Velocity Field Solutions for Nanofibers in a Template
Abstract:Anisotropic deformation state of a modelled nanofiber within a template under uniaxial compressive straining was investigated. Velocity field in the fiber was derived and the displacement field on the outside boundary was presented to show the deformed shape of the fiber. Plastic flow analysis was performed to establish the slip sectors under the plane strain deformation conditions. The method of characteristics was used for obtaining the analytical solution to the velocity field in one of the slip sectors. The solution was then extended to the entire circular region representing the cross section of the fiber through a series of mirror reflection and symmetrical mapping. It is found that the deformation state of the fiber has a highly anisotropic nature as revealed by various discrete regions called velocity zones. These zones are distributed symmetrically along the circumferential direction with the period of /6. In each of the zones, the velocity components are uniform along the slip lines. It is predicted that the core of the fiber may be the crack initiation site under external loadings due to the velocity jump crossing the slip sector boundaries in the core region. Separation of core and shell may also happen because of the alternative distributions of positive and negative velocity zones along the radial direction in the circular cross section of the fiber.
Document Type: Research Article
Publication date: September 1, 2007
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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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