Publication: Mechanistic models for nanobeams with surface stress effects
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59
Issued Date
2018-11-01
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Submitted Manuscript Under Review
ISSN
07339399
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2-s2.0-85052490230
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Mahidol University
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SCOPUS
Bibliographic Citation
Journal of Engineering Mechanics. Vol.144, No.11 (2018)
Suggested Citation
Y. Sapsathiarn, R. K.N.D. Rajapakse Mechanistic models for nanobeams with surface stress effects. Journal of Engineering Mechanics. Vol.144, No.11 (2018). doi:10.1061/(ASCE)EM.1943-7889.0001520 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/45785
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Title
Mechanistic models for nanobeams with surface stress effects
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Abstract
© 2018 American Society of Civil Engineers. In this paper, a mechanistic model for nanobeams with surface energy effects is developed by using a variational formulation. This work is motivated by the unusual response of nanocantilevers predicted by models based on the Young-Laplace equation for surface stress. The governing equation and boundary conditions derived from the variational methods are compared with the governing equations and boundary conditions used in the Young-Laplace models and other formulations. A key difference in the shear force boundary condition is noted. Analytical solutions for simply supported, cantilevered, and fixed-fixed beams are reexamined. It is shown that the unusual behavior of nanocantilevers predicted by the Young-Laplace models is due to the shear force boundary condition used. The current formulation leads to consistent solutions for beams under different boundary conditions.