def ipbiaxial(x0, eqincr, ftex, fsx, jobid, theta0):
"""
in-plane biaxial
theta in radian
x0 in radian
"""
filename = 'ipbiaxial_attemp_temp_%s'%str(jobid).zfill(4)
r = 1
x0 = x0[0]
x = cos(x0)*r
y = sin(x0)*r
x = round(x,9)
y = round(y,9)
z = -round(( x + y ),9)
histmaker(
filename=filename,
nstep = 1, ictrl = 7, eqincr= eqincr,
iudot=[[1,1,1],
[0,1,1],
[0,0,0]],
udot=[[x,0,0],
[0,y,0],
[0,0,z]],
iscau=[0,0,1,1,1,1],
scauchy=[0,0,0,0,0,0]
)
prcs = ['0',filename]
job = vpsc(prcs=prcs, texture=ftex, fsx=fsx,stp=1,jobid=jobid)
tmp = job.run()
dsx0=tmp['sbar'][0][0][0,0] - tmp['sbar'][0][0][2,2]
dsy0=tmp['sbar'][0][0][1,1] - tmp['sbar'][0][0][2,2]
dsx1=tmp['sbar'][0][1][0,0] - tmp['sbar'][0][1][2,2]
dsy1=tmp['sbar'][0][1][1,1] - tmp['sbar'][0][1][2,2]
dsx = dsx1-dsx0
dsy = dsy1-dsy0
os.system('clear')
print 'edotx=',x
print 'edoty=',y
print 'dsig_xx =', dsx
print 'dsig_yy =', dsy
theta1 = atan2(dsy, dsx) #radian
print 'theta1 (degree) = ', theta1*180./np.pi
return theta1-theta0*np.pi/180.
def xxxy(jobid=0, n=10,ftex=None,fsx=None,interaction=3, ifig=1):
"""
plane consisting of sig_{xx} and tau_{xy}
Yield locus in the xx-xy plane
"""
theta = np.linspace(0,360,n) * np.pi / 180.
filename=[]
tmp = 0
for i in range(n):
while True:
fn = 'hist/xxyy_%s_%s.hist'%(
str(jobid).zfill(4),
str(tmp).zfill(4))
if not(os.path.exists(fn)): break
tmp = tmp + 100
pass
tmp = tmp + 1
filename.append(fn)
pass
r = 1.0
x = cos(theta) * r #xx
y = sin(theta) * r #xy
z = -(x+y)
prcs = [ ]
for i in range(len(filename)):
prcs.append('0')
prcs.append(filename[i])
x[i] = round(x[i],4)
y[i] = round(y[i],4)
z[i] = round(-x[i],4)
if x[i]+z[i]!=0: raise IOError,'Non zero'
histmaker(
filename = filename[i],
nstep = 1, ictrl = 7, eqincr=0.005,
iudot=[[1,1,0],
[1,0,0],
[1,1,0]],
udot = [[x[i], y[i], 0],
[ 0, 0, 0],
[ 0, 0, z[i]]],
iscau = [0, 1, 1, 1, 1, 0],
scauchy = [0, 0, 0, 0, 0, 0],
)
pass
x = [ ] #sig_{xx}
y = [ ] #sig_{yy}
job=vp_f2py.vpsc(
texture=ftex, fsx=fsx, iupdate=[0,0,0,0], stp=0,
interaction=interaction,prcs=prcs, jobid=jobid)
tmpmaster = job.run()
sbar = tmpmaster['sbar']
dbar = tmpmaster['dbar']
sxx = [] ; dxx=[]
syy = [] ; dyy=[]
for i in range(len(filename)):
sxx.append(sbar[i][0][0,0] - sbar[i][0][2,2])
syy.append(sbar[i][0][0,1])
dxx.append(dbar[i][0][0,0])
dyy.append(dbar[i][0][0,1])
sxx.append(sxx[0])
syy.append(syy[0])
d=[]
for i in range(len(filename)):
d.append(atan2(dyy[i],dxx[i]))
pass
## plotting
fig = plt.figure(ifig); ax=fig.add_subplot(111)
ax.plot(sxx,syy,'.',label=r'$\sigma_{xx}-\sigma_{xy}$')
ax.set_xlabel(r'$\sigma_{xx}$', dict(fontsize=20))
ax.set_ylabel(r'$\sigma_{xy}$', dict(fontsize=20))
r = 30
for i in range(len(d)):
ax.plot(
[sxx[i],sxx[i]+r*cos(d[i])], #[x0,x1]
[syy[i],syy[i]+r*sin(d[i])], #[y0,y1]
color='gray', alpha=0.5, ls='-')
pass
## plotting
#return sbar, dbar
return sxx,syy
def xxyyxy(
jobid=0, n=10, m=3, ftex=None,
fsx=None, interaction=3, ifig=1
):
"""
Yield locus in the xx-yy-xy space
"""
from mpl_toolkits.mplot3d import axes3d, Axes3D
r=1.0
theta = np.linspace(0,360,n) * np.pi / 180.
