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Buckling analysis and small scale effect of biaxially compressed graphene sheets using non-local elasticity theory

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Abstract

In this paper, buckling analysis of biaxially compressed graphene sheets with non-local elasticity theory is reported. The equations of motion for graphene sheet are derived using non-local local elasticity theory. Levy’s approach has been used to solve the governing equations for various boundary conditions of the graphene sheet. Present results from Levy’s solution agree with the results for all edges simply supported available in the literature. Further, the effect of the (i) non-local parameter, (ii) size of the graphene sheet and (iii) various boundary conditions on the critical buckling loads of the graphene sheets are investigated. It is observed that non-local parameter and boundary conditions significantly influence the critical buckling loads of the small size graphene sheets.

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Acknowledgements

Author thanks Mr. M Pant, undergraduate student of Indian Institute of Technology Kharagpur for some computational results.

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  1. Department of Aerospace Engineering, Indian Institute of Technology, Kharagpur, 721 302, India

    S C PRADHAN

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  1. S C PRADHAN
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PRADHAN, S.C. Buckling analysis and small scale effect of biaxially compressed graphene sheets using non-local elasticity theory. Sadhana 37, 461–480 (2012). https://doi.org/10.1007/s12046-012-0088-y

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  • DOI: https://doi.org/10.1007/s12046-012-0088-y

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