 | | 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: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5249 |
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| << Previous article | Volume 60, Issue 6 / 2025 | Next article >> |
| Nitesh Kumar, Aditya Kaushik, and Ahmed Abouelregal, "Thermal and Stress Analysis of a Semi-Infinite Hollow Cylinder under Ramp-Type Heating with Memory-Dependent Derivatives," Mech. Solids. 60 (6), 4863-4878 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
4863-4878 |
| DOI |
10.1134/S0025654425603180 |
| Title |
Thermal and Stress Analysis of a Semi-Infinite Hollow Cylinder under Ramp-Type Heating with Memory-Dependent Derivatives |
| Author(s) |
Nitesh Kumar (Department of Applied Mathematics, Delhi Technological University, Delhi, India, niteshkumar_2k22phdam05@dtu.ac.in)
Aditya Kaushik (Department of Applied Mathematics, Delhi Technological University, Delhi, India)
Ahmed Abouelregal (Department of Mathematics, College of Science, Jouf University, Sakaka, 2014 Saudi Arabia; Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516 Egypt) |
| Abstract |
The study of thermal behavior in hollow cylindrical structures under ramp-type heating is
critical for applications in aerospace, mechanical, and thermodynamic engineering. However, existing
research has largely overlooked the influence of memory-dependent derivatives (MDD) combined
with time delay parameters on temperature and stress distributions in such systems. This work
addresses this gap by introducing a novel mathematical model for a semi-infinite hollow cylinder subjected to ramp-type heating at its lower surface, incorporating MDD to capture memory effects in heat
conduction. The novelty lies in the integration of time delay parameters within the MDD framework,
offering a more realistic representation of thermal and stress responses. Using Laplace, Hankel, and
Fourier transform methods, analytical solutions are derived in the Laplace domain, with numerical
inversion applied to obtained results. The model assumes convective boundary conditions on the cylinder’s curved surfaces and employs copper material properties for numerical analysis. Key contributions include the derivation of closed-form expressions for temperature, displacement, and stress distributions, and the demonstration of significant time delay effects on these variables. Results reveal
that increasing time delay parameters reduces temperature and angular stress while altering displacement and radial stress profiles, with maximum stresses observed at specific radial and axial positions.
These findings enhance the understanding of memory-dependent thermo-elasticity, providing valuable insights for designing robust cylindrical structures in high-temperature environments, such as
spacecraft and industrial machinery. |
| Keywords |
memory dependent derivative, hollow cylinder, analytical transform methods, thermal time delay effects, ramp-induced thermo-elasticity |
| Received |
16 June 2025 | Revised |
23 July 2025 | Accepted |
09 August 2025 |
| Link to Fulltext |
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