phi = np.linspace(-89.99,89.99,m) * np.pi / 180.
filename=[]
tmp = 0
for i in range(n-1):
for j in range(m-1):
while True:
fn = 'hist/xxyy_%s_%s.hist'%(
str(jobid).zfill(4),
str(tmp).zfill(4))
if not(os.path.exists(fn)): break
tmp = tmp + 100
pass
tmp = tmp + 1
filename.append(fn)
pass
pass
for j in range(2):
while True:
fn = 'hist/xxyy_%s_%s.hist'%(
str(jobid).zfill(4),
str(tmp).zfill(4))
if not(os.path.exists(fn)): break
tmp = tmp + 100
pass
tmp = tmp + 1
filename.append(fn)
pass
## Velocity gradient imposition ----------------------------
xy=[];x=[];y=[]
for i in range(m+1): #Loop over xy axis (phi)
if i==0 or i==m:
if i==0: xy.append(1)
elif i==m: xy.append(-1)
x.append(0.)
y.append(0.)
pass
else:
temp = sin(phi[i]) * r
dd = cos(phi[i]) * r
for j in range(n-1):
xy.append(temp)
x.append(cos(theta[j])*dd)
y.append(sin(theta[j])*dd)
pass
pass
pass
x = np.array(x); y = np.array(y); xy = np.array(xy)
prcs = [ ]
for i in range(len(filename)):
prcs.append('0')
prcs.append(filename[i])
x[i] = round(x[i],9)
y[i] = round(y[i],9)
z = -x[i]-y[i]
histmaker(
filename = filename[i],
nstep = 1, ictrl = 7, eqincr=0.005,
iudot=[[1,1,0],
[1,1,0],
[1,1,0]],
udot = [[x[i], xy[i], 0],
[ 0, y[i], 0],
[ 0, 0, z]],
iscau = [0, 0, 1, 1, 1, 0],
scauchy = [0, 0, 0, 0, 0, 0],
)
pass
## -------------------------------------------------------
x = [ ] #sig_{xx}
y = [ ] #sig_{yy}
z = [ ] #sig_{xy}
job=vp_f2py.vpsc(
texture=ftex, fsx=fsx, iupdate=[0,0,0,0], stp=0,
interaction=interaction,prcs=prcs, jobid=jobid)
tmpmaster = job.run()
sbar = tmpmaster['sbar']; dbar = tmpmaster['dbar']
sxx = [] ; dxx=[]
syy = [] ; dyy=[]
sxy = [] ; dxy=[]
for i in range(len(filename)):
sxx.append(sbar[i][0][0,0] - sbar[i][0][2,2])
syy.append(sbar[i][0][1,1] - sbar[i][0][2,2])
sxy.append(sbar[i][0][0,1])
dxx.append(dbar[i][0][0,0])
dyy.append(dbar[i][0][1,1])
dxy.append(dbar[i][0][0,1])
pass
# sxx.append(sxx[0])
# syy.append(syy[0])
# sxy.append(sxy[0])
d = [] #strain rate angle (normal to yield surface)
t = []
for i in range(len(filename)):
norm = sqrt(dxx[i]**2+dyy[i]**2)
d.append(atan2(dyy[i],dxx[i]))
t.append(atan2(dxy[i],norm))
pass
## plotting
fig = plt.figure(ifig); #ax=fig.add_subplot(111)
ax = Axes3D(fig)
ax.plot(sxx, syy, sxy, '.', label=r'$\sigma_{xx}-\sigma_{yy}-\sigma_{xy}$')
ax.set_xlabel(r'$\sigma_{xx}$', dict(fontsize=20))
ax.set_ylabel(r'$\sigma_{yy}$', dict(fontsize=20))
ax.set_zlabel(r'$\sigma_{xy}$', dict(fontsize=20))
ax.set_axis_off()
r = 30
# for i in range(len(d)):
# ax.plot(
# [sxx[i],sxx[i]+cos(d[i])], #[x0,x1]
# [syy[i],syy[i]+sin(d[i])], #[y0,y1]
# [sxy[i],sxy[i]+tan(t[i])], #[z0,z1]
# color='gray', alpha=0.5, ls='-')
# pass
## plotting
return sxx,syy,sxy