 | | 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: | | 13653 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8223
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| In English (Mech. Solids): | | 5430 |
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| H. Talati and A. Shaterzadeh, "Post-Buckling Response of Functionally Graded Porous Double-Curved Nanoshells under Uniform Lateral Pressure in a Thermal Environment," Mech. Solids. 60 (8), 7033-7055 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
7033-7055 |
| DOI |
10.1134/S0025654425604732 |
| Title |
Post-Buckling Response of Functionally Graded Porous Double-Curved Nanoshells under Uniform Lateral Pressure in a Thermal Environment |
| Author(s) |
H. Talati (Shahrood University of Technology, Shahrood, 3619995161 Iran)
A. Shaterzadeh (Shahrood University of Technology, Shahrood, 3619995161 Iran, a_shaterzadeh@shahroodut.ac.ir) |
| Abstract |
This paper investigates the nonlinear post-buckling behavior of functionally graded porous
double-curved nanoshells (FGP-DC-NS), which rest on elastic foundations and are subjected to uniform lateral pressure in a thermal environment. The temperature-dependent properties of the
nanoshell, are graded across its thickness by employing a modified rule of mixture and power-law
function. The formulation of the double-curved nanoshell employs the nonlocal elasticity theory and
classical shell theory (CST), incorporating von Kármán type kinematic nonlinearity. The nonlinear
system of equilibrium equations for the double-curved nanoshell is derived using the principle of minimum total potential energy. The governing equations are reformulated in their non-dimensional form
to address the case of functionally graded porous double-curved nanoshells with immovable edges.
Closed-form solutions are obtained in this study by adopting the two-step perturbation technique. The
numerical outcomes are centered on Si3N4/SUS304 FGP double-curved nanoshell. Numerical parametric analysis and three types of porosity distribution are carried out to examine the effects of the
small-scale parameter, geometric parameters, material properties, and temperature rise, on the post-buckling behavior of the FGP-DC-NS. These results indicate that the post-buckling behavior of the
FGP-DC-NS remains stable in the face of uniform lateral pressure and thermal environment. |
| Keywords |
Nonlocal continuum elasticity, Post-buckling, Functionally graded porous, Double curved nanoshells, Boundary layer theory, Two-step perturbation method |
| Received |
03 September 2025 | Revised |
30 November 2025 | Accepted |
03 December 2025 |
| Link to Fulltext |
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