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Therefore, K g is rescaled as follows, where is the reference grain growth prefactor and is the reference grain growth exponent.
The probability densities for each value of p are shown in the bottom plot of Figure 7, where the reference grain growth exponent is shown in black and are shown in blue and red, respectively.
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We make the assumption that the rate of grain growth is unchanged for a reference grain size a0.
A (002) preferred orientation can be indexed as the reference to calculate the grain sizes as the function of O2 pressure ratios, using Scherrer equation given by D = 0.89 λ β cos θ, (1).
As highlighted in Section 2.4, the parameters for grain boundary sliding are uncertain and we therefore consider the sensitivity of the reference model with respect to the grain boundary sliding parameters.
Representative pollen grains on the reference slides were photographed at 400× 1000× magnification.
Further, in relation to the reference wrought material the parallel columnar grain material exhibited a greater life.
To compare the behavior of this type of connections have been made a series of tests of round timber joints in different inclinations tensile load to the grains but also the reference tests of squared timber joints.
Here, the upper grain is taken as the reference lattice for all crystallographic indices with x being the tilt axis and y the GB normal.
The mean grain size and associated fields are shown for the reference parameters in Figure 3. Figure 3a shows the mean grain size.
We begin by considering how the mean grain-size field and dependent variables behave for the reference parameters shown in Tables 1 and 2. For the reference case we use the grain boundary sliding values of Hansen et al. [ 2011] and a half spreading-rate of cm/a.
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