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Further, to demonstrate the effectiveness of the strong-contrast approach in dealing with anisotropic materials, the effective mechanical properties of a macroscopically anisotropic heterogeneous material are predicted and compared to ones calculated using the DS model.
In both investigated materials, the effective thresholds for mode III were ∼1.7 times higher than those for mode II.
In the case of fiber-reinforced materials, the effective properties are obtained using either the Mori–Tanaka or asymptotic expansion homogenization (AEH) methods.
Based on the Mori–Tanaka method and the method of calculating the average stress of composite materials, the effective modules for the carbon nanotubes are obtained.
It has been shown theoretically that in the case of uncharged porous materials the effective diffusion coefficient of solutes is a function of the pore morphology of the material and can be described by the tortuosity (tensor) (Bear, 1988 [1988
Using the constitutive equations of von Mises elastic plastic materials, the effective plastic flow behavior is obtained as a set of coupled nonlinear ordinary differential equations with algebraic conditions.
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The introduced model predicts that due to adding 30V/V% fibers to the matrix material, the effective isotropic viscosity increases to 1.7-fold of the matrix viscosity (blue circle).
Comparing a column packed with the classified versus non-classified material, the effective flow resistance of the two columns was decreased by 58% and the minimum HETP for the packing material was improved from 4 to 2.5microm.
The fabrication of advanced materials for the effective adsorption and monitoring toxic gases in ambient air is highly desirable.
These discrepancies are due to two factors: first, the EMA assumes that the different materials integrating the effective medium have characteristic sizes much smaller than the wavelength.
Regarding the meta-material as an anisotropic material by the effective medium theory, the dispersion relation of the SPP was derived.
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CEO of Professional Science Editing for Scientists @ prosciediting.com