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add isotropic and anisotropic Barlat1991 yield criteria.

This commit is contained in:
Haiming Zhang 2015-02-03 12:54:16 +00:00
parent 55445af9bc
commit bef846d294
1 changed files with 33 additions and 3 deletions
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36
processing/misc/yieldSurface.py
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@ -144,12 +144,42 @@ def generalHosford(sigmas, sigma0, a):
return r.ravel()
def Barlat1991(sigmas, sigma0, a):
def Barlat1991(sigmas, sigma0, order, \
a=1.0, b=1.0, c=1.0, f=1.0, g=1.0, h=1.0):
'''
residuum of Hershey yield criterion (eq. 2.104, sigma_e = sigma0)
residuum of Barlat 1997 yield criterion
'''
cos = np.cos; pi = np.pi; abs = np.abs
A = a*(sigmas[4] - sigmas[8])
B = b*(sigmas[8] - sigmas[0])
C = c*(sigmas[0] - sigmas[4])
F = f*sigmas[5]
G = g*sigmas[2]
H = h*sigmas[1]
I2 = (F*F + G*G + H*H)/3.0 + ((A-C)*(A-C)+(C-B)*(C-B)+(B-A)*(B-A))/54.0
I3 = (C-B)*(A-C)*(B-A)/54.0 + F*G*H - \
((C-B)*F*F+(A-C)*G*G+(B-A)*H*H)/6
theta = np.arccos(I3/pow(I2,1.5))
Phi = pow(3.0*I2, order/2.0)* (
pow(abs(2.0*cos((2.0*theta + pi)/6.0)), order) +
pow(abs(2.0*cos((2.0*theta + pi*3.0)/6.0)), order) +
pow(abs(2.0*cos((2.0*theta + pi*5.0)/6.0)), order)
)
r = Phi - 2.0*pow(sigma0, order)
return None
return r.ravel()
def Barlat1991iso(sigmas, sigma0, m):
'''
residuum of isotropic Barlat 1991 yield criterion (eq. 2.37)
'''
return Barlat1991(sigmas, sigma0, m)
def Barlat1991aniso(sigmas, sigma0, m, a,b,c,f,g,h):
'''
residuum of anisotropic Barlat 1991 yield criterion (eq. 2.37)
'''
return Barlat1991(sigmas, sigma0, m, a,b,c,f,g,h)
def Barlat1994(sigmas, sigma0, a):