 | | 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: | | 13554 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8194
|
| In English (Mech. Solids): | | 5360 |
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| Duy Hien Ta, Xuan Tung Nguyen, Trong Hiep Nguyen, and Ngoc Tien Dao, "The Effect of Random Field of Elastic Foundation on the Static Behavior of Functionally Graded Plates Using Isogeometric Analysis," Mech. Solids. 60 (7), 5721-5736 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
7 |
Pages |
5721-5736 |
| DOI |
10.1134/S0025654425603210 |
| Title |
The Effect of Random Field of Elastic Foundation on the Static Behavior of Functionally Graded Plates Using Isogeometric Analysis |
| Author(s) |
Duy Hien Ta (Faculty of Civil Engineering, University of Transport and Communications, Hanoi, Vietnam)
Xuan Tung Nguyen (Faculty of Civil Engineering, University of Transport and Communications, Hanoi, Vietnam)
Trong Hiep Nguyen (Faculty of Civil Engineering, University of Transport and Communications, Hanoi, Vietnam)
Ngoc Tien Dao (Faculty of Civil Engineering, Hanoi Architectural University, Hanoi, Vietnam, tiendn@hau.edu.vn) |
| Abstract |
Usually, fluctuations in the foundations are quite large and influence the response of the
structures resting on the foundation. The Gaussian random field is used to describe the uncertainty of
the elastic foundation while isogeometric analysis as well as the theory of shear deformation are used
to construct the equations governing the behavior of functionally graded material (FGM) plates. The
isogeometric analysis for the FGM plates in the uncertain elastic foundation is proposed by applying
a perturbation approach based on standard isogeometric analysis. Monte Carlo simulation (MCS)
which consists of a spectral representation method is used to evaluate the validation of the results in
the paper. From the collected numerical data represented in the numerical examples, it is suggested a
reliable accuracy when comparing the results from the MCS and the present approach. The effects of
an uncertain elastic foundation on variability in the bending response are drawn on FGM plates via
numerical examples. |
| Keywords |
uncertain elastic foundation, FGM plates, isogeometric analysis, random field, point method |
| Received |
17 June 2025 | Revised |
11 October 2025 | Accepted |
14 October 2025 |
| Link to Fulltext |
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