def H48toYld(rv=[2.2,2.0,2.9],m=6,iplot=False):
"""
Characterize yld2000-2D using Hill48.
1. First, characterize Hill48 using three r-values
2. Obtain RB, YB, and yield stresses in uniaxial
to characterize YLD2000-2D
3. Run YLD2000-2D and conduct uniaxial tension tests
and compare the r-value and yield stress profiles
as well as the plane-stress yield locus with Hill48
4. If iplot==True, the resulting plots are saved to
<yld2000fromH48.pdf>
5. Finally, return the chracterized yield function <yfunc_yld>
Arguments
=========
rv =[ 2.2, 2.0, 2.9]
m = 6
Return
------
yfunc_yld
"""
import tuneH48, yf2
import mk.tests.mechtests as mechtests
f,g,h,n = tuneH48.tuneGenR(r=rv)
yfunc_H48 = yf2.wrapHill48Gen(f,g,h,n)
locus_H48 = locus(yfunc_H48,30000)
psi_uni_H48, rvs_uni_H48, ys_uni_H48 \
= mechtests.inplaneTension(yfunc_H48,1)
y0, y90, yb, rb, y45, r45 = extractParamsFromYS(
locus_H48,psi_uni_H48,rvs_uni_H48,ys_uni_H48)
r_yld = [rv[0], rv[1], rv[2], rb]
y_yld = [ys_uni_H48[0], y45, ys_uni_H48[-1], yb]
yfunc_yld = yf2.wrapYLD(r=r_yld, y=y_yld, m=m)
if type(yfunc_yld).__name__=='int':
raise IOError
locus_yld = locus(yfunc_yld,30000)
psi_uni_yld, rvs_uni_yld, ys_uni_yld \
= mechtests.inplaneTension(yfunc_yld,1)
if iplot:
fig =plt.figure(figsize=(11,3.));
ax1=fig.add_subplot(131);ax2=fig.add_subplot(132)
ax3=fig.add_subplot(133)
ax1.plot(psi_uni_H48*180/np.pi,ys_uni_H48,label='Hill48')
ax2.plot(psi_uni_H48*180/np.pi,rvs_uni_H48,label='Hill48')
ax1.plot(psi_uni_yld*180/np.pi,ys_uni_yld,'--',label='YLD2000')
ax2.plot(psi_uni_yld*180/np.pi,rvs_uni_yld,'--',label='YLD2000')
ax3.plot(locus_H48[0],locus_H48[1],label='Hill48')
ax3.plot(locus_yld[0],locus_yld[1],'--',label='YLD2000')
ax1.legend(); ax2.legend(); ax3.legend()
ax3.set_xlim(0.,); ax3.set_ylim(0.,); ax3.set_aspect('equal')
fig.tight_layout()
fig.savefig('yld2000fromH48.pdf',bbox_to_inches='tight')
return yfunc_yld
def H48toYld_withYS(rv=[2.2, 2.0, 2.9], ys=[1, 1, 1], m=6, iopt=0):
"""
Characterize yld2000-2D in assistance of Hill48
This function accepets three r-values and three yield
stresses. YB and RB are obtained from Hill48 yield function
that is characterized by the given r-values.
Arguments
---------
rv = []
ys = []
m = 6
iopt=0
"""
import tuneH48, yf2
import mk.tests.mechtests as mechtests
f, g, h, n = tuneH48.tuneGenR(r=rv)
yfunc_H48 = yf2.wrapHill48Gen(f, g, h, n)
locus_H48 = locus(yfunc_H48, 30000)
psi_uni_H48, rvs_uni_H48, ys_uni_H48 \
= mechtests.inplaneTension(yfunc_H48,1)
y0, y90, yb, rb, y45, r45 = extractParamsFromYS(locus_H48, psi_uni_H48,
rvs_uni_H48, ys_uni_H48)
r_yld = [rv[0], rv[1], rv[2], rb]
y_yld = [ys[0], ys[1], ys[2], yb]
yfunc_yld = yf2.wrapYLD(r=r_yld, y=y_yld, m=m)
if type(yfunc_yld).__name__ == 'int':
raise IOError
if iopt == 0:
return yfunc_yld
elif iopt == 1:
return rb, yb
def objf(xs):
nth = len(rv)
psis_ref = np.linspace(0,np.pi/2.,nth)
f, g, h, n = xs
psis, rvs, phis = inplaneTension(fYLD=fYLD,f=f,g=g,h=h,n=n)
funcINT = interpolate.interp1d(x=psis,y=rvs)
rvs_ref = funcINT(psis_ref)
diff = np.sqrt(((rvs_ref - rv)**2).sum())/(nth-1.)
