A Generalized Model for Curved Nanobeams Incorporating Surface Energy
This work presents a comprehensive model for nanobeams, incorporating beam curvature and surface energy. Gurtin–Murdoch surface stress theory is used, in conjunction with Euler–Bernoulli beam theory, to model the beams and take surface energy effects into consideration. The model was validated by co...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Micromachines |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2072-666X/14/3/663 |
| _version_ | 1797610096984850432 |
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| author | Mahmoud E. Khater |
| author_facet | Mahmoud E. Khater |
| author_sort | Mahmoud E. Khater |
| collection | DOAJ |
| description | This work presents a comprehensive model for nanobeams, incorporating beam curvature and surface energy. Gurtin–Murdoch surface stress theory is used, in conjunction with Euler–Bernoulli beam theory, to model the beams and take surface energy effects into consideration. The model was validated by contrasting its outcomes with experimental data published in the literature on the static bending of fixed–fixed and fixed–free nanobeams. The outcomes demonstrated that surface stress alters the stiffness of both fixed–fixed and fixed–free nanobeams with different behaviors in each case. |
| first_indexed | 2024-03-11T06:09:43Z |
| format | Article |
| id | doaj.art-d4b085f68d0a46bdbd9287820a4af499 |
| institution | Directory Open Access Journal |
| issn | 2072-666X |
| language | English |
| last_indexed | 2024-03-11T06:09:43Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Micromachines |
| spelling | doaj.art-d4b085f68d0a46bdbd9287820a4af4992023-11-17T12:43:57ZengMDPI AGMicromachines2072-666X2023-03-0114366310.3390/mi14030663A Generalized Model for Curved Nanobeams Incorporating Surface EnergyMahmoud E. Khater0Mechanical Engineering Department, College of Engineering and Physics, KFUPM, Dhahran 31261, Saudi ArabiaThis work presents a comprehensive model for nanobeams, incorporating beam curvature and surface energy. Gurtin–Murdoch surface stress theory is used, in conjunction with Euler–Bernoulli beam theory, to model the beams and take surface energy effects into consideration. The model was validated by contrasting its outcomes with experimental data published in the literature on the static bending of fixed–fixed and fixed–free nanobeams. The outcomes demonstrated that surface stress alters the stiffness of both fixed–fixed and fixed–free nanobeams with different behaviors in each case.https://www.mdpi.com/2072-666X/14/3/663curved nanobeamsEuler–Bernoulli beam modelsurface energy |
| spellingShingle | Mahmoud E. Khater A Generalized Model for Curved Nanobeams Incorporating Surface Energy Micromachines curved nanobeams Euler–Bernoulli beam model surface energy |
| title | A Generalized Model for Curved Nanobeams Incorporating Surface Energy |
| title_full | A Generalized Model for Curved Nanobeams Incorporating Surface Energy |
| title_fullStr | A Generalized Model for Curved Nanobeams Incorporating Surface Energy |
| title_full_unstemmed | A Generalized Model for Curved Nanobeams Incorporating Surface Energy |
| title_short | A Generalized Model for Curved Nanobeams Incorporating Surface Energy |
| title_sort | generalized model for curved nanobeams incorporating surface energy |
| topic | curved nanobeams Euler–Bernoulli beam model surface energy |
| url | https://www.mdpi.com/2072-666X/14/3/663 |
| work_keys_str_mv | AT mahmoudekhater ageneralizedmodelforcurvednanobeamsincorporatingsurfaceenergy AT mahmoudekhater generalizedmodelforcurvednanobeamsincorporatingsurfaceenergy |