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Microsystem Technologies

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19-10-2023 | Technical Paper

Mechanics of mixture unified gradient nanobars with elastic boundary conditions

Authors: Kabir Sadeghi, Amir Shamsi, S. Ali Faghidian

Published in: Microsystem Technologies | Issue 12/2023

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Abstract

Carbon nanotubes are one of the most influential constituents of advanced engineering systems. The classical continuum mechanics, however, ceases to hold in accurate description of the structural response of nanobars. The mixture unified gradient theory of elasticity is invoked for the nanoscopic study of the structural characteristics of nanobars. The associated boundary-value problem of equilibrium is established within a consistent stationary variational framework. The differential condition of equilibrium is properly equipped with extra non-standard boundary conditions. To examine the more realistic response of nano-sized bars, deformable boundary conditions are prescribed where the elastic deformation of the support is modeled by a translational restraint at the boundary. The idealized free and fixed end conditions are, accordingly, retrieved for ad hoc values of the translational elastic spring stiffness. The mechanics of the mixture unified gradient bar is analytically addressed and a closed-form solution of the axial deformation of the nanobar is detected. The axial structural features of the nanobar with elastic boundary conditions are numerically studied and the asymptotic structural behavior of the mixture unified gradient bar is analytically examined. A new benchmark is detected that can be efficaciously applied in the analysis and design of pioneering nano-systems.

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Title: Mechanics of mixture unified gradient nanobars with elastic boundary conditions
Authors: Kabir Sadeghi
Amir Shamsi
S. Ali Faghidian
Publication date: 19-10-2023
Publisher: Springer Berlin Heidelberg
Published in: Microsystem Technologies / Issue 12/2023
Print ISSN: 0946-7076
Electronic ISSN: 1432-1858
DOI: https://doi.org/10.1007/s00542-023-05541-7

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