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Small-Scale Effect on the Static Deflection of a Clamped Graphene Sheet

G. Q. Xie1, J. P. Wang2, Q. L. Zhang1
Civil Engineering college, Hunan University of Science and Technology, Xiangtan 411201, China
Mianyang Vocational and Technical College, Mianyang 621000, ChinaCorresponding author. E-mail: 1020095@hnust.edu.cn

Computers, Materials & Continua 2015, 48(2), 103-117. https://doi.org/10.3970/cmc.2015.048.103

Abstract

Small-scale effect on the static deflection of a clamped graphene sheet and influence of the helical angle of the clamped graphene sheet on its static deflection are investigated. Static equilibrium equations of the graphene sheet are formulated based on the concept of nonlocal elastic theory. Galerkin method is used to obtain the classical and the nonlocal static deflection from Static equilibrium equations , respectively. The numerical results show that the static deflection and small-scale effect of a clamped graphene sheet is affected by its small size and helical angle. Small-scale effect will decrease with increase of the length and width of the graphene sheet, and small-scale effect will disappear when the length and the width of graphene sheet are both larger than 200 um.

Keywords

Nonlocal theory, Graphene sheet, Small-scale effect, Static deflection, Helical angle

Cite This Article

G. Q. . Xie, J. P. . Wang and Q. L. . Zhang, "Small-scale effect on the static deflection of a clamped graphene sheet," Computers, Materials & Continua, vol. 48, no.2, pp. 103–117, 2015.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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