The effect of surface and interface elasticity in the analysis of the Saint–Venant torsion problem of an eccentrically two-phase fcc circular nanorod is considered; description of the behavior of such a small structure via usual classical theories cease to hold. In this work, the problem is formulated in the context of the surface/interface elasticity. For a rigorous solution of the proposed problem, conformal mapping with a Laurent series expansion are employed together. The numerical results well illustrate that the torsional rigidity and stress distribution corresponding to such nanosized structural elements are significantly affected by the size. In order to employ surface and interface elasticity, several key properties such as surface energy, surface stresses, and surface elastic constants of several fcc materials as well as interface properties of the noncoherent fcc bicrystals are derived in terms of Rafii-Tabar and Sutton interatomic potential function. For determination of the surface/interface parameters a molecular dynamics program, which uses the above-mentioned potential function, is developed. The calculated surface and interface properties are in reasonable agreement with the corresponding results in literature. Some applications of the given results can be contemplated in the design of micro-/nano-electromechanical systems.
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January 2011
Research Papers
Surface and Interface Effects on Torsion of Eccentrically Two-Phase fcc Circular Nanorods: Determination of the Surface/Interface Elastic Properties via an Atomistic Approach
Ladan Pahlevani,
Ladan Pahlevani
Institute for Nanoscience and Nanotechnology,
Sharif University of Technology
, P.O. Box 11155-9161, Tehran, Iran
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Hossein M. Shodja
Hossein M. Shodja
Institute for Nanoscience and Nanotechnology,
e-mail: shodja@sharif.edu
Sharif University of Technology
, P.O. Box 11155-9161, Tehran, Iran; Department of Civil Engineering, Sharif University of Technology
, P.O. Box 11155-9313, Tehran, Iran
Search for other works by this author on:
Ladan Pahlevani
Institute for Nanoscience and Nanotechnology,
Sharif University of Technology
, P.O. Box 11155-9161, Tehran, Iran
Hossein M. Shodja
Institute for Nanoscience and Nanotechnology,
Sharif University of Technology
, P.O. Box 11155-9161, Tehran, Iran; Department of Civil Engineering, Sharif University of Technology
, P.O. Box 11155-9313, Tehran, Irane-mail: shodja@sharif.edu
J. Appl. Mech. Jan 2011, 78(1): 011011 (11 pages)
Published Online: October 20, 2010
Article history
Received:
March 20, 2010
Revised:
July 5, 2010
Posted:
July 23, 2010
Published:
October 20, 2010
Online:
October 20, 2010
Citation
Pahlevani, L., and Shodja, H. M. (October 20, 2010). "Surface and Interface Effects on Torsion of Eccentrically Two-Phase fcc Circular Nanorods: Determination of the Surface/Interface Elastic Properties via an Atomistic Approach." ASME. J. Appl. Mech. January 2011; 78(1): 011011. https://doi.org/10.1115/1.4002211
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