Thermoelastic dynamics of viscoelastic nanobeams on elastic foundations under multi-physics interactions

This study provides a theoretical analysis of the thermoelastic and dynamic behavior of viscoelastic nanobeams on an elastic Winkler foundation. The nanobeam is exposed to axial mechanical loads, periodic thermal fluctuations, and pulsed laser heating, creating a multiphysics scenario. A nonlocal fr...

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Main Authors: Nouf A. Alrubea, Ahmed E. Abouelregal
Format: Article
Language:English
Published: Elsevier 2025-09-01
Series:Results in Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S2590123025022261
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author Nouf A. Alrubea
Ahmed E. Abouelregal
author_facet Nouf A. Alrubea
Ahmed E. Abouelregal
author_sort Nouf A. Alrubea
collection DOAJ
description This study provides a theoretical analysis of the thermoelastic and dynamic behavior of viscoelastic nanobeams on an elastic Winkler foundation. The nanobeam is exposed to axial mechanical loads, periodic thermal fluctuations, and pulsed laser heating, creating a multiphysics scenario. A nonlocal framework based on a modified Klein-Gordon equation captures spatial and temporal nonlocal effects. The dual-phase-lag (DPL) heat conduction model is employed to account for finite-speed thermal propagation by introducing phase lags for heat flux and temperature gradients, overcoming limitations of classical heat conduction theories. The Kelvin-Voigt viscoelastic model is used to describe material damping, essential for vibration control. Numerical simulations investigate the influence of Winkler foundation stiffness, nonlocal parameters, and damping coefficients on deflection and thermal response. Comparative studies validate the model’s accuracy in capturing coupled thermoelastic-viscoelastic behavior, providing insights into nanoscale dynamics and guiding the design of advanced materials and nanotechnology systems under complex conditions.
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issn 2590-1230
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spelling doaj-art-3353a180be0846cd9993abc6885ef1452025-08-20T03:13:21ZengElsevierResults in Engineering2590-12302025-09-012710615410.1016/j.rineng.2025.106154Thermoelastic dynamics of viscoelastic nanobeams on elastic foundations under multi-physics interactionsNouf A. Alrubea0Ahmed E. Abouelregal1Mathematics Department, College of Science, Jouf University, P.O. Box 2014, Sakaka, Saudi ArabiaCorresponding author.; Mathematics Department, College of Science, Jouf University, P.O. Box 2014, Sakaka, Saudi ArabiaThis study provides a theoretical analysis of the thermoelastic and dynamic behavior of viscoelastic nanobeams on an elastic Winkler foundation. The nanobeam is exposed to axial mechanical loads, periodic thermal fluctuations, and pulsed laser heating, creating a multiphysics scenario. A nonlocal framework based on a modified Klein-Gordon equation captures spatial and temporal nonlocal effects. The dual-phase-lag (DPL) heat conduction model is employed to account for finite-speed thermal propagation by introducing phase lags for heat flux and temperature gradients, overcoming limitations of classical heat conduction theories. The Kelvin-Voigt viscoelastic model is used to describe material damping, essential for vibration control. Numerical simulations investigate the influence of Winkler foundation stiffness, nonlocal parameters, and damping coefficients on deflection and thermal response. Comparative studies validate the model’s accuracy in capturing coupled thermoelastic-viscoelastic behavior, providing insights into nanoscale dynamics and guiding the design of advanced materials and nanotechnology systems under complex conditions.http://www.sciencedirect.com/science/article/pii/S2590123025022261Klein-GordonNanobeamPhase-lagAxial loadsWinkler foundation
spellingShingle Nouf A. Alrubea
Ahmed E. Abouelregal
Thermoelastic dynamics of viscoelastic nanobeams on elastic foundations under multi-physics interactions
Results in Engineering
Klein-Gordon
Nanobeam
Phase-lag
Axial loads
Winkler foundation
title Thermoelastic dynamics of viscoelastic nanobeams on elastic foundations under multi-physics interactions
title_full Thermoelastic dynamics of viscoelastic nanobeams on elastic foundations under multi-physics interactions
title_fullStr Thermoelastic dynamics of viscoelastic nanobeams on elastic foundations under multi-physics interactions
title_full_unstemmed Thermoelastic dynamics of viscoelastic nanobeams on elastic foundations under multi-physics interactions
title_short Thermoelastic dynamics of viscoelastic nanobeams on elastic foundations under multi-physics interactions
title_sort thermoelastic dynamics of viscoelastic nanobeams on elastic foundations under multi physics interactions
topic Klein-Gordon
Nanobeam
Phase-lag
Axial loads
Winkler foundation
url http://www.sciencedirect.com/science/article/pii/S2590123025022261
work_keys_str_mv AT noufaalrubea thermoelasticdynamicsofviscoelasticnanobeamsonelasticfoundationsundermultiphysicsinteractions
AT ahmedeabouelregal thermoelasticdynamicsofviscoelasticnanobeamsonelasticfoundationsundermultiphysicsinteractions