The increasing use of nanosheets in engineering and commercial applications, along with potential damages such as cracks during their production, necessitates the study of the mechanical behavior of nanostructures to design and enhance their reliability. These cracks can affect the buckling capacity of orthotropic nanosheets. To date, few studies have focused on the impact of cracks on nanosheets. At the nanoscale, the assumption of material continuity, fundamental in classical continuum mechanics, is not valid. Therefore, non-classical non-local theories are employed to analyze nanosheets. This research investigates the effects of small scale on the non-local buckling of orthotropic nanosheets with defects under uniaxial and biaxial loads. The governing equations are developed based on first-order shear deformation theory using Eringen's non-local elasticity theory. Additionally, cracked orthotropic nanosheets are analyzed using an advanced finite element method. Key variables include the crack length-to-sheet width ratio, small scale factor, aspect ratio, nanosheet thickness, loading, and support conditions. Results indicate that while the small scale factor reduces the critical buckling capacity of nanosheets, for cracked orthotropic nanosheets with a crack length ratio of 0.6, the reduction effect is amplified by approximately 1.18 times compared to uncracked nanosheets. Furthermore, when the lateral dimensions of the cracked orthotropic nanosheets increase sixfold, the non-local factor has no impact on the buckling coefficient. Additionally, increasing the aspect ratio gradually diminishes the effect of crack length in cracked orthotropic nanosheets.
Abdolvahab, V. and Memarzadeh, P. (2025). Nonlocal buckling of orthotropic nanosheets with a central crack. Amirkabir Journal of Civil Engineering, (), -. doi: 10.22060/ceej.2025.23146.8118
MLA
Abdolvahab, V. , and Memarzadeh, P. . "Nonlocal buckling of orthotropic nanosheets with a central crack", Amirkabir Journal of Civil Engineering, , , 2025, -. doi: 10.22060/ceej.2025.23146.8118
HARVARD
Abdolvahab, V., Memarzadeh, P. (2025). 'Nonlocal buckling of orthotropic nanosheets with a central crack', Amirkabir Journal of Civil Engineering, (), pp. -. doi: 10.22060/ceej.2025.23146.8118
CHICAGO
V. Abdolvahab and P. Memarzadeh, "Nonlocal buckling of orthotropic nanosheets with a central crack," Amirkabir Journal of Civil Engineering, (2025): -, doi: 10.22060/ceej.2025.23146.8118
VANCOUVER
Abdolvahab, V., Memarzadeh, P. Nonlocal buckling of orthotropic nanosheets with a central crack. Amirkabir Journal of Civil Engineering, 2025; (): -. doi: 10.22060/ceej.2025.23146.8118
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