 | | 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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| P.P. Bhad, V.R. Manthena, A.M. Shende, N.K. Lamba, G.D. Kedar, and Ibrahim Abbas, "Thermal Performance of a Functionally Graded Elliptical Annulus Plate within a Fractional Context: an Analytical and Numerical Approach," Mech. Solids. 60 (3), 1776-1798 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
3 |
Pages |
1776-1798 |
| DOI |
10.1134/S0025654425600497 |
| Title |
Thermal Performance of a Functionally Graded Elliptical Annulus Plate within a Fractional Context: an Analytical and Numerical Approach |
| Author(s) |
P.P. Bhad (Department of Mathematics, Priyadarshini J. L. College of Engineering, Nagpur, India)
V.R. Manthena (Department of Mathematics, Priyadarshini J. L. College of Engineering, Nagpur, India)
A.M. Shende (Principal, Priyadarshini J. L. College of Engineering, Nagpur, India)
N.K. Lamba (Department of Mathematics, Shri Lemdeo Patil Mahavidyalaya, Mandhal, Nagpur, India)
G.D. Kedar (Department of Mathematics, RTM Nagpur University, Nagpur, India)
Ibrahim Abbas (Mathematics Department, Faculty of Science, Sohag University, Egypt, ibrabbas7@science.sohag.edu.eg) |
| Abstract |
Axially varying functionally graded materials (FGMs) are used in thermal barrier coatings
for aeronautical, nuclear, and aviation components. In order to predict how fractional thermoelasticity
affects the temperature and stress component and enable the material to withstand temperature gradients without thermal stress or deformation, this thermoelastic problem of functionally graded elliptical
annulus plate (FGEAP) models the axial variation in thermal properties. We analyze and quantitatively investigate the heat conduction equation (HCE) under time fractional, framed with certain
mixed boundary conditions. Taking into account constant physical features, an analytical solution is
found. When dealing with functionally gradient materials, the perturbation approach is used by assuming power law functions for the material characteristics, and numerical data is produced. The Mathieu
integral transform, finite Fourier sine transform, and Laplace transform techniques have been used to
solve the HCE, and the resulting displacement and thermal stresses are determined. For numerical
computations, a model of a ceramic-metal-based FGM in which titanium carbide (TiC) is taken as
ceramic and nickel (Ni) as a metal is considered. This study effectively performs the computational
and graphical analysis of nonhomogeneous materials, which is necessary to optimize state-of-the-art materials for practical usage. |
| Keywords |
Functionally graded elliptic plate, fractional, temperature, stresses, Mathieu function, Perturbation method |
| Received |
19 November 2024 | Revised |
29 January 2025 | Accepted |
26 February 2025 |
| Link to Fulltext |
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