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Additional Boundary Conditions for a Nonlocal Beam and an Application to the Nanotechnology

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Abstract:

In this work, additional boundary conditions are derived for bending of nonlocal beam by using the variational method. The potential energy is calculated for a nonlocal beam. Applying the principle of minimum potential energy we want to find the displacement which minimizes the potential energy. This gives the Euler-Lagrange equation plus a boundary condition equation. An example is solved. As is well-known that nanotechnology is the engineering of functional systems at the molecular scale. The results are used to display that nonlocal effects could be significant in nanotechnology. The presented solution should be useful to engineers who are designing nanostructures.

Keywords: ADDITIONAL BOUNDARY CONDITIONS; CARBON NANOTUBES; NANOTECHNOLOGY; NONLOCAL ELASTICITY; VARIATIONAL METHODS

Document Type: Research Article

DOI: https://doi.org/10.1166/jctn.2010.1453

Publication date: 2010-06-01

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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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