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Bending and vibration analysis of the third-order rectangular nanoplates using the modified couple stress theory

Document Type : Original Article

Authors

1 Ph.D. student, Aerospace Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.

2 Professor, Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.

3 Ph.D. student, Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.

4 Faculty of Materials and Manufacturing Technologies, Malek Ashtar University of Technology, Tehran.

Abstract

In this paper a third-order rectangular nanoplate model is developed for the bending and vibration analysis of a graphene nanoplate based on a modified couple stress theory. The bending rates and dimensionless bending values under uniform surface traction and sinusoidal load, and the frequencies of the nanoplate are all obtained for various plate's dimensional ratios and material length scale to thickness ratios. The governing equations are numerically solved. The effect of material length scale, length, width and thickness of the nanoplate on the bending and vibration ratios are investigated and the results are presented and discussed in details.

Keywords

References
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Computational Sciences and Engineering
Volume 2, Issue 1
April 2022
Pages 97-110
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