The finite element absolute nodal coordinate formulation incorporated with surface stress effect to model elastic bending nanowires in large deformation |
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Authors: | Jin He Carmen M Lilley |
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Affiliation: | (1) Department of Mechanical and Industrial Engineering, University of Illinois at Chicago, Chicago, IL 60607, USA |
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Abstract: | Surface stress was incorporated into the finite element absolute nodal coordinate formulation in order to model elastic bending
of nanowires in large deformation. The absolute nodal coordinate formulation is a numerical method to model bending structures
in large deformation. The generalized Young-Laplace equation was employed to model the surface stress effect on bending nanowires.
Effects from surface stress and large deformation on static bending nanowires are presented and discussed. The results calculated
with the absolute nodal coordinate formulation incorporated with surface stress show that the surface stress effect makes
the bending nanowires behave like softer or stiffer materials depending on the boundary condition. The surface stress effect
diminishes as the dimensions of the bending structures increase beyond the nanoscale. The developed algorithm is consistent
with the classical absolute nodal coordinate formulation at the macroscale. |
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Keywords: | Surface stress Bending nanowires Large deformation Absolute nodal coordinate formulation |
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