings with those of Monte Carlo simulation, the accuracy and efficiency of developed framework are verified. Moreover, the results indicate that the plate's deflection exhibits varying sensitivities to the random fields Ec and Em. Also, the sandwich configuration as well as power-law exponents affect the stochastic response of structures. These findings offer valuable insights for the optimized design of functionally graded sandwich nanoplates. |
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| Keywords: |
Functionally graded sandwich nanoplate, radial point interpolation method, random field, Karhunen-Loève expansion method, modified point estimation method |
| College: |
Faculty of Science and Engineering |
| Funders: |
This work was funded by the Key R&D Projects of Hunan Province (No.2024AQ2018), the open fund of Shanghai High Performance Fibers and Composites Center and Center for Civil Aviation Composites,
Donghua University, 2024, the 2023 Hunan Province Transportation Science and Technology Progress and Innovation Project (202305), the Henan Province Science and Technology Key Research Project
(242102521034), the Hunan Provincial Natural Science Foundation Project (No. 2024JJ9067), Key Scientific Research Project of Hunan Provincial Department of Education, Project (21A0073), Taishan Program (tsqn202306278). |