return diff
def test2(r0=2.20,r45=1.95,r90=2.9):
"""
uniaxial tension tests
Arguments
---------
r0 =2.1
r90 =2.7
"""
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
from mk.library.lib import rot
import numpy as np
from mk.tests.mechtests import inplaneTension
h48 = wrapHill48R([r0,r45,r90])
psis = np.linspace(0,+np.pi/2.,100)
## uniaxial tension stress state in the laboratory axes
sUniaxial=np.zeros(6)
sUniaxial[0]=1.
print '%6s %6s %6s %6s %6s %6s %6s %6s'%(
'th','phi','s11','s22','s12','s1','s2','s3')
psis, rvs, phis = inplaneTension(fYLD=h48)
fig = plt.figure(figsize=(10,3))
ax1 = fig.add_subplot(131)
ax2 = fig.add_subplot(132)
ax3 = fig.add_subplot(133)
import vm_check
ax2.plot(psis*180/np.pi,rvs)
ax3.plot(psis*180/np.pi,phis)
vm_check.main(ax=ax1)
ax2.set_ylabel(r'R value')
ax3.set_ylabel(r'$\Phi$')
fig.tight_layout()
for ax in [ax2,ax3]:
ax.set_xlabel(r'$\theta$ [deg] from RD')
ax.set_xticks(np.arange(0,90.001,30))
fn = 'yf2_test2.pdf'
fig.savefig(fn,bbox_inches='tight')
print '%s has been saved'%fn
def test2(r0=2.20, r45=1.95, r90=2.9):
"""
uniaxial tension tests
Arguments
---------
r0 =2.1
r90 =2.7
"""
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
from mk.library.lib import rot
import numpy as np
from mk.tests.mechtests import inplaneTension
h48 = wrapHill48R([r0, r45, r90])
psis = np.linspace(0, +np.pi / 2., 100)
## uniaxial tension stress state in the laboratory axes
sUniaxial = np.zeros(6)
sUniaxial[0] = 1.
print '%6s %6s %6s %6s %6s %6s %6s %6s' % ('th', 'phi', 's11', 's22',
's12', 's1', 's2', 's3')
psis, rvs, phis = inplaneTension(fYLD=h48)
fig = plt.figure(figsize=(10, 3))
ax1 = fig.add_subplot(131)
ax2 = fig.add_subplot(132)
ax3 = fig.add_subplot(133)
import vm_check
ax2.plot(psis * 180 / np.pi, rvs)
ax3.plot(psis * 180 / np.pi, phis)
vm_check.main(ax=ax1)
ax2.set_ylabel(r'R value')
ax3.set_ylabel(r'$\Phi$')
fig.tight_layout()
for ax in [ax2, ax3]:
ax.set_xlabel(r'$\theta$ [deg] from RD')
ax.set_xticks(np.arange(0, 90.001, 30))
fn = 'yf2_test2.pdf'
fig.savefig(fn, bbox_inches='tight')
print '%s has been saved' % fn
def H48toYld_withYS(
rv=[2.2,2.0,2.9],
ys=[1,1,1],
m=6,iopt=0):
"""
Characterize yld2000-2D in assistance of Hill48
This function accepets three r-values and three yield
stresses. YB and RB are obtained from Hill48 yield function
that is characterized by the given r-values.
