anisotropy/extra/fillet-radius.py

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import matplotlib.pyplot as plt
from math import sqrt
import sys
if __name__ == "__main__":
try:
stype = sys.argv[1]
except IndexError:
print("python fillet-radius.py [simple|bodyCentered|faceCentered]")
exit(1)
if stype == "simple":
r0 = 1.0
C1, C2 = 0.8, 0.5
theta1, theta2 = 0.01, 0.28
delta = 0.2
elif stype == "bodyCentered":
L = 1.0
r0 = L * sqrt(3) / 4
C1, C2 = 0.3, 0.2
theta1, theta2 = 0.01, 0.18
delta = 0.02
elif stype == "faceCentered":
L = 1.0
r0 = L * sqrt(2) / 4
C1, C2 = 0.3, 0.2
theta1, theta2 = 0.01, 0.13
delta = 0.012
else:
print("python fillet-radius.py [simple|bodyCentered|faceCentered]")
exit(1)
Cf = lambda theta: C1 + (C2 - C1) / (theta2 - theta1) * (theta - theta1)
fillet = lambda theta: delta - Cf(theta) * (r0 / (1 - theta) - r0)
tocount = lambda num: int(num * 100)
theta = [ 0.01 * n for n in range(tocount(theta1), tocount(theta2) + 1) ]
coeffs = [ Cf(n) for n in theta ]
radiuses = [ fillet(n) for n in theta ]
plt.figure(1)
plt.subplot(211)
plt.plot(theta, coeffs, "o")
plt.grid(True)
plt.ylabel("Cf")
plt.subplot(212)
plt.plot(theta, radiuses, "o")
plt.grid(True)
plt.ylabel("Radius")
plt.xlabel("Theta")
plt.show()