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Buckling of Graphene Layers Supported by Rigid Substrates

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Abstract:

We formulate a nonlinear continuum model of a graphene sheet supported by a flat rigid substrate. The sheet is parallel to the substrate and loaded on a pair of opposite edges. A typical cross-section of the sheet is modeled as an elastica. We use elementary techniques from bifurcation theory to investigate how the buckling of the sheet depends on the boundary conditions, the composition of the substrate, and the length of the sheet. We also present numerical results that illustrate sna-pbuckling of the sheet.

Keywords: ELASTIC FOUNDATION; ELASTICA; GRAPHENE; MECHANICAL BEHAVIOR; VAN DER WAALS FORCES

Document Type: Research Article

DOI: http://dx.doi.org/10.1166/jctn.2010.1617

Publication date: November 1, 2010

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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