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. Author manuscript; available in PMC: 2012 Sep 1.
Published in final edited form as: J Mech Phys Solids. 2011 Sep 1;59(9):1823–1837. doi: 10.1016/j.jmps.2011.05.012

Figure 3.

Figure 3

Discretization of the Beta-distribution of fiber orientation θ. The corresponding cumulative probability D(x) is given for each region. The span of Beta-distribution is Δ = 60°, and α = β = 6. The continuous cumulative probability D(x) is discretized by rounding method: D(x)= p(x+ h/2) − p(x−h/2), in which h is interval between regions.