addthe Cazacu–Barlat (CZ) yield criterion (3D and 2D), Banabic–Balan–Comsa (BBC) Yield Criterion.
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Haiming Zhang
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cdb7795956
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f3bab46275
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@ -206,7 +206,62 @@ def Barlat1994(sigmas, sigma0, a):
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return None
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def Cazacu_Barlat3D(sigmas, sigma0,
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a1,a2,a3,a4,a5,a6, b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11, c):
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'''
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residuum of the Cazacu–Barlat (CZ) yield criterion
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'''
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s11 = sigmas[0]; s22 = sigmas[1]; s33 = sigmas[2]
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s12 = sigmas[3]; s23 = sigmas[4]; s31 = sigmas[5]
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J20 = ( a1*(s22-s33)**2 + a2*(s33-s11)**2 + a3*(s11-s22)**2 )/6.0 + \
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a4* s23**2 + a5* s31**2 + a6* s12**2
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J30 = ( (b1 +b2 )*s11**3 + (b3 +b4 )*s22**3 + ( b1+b4-b2 + b1+b4-b3 )*s33**3)/27.0- \
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( (b1*s22+b2*s33)*s11**2 + (b3*s33+b4*s11)*s22**2 + ((b1+b4-b2)*s11 + (b1+b4-b3)*s22)*s33**2)/9.0 + \
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( (b1+b4)*s11*s22*s33/9.0 + b11*s12*s23*s31 )*2.0 - \
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( ( 2.0*b9 *s22 - b8*s33 - (2*b9 -b8)*s11 )*s31**2 +
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( 2.0*b10*s33 - b5*s22 - (2*b10-b5)*s11 )*s12**2 +
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( (b6+b7)*s11 - b6*s22 - b7*s33 )*s23**2
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)/3.0
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f0 = (J20**3 - c*J30**2)**(1.0/6.0)
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k2 = (sigma0/3.0) *18.0 **(1.0/6.0)
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r = f0/k2 - 1.0
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return r.ravel()
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def Cazacu_Barlat2D(sigmas, sigma0,
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a1,a2,a3,a6, b1,b2,b3,b4,b5,b10, c):
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'''
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residuum of the Cazacu–Barlat (CZ) yield criterion for plain stress
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'''
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s11 = sigmas[0]; s22 = sigmas[1]; s12 = sigmas[3]
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J20 = ( (a2+a3)*s11**2 + (a1+a3)*s22**2 - 2.0*a3*s11*s22 )/6.0 + a6*s12**2
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J30 = ( (b1 + b2 )*s11**3 + (b3 +b4 )*s22**3 )/27.0- \
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( (b1*s11 + b4*s22)*s11*s22 )/9.0 + \
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( b5*s22 + (2*b10-b5)*s11 )*s12**2/3.0
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f0 = (J20**3 - c*J30**2)**(1.0/6.0)
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k2 = (sigma0/3.0) *18.0 **(1.0/6.0)
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r = f0/k2 - 1.0
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return r.ravel()
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def BBC2003(sigmas, sigma0, a,b,c, d,e,f,g, k):
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'''
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residuum of the BBC2003 yield criterion for plain stress
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'''
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s11 = sigmas[0]; s22 = sigmas[1]; s12 = sigmas[3]
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k2 = 2.0*k
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Gamma = s11*(d+e) + s22*(e+f)
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Psi = ( ( s11*(d-e)/2.0 + s22*(e-f)/2.0 )**2 + (g*s12)**2 )**0.5
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sBar = ( a*(b*Gamma + c*Psi)**k2 + a*(b*Gamma - c*Psi)**k2 +
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(1-a)*(2.0*c*Psi)**k2 )**(1.0/k2)
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r = sBar/sigma0 - 1.0
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return r.ravel()
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fittingCriteria = {
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'tresca' :{'func' : Tresca,
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@ -227,35 +282,58 @@ fittingCriteria = {
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'num' : 2,'err':np.inf,
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'name' : 'Gerenal Hosford',
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'paras': 'Initial yield stress:',
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'text' : '\nCoefficient of Hosford criterion:\nsigma0, a: ',
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'text' : '\nCoefficients of Hosford criterion:\nsigma0, a: ',
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'error': 'The standard deviation errors are: '
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},
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'hill1948' :{'func' : Hill1948,
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'num' : 6,'err':np.inf,
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'name' : 'Hill1948',
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'paras': 'Normalized [F, G, H, L, M, N]',
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'text' : '\nCoefficient of Hill1948 criterion:\n[F, G, H, L, M, N]:',
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'text' : '\nCoefficients of Hill1948 criterion:\n[F, G, H, L, M, N]:',
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'error': 'The standard deviation errors are: '
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},
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'drucker' :{'func' : Drucker,
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'num' : 2,'err':np.inf,
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'name' : 'Drucker',
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'paras': 'Initial yield stress, C_D:',
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'text' : '\nCoefficient of Drucker criterion:\nsigma0, C_D: ',
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'text' : '\nCoefficients of Drucker criterion:\nsigma0, C_D: ',
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'error': 'The standard deviation errors are: '
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},
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'barlat1991iso' :{'func' : Barlat1991iso,
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'num' : 2,'err':np.inf,
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'name' : 'Barlat1991iso',
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'paras': 'Initial yield stress, m:',
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'text' : '\nCoefficient of isotropic Barlat 1991 criterion:\nsigma0, m:\n',
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'text' : '\nCoefficients of isotropic Barlat 1991 criterion:\nsigma0, m:\n',
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'error': 'The standard deviation errors are: '
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},
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'barlat1991aniso':{'func' : Barlat1991aniso,
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'num' : 8,'err':np.inf,
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'name' : 'Barlat1991aniso',
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'paras': 'Initial yield stress, m, a, b, c, f, g, h:',
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'text' : '\nCoefficient of anisotropic Barlat 1991 criterion:\nsigma0, a, b, c, f, g, h, m:\n',
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'text' : '\nCoefficients of anisotropic Barlat 1991 criterion:\nsigma0, a, b, c, f, g, h, m:\n',
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'error': 'The standard deviation errors are: '
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},
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'bbc2003' :{'func' : BBC2003,
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'num' : 9,'err':np.inf,
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'name' : 'Barlat1991aniso',
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'paras': 'Initial yield stress, a, b, c, d, e, f, g, k:',
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'text' : '\nCoefficients of anisotropic Barlat 1991 criterion:\nsigma0, a, b, c, d, e, f, g, k:\n',
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'error': 'The standard deviation errors are: '
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},
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'Cazacu_Barlat2D':{'func' : Cazacu_Barlat2D,
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'num' : 12,'err':np.inf,
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'name' : 'Barlat1991aniso',
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'paras': 'Initial yield stress, a1,a2,a3,a6; b1,b2,b3,b4,b5,b10; c:',
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'text' : '\nCoefficients of Cazacu Barlat yield criterion for plane stress: \
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\n Y, a1,a2,a3,a6; b1,b2,b3,b4,b5,b10; c:\n',
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'error': 'The standard deviation errors are: '
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},
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'Cazacu_Barlat3D':{'func' : Cazacu_Barlat3D,
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'num' : 19,'err':np.inf,
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'name' : 'Barlat1991aniso',
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'paras': 'Initial yield stress, a1,a2,a3,a4,a5,a6; b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11; c:',
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'text' : '\nCoefficients of Cazacu Barlat yield criterion for plane stress: \
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\n Y, a1,a2,a3,a4,a5,a6; b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11; c\n',
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'error': 'The standard deviation errors are: '
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},
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'worst' :{'err':np.inf},
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