IngentaConnect Velocity Field Solutions for Nanofibers in a Template

Author: Gan, Yong X.

Source: Journal of Computational and Theoretical Nanoscience, Volume 4, Number 6, September 2007 , pp. 1188-1201(14)

Publisher: American Scientific Publishers

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 π/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.

Keywords: NANOFIBER; TEMPLATE; VELOCITY FIELD; PLASTIC FLOW; PLANE STRAIN DEFORMATION

Document Type: Research article

DOI: 10.1166/jctn.2007.014

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