A Nonlinear Nonlocal Thermoelasticity Euler–Bernoulli Beam Theory and Its Application to Single-Walled Carbon Nanotubes
Although small-scale effect or thermal stress significantly impact the mechanical properties of nanobeams, their combined effects and the temperature dependence of the elastic parameters have yet to attract the attention of researchers. In the present paper, we propose a new nonlocal nonlinear Euler...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Nanomaterials |
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| Online Access: | https://www.mdpi.com/2079-4991/13/4/721 |
| _version_ | 1797618949583536128 |
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| author | Kun Huang Wei Xu |
| author_facet | Kun Huang Wei Xu |
| author_sort | Kun Huang |
| collection | DOAJ |
| description | Although small-scale effect or thermal stress significantly impact the mechanical properties of nanobeams, their combined effects and the temperature dependence of the elastic parameters have yet to attract the attention of researchers. In the present paper, we propose a new nonlocal nonlinear Euler–Bernoulli theory to model the mechanical properties of nanobeams. We considered the small-scale effect, thermal stress, and the temperature dependence of Young’s modulus. A single-walled carbon nanotube (SWCNT) was used to demonstrate the influence of the three factors on elastic buckling and forced bending vibrations. The results indicate that thermal stress and the temperature dependence of Young’s modulus have a remarkable influence on the mechanical properties of slender SWCNTs as compared to the small-scale effect induced by the nonlocal effect. Ignoring the temperature effect of slender SWCNTs may cause qualitative mistakes. |
| first_indexed | 2024-03-11T08:19:51Z |
| format | Article |
| id | doaj.art-55100197e09b4563b2bd078386e62eaf |
| institution | Directory Open Access Journal |
| issn | 2079-4991 |
| language | English |
| last_indexed | 2024-03-11T08:19:51Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Nanomaterials |
| spelling | doaj.art-55100197e09b4563b2bd078386e62eaf2023-11-16T22:28:01ZengMDPI AGNanomaterials2079-49912023-02-0113472110.3390/nano13040721A Nonlinear Nonlocal Thermoelasticity Euler–Bernoulli Beam Theory and Its Application to Single-Walled Carbon NanotubesKun Huang0Wei Xu1Department of Engineering Mechanics, Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming 650500, ChinaDepartment of Engineering Mechanics, Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming 650500, ChinaAlthough small-scale effect or thermal stress significantly impact the mechanical properties of nanobeams, their combined effects and the temperature dependence of the elastic parameters have yet to attract the attention of researchers. In the present paper, we propose a new nonlocal nonlinear Euler–Bernoulli theory to model the mechanical properties of nanobeams. We considered the small-scale effect, thermal stress, and the temperature dependence of Young’s modulus. A single-walled carbon nanotube (SWCNT) was used to demonstrate the influence of the three factors on elastic buckling and forced bending vibrations. The results indicate that thermal stress and the temperature dependence of Young’s modulus have a remarkable influence on the mechanical properties of slender SWCNTs as compared to the small-scale effect induced by the nonlocal effect. Ignoring the temperature effect of slender SWCNTs may cause qualitative mistakes.https://www.mdpi.com/2079-4991/13/4/721Euler–Bernoulli beam theorynonlocal elasticitytemperaturesingle-walled carbon nanotubesbucklingnonlinear vibration |
| spellingShingle | Kun Huang Wei Xu A Nonlinear Nonlocal Thermoelasticity Euler–Bernoulli Beam Theory and Its Application to Single-Walled Carbon Nanotubes Nanomaterials Euler–Bernoulli beam theory nonlocal elasticity temperature single-walled carbon nanotubes buckling nonlinear vibration |
| title | A Nonlinear Nonlocal Thermoelasticity Euler–Bernoulli Beam Theory and Its Application to Single-Walled Carbon Nanotubes |
| title_full | A Nonlinear Nonlocal Thermoelasticity Euler–Bernoulli Beam Theory and Its Application to Single-Walled Carbon Nanotubes |
| title_fullStr | A Nonlinear Nonlocal Thermoelasticity Euler–Bernoulli Beam Theory and Its Application to Single-Walled Carbon Nanotubes |
| title_full_unstemmed | A Nonlinear Nonlocal Thermoelasticity Euler–Bernoulli Beam Theory and Its Application to Single-Walled Carbon Nanotubes |
| title_short | A Nonlinear Nonlocal Thermoelasticity Euler–Bernoulli Beam Theory and Its Application to Single-Walled Carbon Nanotubes |
| title_sort | nonlinear nonlocal thermoelasticity euler bernoulli beam theory and its application to single walled carbon nanotubes |
| topic | Euler–Bernoulli beam theory nonlocal elasticity temperature single-walled carbon nanotubes buckling nonlinear vibration |
| url | https://www.mdpi.com/2079-4991/13/4/721 |
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