 | | 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
|
| In English (Mech. Solids): | | 5430 |
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| << Previous article | Volume 60, Issue 8 / 2025 | Next article >> |
| Ahmed E. Abouelregal, Nouf A. Alrubea, and Marin Marin, "A Fractional Nonlocal Thermoviscoelastic Framework Incorporating Non-Singular Kernels and Length-Scale Effects: Analysis of Rotating Cylindrical Semiconductor under Pulse Heating," Mech. Solids. 60 (8), 7213-7238 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
7213-7238 |
| DOI |
10.1134/S0025654425606470 |
| Title |
A Fractional Nonlocal Thermoviscoelastic Framework Incorporating Non-Singular Kernels and Length-Scale Effects: Analysis of Rotating Cylindrical Semiconductor under Pulse Heating |
| Author(s) |
Ahmed E. Abouelregal (Department of Mathematics, College of Science, Jouf University, Sakaka, 2014 Saudi Arabia, ahabogal@ju.edu.sa)
Nouf A. Alrubea (Department of Mathematics, College of Science, Jouf University, Sakaka, 77455 Saudi Arabia)
Marin Marin (Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov, Romania; Academy of Romanian Scientists, Bucharest, 050044 Romania, m.marin@unitbv.ro) |
| Abstract |
This study presents a novel and thermodynamically consistent framework designed to overcome key limitations of classical viscoelastic and thermoelastic theories, which fail to capture memory
effects, size-dependent phenomena, and ultrafast thermal responses in micro- and nano-scale semiconductor devices. The proposed model uniquely integrates fractional calculus with nonlocal continuum mechanics by employing the Caputo–Fabrizio fractional derivative, characterized by a smooth,
non-singular exponential kernel that avoids unphysical singularities while preserving realistic fading
memory behavior. In addition, the model incorporates dual relaxation times to account for phase-lagged heat conduction and carrier diffusion, along with a nonlocal length-scale parameter that captures long-range atomic interactions. The framework is specifically applied to a rotating cylindrical
semiconductor subjected to pulsed laser heating, a physically relevant scenario for high-speed optoelectronic and microelectromechanical systems operating under transient thermal and mechanical
loads. The solution methodology combines analytical techniques based on Laplace transforms with
robust numerical inversion to solve the fully coupled multiphysics problem involving thermal,
mechanical, electronic, and electromagnetic fields. Key findings from parametric analyses reveal that
the fractional order, nonlocal scale, angular velocity, laser pulse duration, and thermal/carrier phase
lags all significantly influence the distributions of temperature, carrier density, displacement, and
stress. Critically, the results demonstrate that ignoring nonlocal effects or relying on classical integer-order derivatives leads to substantial inaccuracies in predicting photothermal and thermomechanical
responses. This model offers a more accurate, physically grounded, and reliable predictive tool for the
design and performance assessment of next-generation semiconductor-based devices, such as high-speed rotating micro-gyroscopes, laser-driven actuators, photothermal nanosensors, and other micro-electromechanical systems where precise control of coupled thermal, mechanical, and electronic
behavior under ultrafast excitation is essential. |
| Keywords |
Fractional Caputo–Fabrizio derivative, nonlocal length-scale effects, micro- and nano- scale modeling, dual-phase-lag photothermal coupling |
| Received |
03 November 2025 | Revised |
14 December 2025 | Accepted |
15 December 2025 |
| Link to Fulltext |
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