diff --git a/processing/misc/yieldSurface.py b/processing/misc/yieldSurface.py index 448fd2e4b..a47e28b18 100755 --- a/processing/misc/yieldSurface.py +++ b/processing/misc/yieldSurface.py @@ -33,7 +33,7 @@ def principalStresses(sigmas): ''' lambdas=np.zeros(0,'d') for i in xrange(np.shape(sigmas)[1]): - eigenvalues = np.linalg.eigvalsh(np.array(sigmas[:,i]).reshape(3,3)) + eigenvalues = np.linalg.eigvalsh(sym6to33(sigmas[:,i])) lambdas = np.append(lambdas,np.sort(eigenvalues)[::-1]) #append eigenvalues in descending order lambdas = np.transpose(lambdas.reshape(np.shape(sigmas)[1],3)) return lambdas @@ -54,6 +54,15 @@ def stressInvariants(lambdas): def formatOutput(n, type='%-14.6f'): return ''.join([type for i in xrange(n)]) +def sym6to33(sigma6): + ''' Shape the symmetric stress tensor(6,1) into (3,3) ''' + sigma33 = np.empty((3,3)) + sigma33[0,0] = sigma6[0]; sigma33[1,1] = sigma6[1]; sigma33[2,2] = sigma6[2]; + sigma33[0,1] = sigma6[3]; sigma33[1,0] = sigma6[3] + sigma33[1,2] = sigma6[4]; sigma33[2,1] = sigma6[4] + sigma33[2,0] = sigma6[5]; sigma33[0,2] = sigma6[5] + return sigma33 + def array2tuple(array): '''transform numpy.array into tuple''' try: @@ -125,12 +134,12 @@ def Hill1948(sigmas, F,G,H,L,M,N): ''' residuum of Hill 1948 quadratic yield criterion (eq. 2.48) ''' - r = F*(sigmas[4]-sigmas[8])**2.0\ - + G*(sigmas[8]-sigmas[0])**2.0\ - + H*(sigmas[0]-sigmas[4])**2.0\ - + 2.0*L* sigmas[5]**2.0\ - + 2.0*M* sigmas[2]**2.0\ - + 2.0*N* sigmas[1]**2.0\ + r = F*(sigmas[1]-sigmas[2])**2.0\ + + G*(sigmas[2]-sigmas[0])**2.0\ + + H*(sigmas[0]-sigmas[1])**2.0\ + + 2.0*L* sigmas[4]**2.0\ + + 2.0*M* sigmas[5]**2.0\ + + 2.0*N* sigmas[3]**2.0\ - 1.0 return r.ravel()/2.0 @@ -156,12 +165,13 @@ def Barlat1991(sigmas, sigma0, order, \ 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] + A = a*(sigmas[1] - sigmas[2]) + B = b*(sigmas[2] - sigmas[0]) + C = c*(sigmas[0] - sigmas[1]) + F = f*sigmas[4] + G = g*sigmas[5] + H = h*sigmas[3] + 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 @@ -398,23 +408,17 @@ def doSim(delay,thread): line = 0 lines = np.shape(table.data)[0] - yieldStress=[None for i in xrange(int(options.yieldValue[2]))] - #yieldStress=np.array([int(options.yieldValue[2],3,3),'d'] + yieldStress = np.empty((int(options.yieldValue[2]),6),'d') for i,threshold in enumerate(np.linspace(options.yieldValue[0],options.yieldValue[1],options.yieldValue[2])): while line < lines: if table.data[line,9]>= threshold: upper,lower = table.data[line,9],table.data[line-1,9] # values for linear interpolation - yieldStress[i] = table.data[line-1,0:9] * (upper-threshold)/(upper-lower) \ - + table.data[line ,0:9] * (threshold-lower)/(upper-lower) # linear interpolation of stress values - #yieldStress[i,:,:] = np.array(data[line-1,0:9] * (upper-threshold)/(upper-lower) \ - # + table.data[line ,0:9] * (threshold-lower)/(upper-lower)).reshape(3,3) # linear interpolation of stress values - # yieldStress[i,:,:]=0.5*(yieldStress[i,:,:]+np.transpose(yieldStress[i,:,:]) #symmetrize - yieldStress[i][1] = (yieldStress[i][1] + yieldStress[i][3])/2.0 - yieldStress[i][2] = (yieldStress[i][2] + yieldStress[i][6])/2.0 - yieldStress[i][5] = (yieldStress[i][5] + yieldStress[i][7])/2.0 - yieldStress[i][3] = yieldStress[i][1] - yieldStress[i][6] = yieldStress[i][2] - yieldStress[i][7] = yieldStress[i][5] + stress = np.array(table.data[line-1,0:9] * (upper-threshold)/(upper-lower) + \ + table.data[line ,0:9] * (threshold-lower)/(upper-lower)).reshape(3,3) # linear interpolation of stress values + yieldStress[i,0]= stress[0,0]; yieldStress[i,1]=stress[1,1]; yieldStress[i,2]=stress[2,2] + yieldStress[i,3]=(stress[0,1] + stress[1,0])/2.0 # 0 3 5 + yieldStress[i,4]=(stress[1,2] + stress[2,1])/2.0 # * 1 4 yieldStress + yieldStress[i,5]=(stress[2,0] + stress[0,2])/2.0 # * * 2 break else: line+=1 @@ -426,7 +430,7 @@ def doSim(delay,thread): try: for i in xrange(int(options.yieldValue[2])): stressAll[i]=np.append(yieldStress[i]/unitGPa,stressAll[i]) - myFit.fit(stressAll[i].reshape(len(stressAll[i])//9,9).transpose()) + myFit.fit(stressAll[i].reshape(len(stressAll[i])//6,6).transpose()) except Exception as detail: print('could not fit for sim %i from %s'%(me,thread)) print detail