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The elastic moduli are calculated by the energy-vs.-strain method [59,60].
The Young's moduli are calculated for both materials from the stress strain curves.
An equivalent fiber is developed to overcome this difficulty and corresponding longitudinal, transverse and shear moduli are calculated.
With the established model, the fictitious-bond lengths between adjacent molecules are evaluated and the longitudinal and circumferential moduli are calculated.
The storage and loss shear moduli are calculated by [42] G ' ω = ω ∫ 0 ∞ G s t sin ωtdt (13) G " ω = ω ∫ 0 ∞ G s t cos ωtdt (14).
At the same time, from calculated single crystal elastic constants, it is shown that all structures are mechanically stable and related mechanical properties such as bulk, shear and Young moduli are calculated.
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The elastic moduli were calculated by analyzing compressional and shear sonic logs and using mathematical correlations.
Theoretical indentation moduli were calculated with a homogenization model from the quantified mineral densities and mean collagen fibril orientations.
Young's moduli were calculated from a linear fit to the curves within strain of 0.025 and are listed in Table 2.
Biaxial and constrained uniaxial testing was performed on each specimen, and Young׳s moduli were calculated from the resulting stress strain curves.
Two effective moduli were calculated per sample, based on the deformations measured using the machine platens and a sample-mounted extensometer.
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