 | | 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: | | 13217 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8152
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| In English (Mech. Solids): | | 5065 |
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| Shashank Pandey, "Effect of Cutout and Initial Geometrical Imperfection on Nonlinear Transient Response of Functionally Graded Material Folded Plate," Mech. Solids. 60 (2), 1143-1156 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
2 |
Pages |
1143-1156 |
| DOI |
10.1134/S0025654424605974 |
| Title |
Effect of Cutout and Initial Geometrical Imperfection on Nonlinear Transient Response of Functionally Graded Material Folded Plate |
| Author(s) |
Shashank Pandey (Department of Mechanical Engineering, National Institute of Technology Jamshedpur, Jamshedpur, 831014 India, shashankpandey200@gmail.com) |
| Abstract |
This work presents the nonlinear transient response of imperfect functionally graded material (FGM) folded plates having square and circular cutouts. The top and the bottom layers of the
imperfect FGM folded plate is made of pure ceramic and pure metal, respectively and the effective
elastic property at any point along the thickness is estimated according to the rule of mixture. Firstorder shear deformation theory in conjunction with eight-noded isoparametric element and five
degrees of freedom per node along with von Karman type nonlinearity is used in the development of
the finite element method (FEM) based formulation. A global type imperfection (G1) is modelled using an imperfection function. The governing differential equation is obtained using total Lagrangian
formulation. Further, the Newmark average acceleration method in conjunction with modified Newton–Raphson is used to obtain the nonlinear transient response of the functionally graded material
folded plate. The results obtained from the present finite element formulation are first compared for a
wide range of parameters to establish the correctness of the present finite element formulation.
The parametric study is carried out to investigate the effect of cutout size, cutout shape, amplitude of
geometric imperfection, crank angle and boundary condition on the nonlinear transient response of
an imperfect functionally graded material folded plate having cutout. |
| Keywords |
FGM folded plate, nonlinear transient response, finite element method, cutout, Initial geometrical imperfection |
| Received |
26 October 2024 | Revised |
10 March 2025 | Accepted |
11 March 2025 |
| Link to Fulltext |
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