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Small-Scale Effects on the Buckling of Skew Nanoplates Based on Non-Local Elasticity and Second-Order Strain Gradient Theory

Published online by Cambridge University Press:  22 February 2017

B. Shahriari  and
S. Shirvani
B. Shahriari*
Affiliation:
Department of Mechanical and Aerospace EngineeringMalek Ashtar University of TechnologyIsfahan, Iran
S. Shirvani
Affiliation:
Department of Mechanical EngineeringSirjan University of TechnologySirjan, Iran
*
*Corresponding author ([email protected])
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Abstract

In recent years, nanostructures have been used in a vast number of applications, making the study of the mechanical behaviour of such structures important. In this paper, two different constitutive equations including first-order strain gradient and simplified differential non-local are employed to model the buckling behaviour of skew nanoplates. The Galerkin method is used for solving the equations in order to obtain buckling load. Using this method, the influence of different parameters consisting of non-classical properties, boundary conditions, and geometrical parameters such as length and angle on the buckling load, are studied. The results showed that small-scale effects are very important in skew graphene sheets and their inclusion results in smaller buckling loads.

Keywords

Skew nanoplateNon-localStrain gradientGalerkin method
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 4 , August 2018 , pp. 443 - 452
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

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