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KMID : 1137820100310030194
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2010 Volume.31 No. 3 p.194 ~ p.198
A Simpler Method to Estimate the Elastic Constant of Collagen-like Microfibril Using Voigt-Reuss Bounds
Yoon Young-June

Bae Cheol-Soo
Abstract
The effective Young¡¯s modulus of a microfibril surrounded by water may be simply calculated by using the upper (Voigt) and lower (Reuss) bounds, which is one way to estimate the Young¡¯s modulus in composite materials. The Steered Molecular Dynamics (SMD) has been used for estimating the Young¡¯s modulus of a microfibril surrounded by water. In this paper, the result estimated by the upper (Voigt) and lower (Reuss) bounds shows 9.2% to 21.8% discrepancy from the result estimated by SMD, but introducing ¡°efficiency of reinforcement parameter¡± removes the discrepancy and shows good agreement with the result estimated by SMD. We found the best fit for the Young¡¯s modulus against the size of the gap between microfibrils. Also the steps using these bounds are much simpler than SMD.
KEYWORD
Elastic constants, Microfibril, Voigt-Reuss bounds, Micromechanics
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