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We combine a laminate-based approach and an interface orientation average.
The overall effective linear viscosity tensor (bar {mathbb {V}}) is obtained by the orientation average of the unidirectional viscosity tensors.
Figures 4 e), 4(f), and 4(g) show averaged B-scans of reflectivity, retardation, and axis orientation (average of 15 frames recorded at the same position, methods of averaging: see ref [ 29]; as an additional processing step for generating averaged images, residual motion artifacts between the individual frames were corrected by image cross correlation methods).
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Our formulae permit the calculation of local absorption in either orientation fixed or orientation averaged situations.
Mean-field homogenization of these composites involves volume and orientation averaging.
A third issue is the actual computation of orientation averaging integrals.
It turns out that this is possible, but not by interface orientation averaging.
Consequently, reasonable estimates may be obtained by identifying planes of easy shear band formation, and using these for orientation averaging.
To take into account the effect of fiber orientation, the detailed implementation of the fiber orientation transformation and fiber orientation averaging procedure is described.
It was suspected that this result may serve as a reference solution for more complex microstructures by subjecting it to orientation averaging.
The WAXS orientation averages P2=0.99 and P4=0.96 obtained from the azimuthal scans of the (020) and (002) reflections indicate a highly oriented crystalline structure.
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