Elastic Thermal Deformation of an Infinite Copper Material Due to Cyclic Heat Supply Using Higher-Order Nonlocal Thermal Modeling
Thermoelastic modeling at nanoscale is becoming more important as devices shrink and heat sources are more widely used in modern industries, such as nanoelectromechanical systems. However, the conventional thermoelastic theories are no longer applicable in high-temperature settings. This study provi...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Metals |
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| Online Access: | https://www.mdpi.com/2075-4701/12/11/1927 |
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| author | Ahmed E. Abouelregal Hamid M. Sedighi |
| author_facet | Ahmed E. Abouelregal Hamid M. Sedighi |
| author_sort | Ahmed E. Abouelregal |
| collection | DOAJ |
| description | Thermoelastic modeling at nanoscale is becoming more important as devices shrink and heat sources are more widely used in modern industries, such as nanoelectromechanical systems. However, the conventional thermoelastic theories are no longer applicable in high-temperature settings. This study provides an insight into the thermomechanical features of a nonlocal viscous half-space exposed to a cyclic heat source. Using a novel concept of fractional derivatives, introduced by Atangana and Baleanu, it is assumed that the viscoelastic properties follow the fractional Kelvin–Voigt model. The nonlocal differential form of Eringen’s nonlocal theory is employed to consider the impact of small-scale behavior. It is also proposed that the rule of dual-phase thermal conductivity can be generalized to thermoelastic materials to include the higher-order time derivatives. The numerical results for the examined physical variables are presented using the Laplace transform technique. Furthermore, several numerical analyses are performed in-depth, focusing on the effects of nonlocality, structural viscoelastic indicator, fractional order, higher-order and phase-lag parameters on the behavior of the nanoscale half-space. According to the presented findings, it appears that the higher-order terms have a major impact on reactions and may work to mitigate the impact of thermal diffusion. Furthermore, these terms provide a novel approach to categorize the materials based on their thermal conductivities. |
| first_indexed | 2024-03-09T18:08:42Z |
| format | Article |
| id | doaj.art-3242ae232d884c928f58cf9cbf7d5372 |
| institution | Directory Open Access Journal |
| issn | 2075-4701 |
| language | English |
| last_indexed | 2024-03-09T18:08:42Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Metals |
| spelling | doaj.art-3242ae232d884c928f58cf9cbf7d53722023-11-24T09:13:59ZengMDPI AGMetals2075-47012022-11-011211192710.3390/met12111927Elastic Thermal Deformation of an Infinite Copper Material Due to Cyclic Heat Supply Using Higher-Order Nonlocal Thermal ModelingAhmed E. Abouelregal0Hamid M. Sedighi1Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat 75911, Saudi ArabiaMechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz 61357-43337, IranThermoelastic modeling at nanoscale is becoming more important as devices shrink and heat sources are more widely used in modern industries, such as nanoelectromechanical systems. However, the conventional thermoelastic theories are no longer applicable in high-temperature settings. This study provides an insight into the thermomechanical features of a nonlocal viscous half-space exposed to a cyclic heat source. Using a novel concept of fractional derivatives, introduced by Atangana and Baleanu, it is assumed that the viscoelastic properties follow the fractional Kelvin–Voigt model. The nonlocal differential form of Eringen’s nonlocal theory is employed to consider the impact of small-scale behavior. It is also proposed that the rule of dual-phase thermal conductivity can be generalized to thermoelastic materials to include the higher-order time derivatives. The numerical results for the examined physical variables are presented using the Laplace transform technique. Furthermore, several numerical analyses are performed in-depth, focusing on the effects of nonlocality, structural viscoelastic indicator, fractional order, higher-order and phase-lag parameters on the behavior of the nanoscale half-space. According to the presented findings, it appears that the higher-order terms have a major impact on reactions and may work to mitigate the impact of thermal diffusion. Furthermore, these terms provide a novel approach to categorize the materials based on their thermal conductivities.https://www.mdpi.com/2075-4701/12/11/1927nonlocal thermoelasticityhigher-order time-derivativesviscoelasticityhalf-space mediumAtangana and Baleanu |
| spellingShingle | Ahmed E. Abouelregal Hamid M. Sedighi Elastic Thermal Deformation of an Infinite Copper Material Due to Cyclic Heat Supply Using Higher-Order Nonlocal Thermal Modeling Metals nonlocal thermoelasticity higher-order time-derivatives viscoelasticity half-space medium Atangana and Baleanu |
| title | Elastic Thermal Deformation of an Infinite Copper Material Due to Cyclic Heat Supply Using Higher-Order Nonlocal Thermal Modeling |
| title_full | Elastic Thermal Deformation of an Infinite Copper Material Due to Cyclic Heat Supply Using Higher-Order Nonlocal Thermal Modeling |
| title_fullStr | Elastic Thermal Deformation of an Infinite Copper Material Due to Cyclic Heat Supply Using Higher-Order Nonlocal Thermal Modeling |
| title_full_unstemmed | Elastic Thermal Deformation of an Infinite Copper Material Due to Cyclic Heat Supply Using Higher-Order Nonlocal Thermal Modeling |
| title_short | Elastic Thermal Deformation of an Infinite Copper Material Due to Cyclic Heat Supply Using Higher-Order Nonlocal Thermal Modeling |
| title_sort | elastic thermal deformation of an infinite copper material due to cyclic heat supply using higher order nonlocal thermal modeling |
| topic | nonlocal thermoelasticity higher-order time-derivatives viscoelasticity half-space medium Atangana and Baleanu |
| url | https://www.mdpi.com/2075-4701/12/11/1927 |
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