ORIGINAL PAPER
Analysis of nonlocal features and memory phenomena in the thermoelastic behavior of multilayered annular discs exposed to convective heat exchange
1
Department of Mathematics, Priyadarshini Bhagwati College of Engineering, India
2
Department of Mathematics, School of Engineering, Anurag University, India
3
Department of Mathematics, Kavikulguru Institute of Technology and Science, Ramtek, India
4
Department of Applied Mathematics and Humanities, Yeshwantrao Chavan College of Engineering,, India
Submission date: 2026-02-19
Final revision date: 2026-04-28
Acceptance date: 2026-06-02
Online publication date: 2026-08-25
Corresponding author
V. R. Manthena
Department of Mathematics, Priyadarshini Bhagwati College of Engineering, Nagpur, India
Department of Mathematics, Priyadarshini Bhagwati College of Engineering, Nagpur, India
KEYWORDS
TOPICS
ABSTRACT
This study presents an analytical investigation of the thermoelastic behavior of multilayered annular discs incorporating nonlocal and memory-dependent effects through a Caputo fractional heat conduction model. The governing fractional heat conduction equation is formulated with convective boundary conditions and solved using an integral transform technique combined with Laplace inversion. Closed-form expressions for temperature distribution are obtained and subsequently used to evaluate thermally induced resultant moments, deflection, and stress components. Numerical simulations are performed for a three-layered disc composed of copper, zinc, and aluminium to examine the influence of fractional order parameters and material properties. The results reveal that lower fractional orders significantly delay thermal propagation due to strong memory effects, leading to smoother temperature and stress distributions, whereas higher orders approach classical behavior with rapid diffusion and increased structural response. A validation study demonstrates excellent agreement with existing results in the limiting case. The findings highlight the critical role of fractional modeling in accurately predicting thermoelastic responses of multilayered structures, with important implications for advanced engineering applications in aerospace, energy systems, and thermal protection design.
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