Nonlocal Buckling of Orthotropic Nanosheets with a Central Crack

Document Type : Research Article

Authors

Department of Civil Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

Abstract

In this study, a comprehensive study of the non-local buckling of orthotropic nanosheets with a central crack under uniaxial and biaxial loads has been conducted. Given the increasing advances in nanotechnology and the widespread applications of nanosheets in various industries such as electronics, medicine, and engineering structures, a detailed analysis of the mechanical behavior of these nanostructures is essential. Damages such as cracks that occur during the production process of nanosheets can have significant negative effects on the performance of these materials. In this regard, non-local non-classical theories have been used as a new approach to analyze the behavior of nanosheets. This research involves the development of governing equations based on first-order shear deformation theory and the use of the extended finite element method to analyze cracked nanosheets. The main variables studied in this study are: crack length to sheet width ratio, small-scale parameter that refers to the effects of nanostructures on buckling behavior, nanosheet thickness, and different support conditions. The results obtained show that the small-scale parameter significantly reduces the critical buckling capacity of nanosheets. In particular, for nanosheets with an aspect ratio of 0.6, the non-local effect can increase up to 1.18 times that of the case without a crack. Furthermore, as the lateral dimensions of the nanosheets increase, the effect of the non-local factor gradually decreases. By providing comprehensive analysis results, this research provides a solid foundation for the design and optimization of orthotropic nanosheets under various loadings and helps to clarify the buckling behavior of these nanostructures. In addition, these results can lead to the development of new production methods and optimal applications of nanosheets in industries.

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Main Subjects

References

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Amirkabir Journal of Civil Engineering
Volume 57, Issue 7
October 2025
Pages 1165-1194

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