Arguments
---------
rv = []
ys = []
m = 6
iopt=0
"""
import tuneH48, yf2
import mk.tests.mechtests as mechtests
f,g,h,n = tuneH48.tuneGenR(r=rv)
yfunc_H48 = yf2.wrapHill48Gen(f,g,h,n)
locus_H48 = locus(yfunc_H48,30000)
psi_uni_H48, rvs_uni_H48, ys_uni_H48 \
= mechtests.inplaneTension(yfunc_H48,1)
y0, y90, yb, rb, y45, r45 = extractParamsFromYS(
locus_H48,psi_uni_H48,rvs_uni_H48,ys_uni_H48)
r_yld = [rv[0], rv[1], rv[2], rb]
y_yld = [ys[0], ys[1], ys[2], yb]
yfunc_yld = yf2.wrapYLD(r=r_yld, y=y_yld, m=m)
if type(yfunc_yld).__name__=='int':
raise IOError
if iopt==0:
return yfunc_yld
elif iopt==1:
return rb,yb
def H48toYld(rv=[2.2, 2.0, 2.9], m=6, iplot=False):
"""
Characterize yld2000-2D using Hill48.
1. First, characterize Hill48 using three r-values
2. Obtain RB, YB, and yield stresses in uniaxial
to characterize YLD2000-2D
3. Run YLD2000-2D and conduct uniaxial tension tests
and compare the r-value and yield stress profiles
as well as the plane-stress yield locus with Hill48
4. If iplot==True, the resulting plots are saved to
<yld2000fromH48.pdf>
5. Finally, return the chracterized yield function <yfunc_yld>
Arguments
=========
rv =[ 2.2, 2.0, 2.9]
m = 6
Return
------
yfunc_yld
"""
import tuneH48, yf2
import mk.tests.mechtests as mechtests
f, g, h, n = tuneH48.tuneGenR(r=rv)
yfunc_H48 = yf2.wrapHill48Gen(f, g, h, n)
locus_H48 = locus(yfunc_H48, 30000)
psi_uni_H48, rvs_uni_H48, ys_uni_H48 \
= mechtests.inplaneTension(yfunc_H48,1)
y0, y90, yb, rb, y45, r45 = extractParamsFromYS(locus_H48, psi_uni_H48,
rvs_uni_H48, ys_uni_H48)
r_yld = [rv[0], rv[1], rv[2], rb]
y_yld = [ys_uni_H48[0], y45, ys_uni_H48[-1], yb]
yfunc_yld = yf2.wrapYLD(r=r_yld, y=y_yld, m=m)
if type(yfunc_yld).__name__ == 'int':
raise IOError
locus_yld = locus(yfunc_yld, 30000)
psi_uni_yld, rvs_uni_yld, ys_uni_yld \
= mechtests.inplaneTension(yfunc_yld,1)
if iplot:
fig = plt.figure(figsize=(11, 3.))
ax1 = fig.add_subplot(131)
ax2 = fig.add_subplot(132)
ax3 = fig.add_subplot(133)
ax1.plot(psi_uni_H48 * 180 / np.pi, ys_uni_H48, label='Hill48')
ax2.plot(psi_uni_H48 * 180 / np.pi, rvs_uni_H48, label='Hill48')
ax1.plot(psi_uni_yld * 180 / np.pi, ys_uni_yld, '--', label='YLD2000')
ax2.plot(psi_uni_yld * 180 / np.pi, rvs_uni_yld, '--', label='YLD2000')
ax3.plot(locus_H48[0], locus_H48[1], label='Hill48')
ax3.plot(locus_yld[0], locus_yld[1], '--', label='YLD2000')
ax1.legend()
ax2.legend()
ax3.legend()
ax3.set_xlim(0., )
ax3.set_ylim(0., )
ax3.set_aspect('equal')
fig.tight_layout()
fig.savefig('yld2000fromH48.pdf', bbox_to_inches='tight')
return yfunc_yld