def getKinematics( self , dphi , elstate ):
kin = Kinematics(self.rank,self.nstr)
kin.F = eye(self.rank)
for i in range(len(dphi)):
for j in range(self.rank):
for k in range(self.rank):
kin.F[j,k] += dphi[i,k]*elstate[self.rank*i+j]
kin.E = 0.5*(dot(kin.F.transpose(),kin.F)-eye(self.rank))
kin.strain[0] = kin.E[0,0]
kin.strain[1] = kin.E[1,1]
if self.rank == 2:
kin.strain[2] = 2.0*kin.E[0,1]
elif self.rank == 3:
kin.strain[2] = kin.E[2,2]
kin.strain[3] = 2.0*kin.E[1,2]
kin.strain[4] = 2.0*kin.E[0,2]
kin.strain[5] = 2.0*kin.E[0,1]
return kin
def getKinematics(self, dphi, elstate):
kin = Kinematics(2, 3)
kin.F = eye(2)
for i in range(len(dphi)):
for j in range(2):
for k in range(2):
kin.F[j, k] += dphi[i, k] * elstate[2 * i + j]
kin.E = 0.5 * (dot(kin.F.transpose(), kin.F) - eye(2))
kin.strain[0] = kin.E[0, 0]
kin.strain[1] = kin.E[1, 1]
kin.strain[2] = 2.0 * kin.E[0, 1]
return kin
def getKinematics( self , dphi , elstate ):
kin = Kinematics(2,3)
kin.F = eye(2)
for i in range(len(dphi)):
for j in range(2):
for k in range(2):
kin.F[j,k] += dphi[i,k]*elstate[2*i+j]
kin.E = 0.5*(dot(kin.F.transpose(),kin.F)-eye(2))
kin.strain[0] = kin.E[0,0]
kin.strain[1] = kin.E[1,1]
kin.strain[2] = 2.0*kin.E[0,1]
return kin
def getKinematics(self, dphi, h, elemdat, r):
kin = Kinematics(3, 6)
kin.F = eye(3)
kin.F0 = eye(3)
elstate = elemdat.state
elstate0 = elstate - elemdat.Dstate
invr = 1.0 / r
for i, (dp, p) in enumerate(zip(dphi, h)):
kin.F[0, 0] += dp[0] * elstate[2 * i]
kin.F[0, 1] += dp[1] * elstate[2 * i]
kin.F[1, 0] += dp[0] * elstate[2 * i + 1]
kin.F[1, 1] += dp[1] * elstate[2 * i + 1]
kin.F[2, 2] += p * elstate[2 * i] * invr
kin.F0[0, 0] += dp[0] * elstate0[2 * i]
kin.F0[0, 1] += dp[1] * elstate0[2 * i]
kin.F0[1, 0] += dp[0] * elstate0[2 * i + 1]
kin.F0[1, 1] += dp[1] * elstate0[2 * i + 1]
kin.F0[2, 2] += p * elstate0[2 * i] * invr
kin.E = 0.5 * (dot(kin.F.transpose(), kin.F) - eye(3))
kin.E0 = 0.5 * (dot(kin.F0.transpose(), kin.F0) - eye(3))
dE = kin.E - kin.E0
kin.strain[0] = kin.E[0, 0]
kin.strain[1] = kin.E[1, 1]
kin.strain[2] = kin.E[2, 2]
kin.strain[3] = 2.0 * kin.E[1, 2]
kin.strain[4] = 2.0 * kin.E[0, 2]
kin.strain[5] = 2.0 * kin.E[0, 1]
return kin