def setUp(self):
self.scalar = 2.5
self.vector = tensors.Vector(np.array([1.0, 2.0, 3.0]))
self.ranktwo = tensors.RankTwo(
np.array([[1.0, 2.0, 3.0], [4.0, 5.0, 6.0], [7.0, 8.0, 9.0]]))
self.symmetric = tensors.Symmetric(np.eye(3))
q = np.array([[1.0, 2.0, 3.0], [3.0, 4.0, 5.0], [6.0, 7.0, 8.0]])
q = 0.5 * (q - q.T)
self.skew = tensors.Skew(q)
self.orientation = rotations.Orientation(30.0,
60.0,
80.0,
angle_type="degrees")
self.hist1 = history.History()
self.hist2 = history.History(store=False)
self.add_all(self.hist1)
self.add_all(self.hist2)
self.storage = np.zeros((self.hist2.size, ))
self.hist2.set_data(self.storage)
self.set_all(self.hist1)
self.set_all(self.hist2)
def setUp(self):
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]]))
self.nslip = self.L.ntotal
self.current = -35.0
self.H = history.History()
for i in range(self.nslip):
self.H.add_scalar("strength" + str(i))
self.H.set_scalar("strength" + str(i), self.current)
self.T = 300.0
self.s = np.array([self.current] * self.nslip)
self.k = 1000.0
self.sat = 40.0
self.model = slipharden.FASlipHardening([self.k] * self.nslip,
[self.sat] * self.nslip)
self.g0 = 1.0
self.n = 3.0
self.sliprule = sliprules.PowerLawSlipRule(self.model, self.g0, self.n)
self.fixed = history.History()
def setUp(self):
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]]))
self.nslip = self.L.ntotal
self.static = 20.0
self.H = history.History()
self.T = 300.0
self.s0 = [self.static] * self.nslip
self.model = slipharden.FixedStrengthHardening(self.s0)
self.g0 = 1.0
self.n = 3.0
self.sliprule = sliprules.PowerLawSlipRule(self.model, self.g0, self.n)
self.fixed = history.History()
def setUp(self):
self.strength = 35.0
self.H = history.History()
self.H.add_scalar("strength")
self.H.set_scalar("strength", self.strength)
self.H.add_scalar("whatever")
self.H.set_scalar("whatever", 0.5)
self.tau0 = 10.0
self.tau_sat = 50.0
self.b = 2.5
self.strengthmodel = slipharden.VoceSlipHardening(
self.tau_sat, self.b, self.tau0)
self.g0 = 1.0
self.n = 3.0
self.slipmodel = sliprules.PowerLawSlipRule(self.strengthmodel,
self.g0, self.n)
self.imodel = inelasticity.AsaroInelasticity(self.slipmodel)
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]]))
self.T = 300.0
self.mu = 29000.0
self.E = 120000.0
self.nu = 0.3
self.emodel = elasticity.CubicLinearElasticModel(
self.E, self.nu, self.mu, "moduli")
self.dn = np.array([[4.1, 2.8, -1.2], [3.1, 7.1, 0.2], [4, 2, 3]])
self.dn = 0.5 * (self.dn + self.dn.T)
self.d = tensors.Symmetric(self.dn)
self.wn = np.array([[-9.36416517, 2.95527444, 8.70983194],
[-1.54693052, 8.7905658, -5.10895168],
[-8.52740468, -0.7741642, 2.89544992]])
self.wn = 0.5 * (self.wn - self.wn.T)
self.w = tensors.Skew(self.wn)
self.dmodel = crystaldamage.NilDamageModel()
self.model = kinematics.DamagedStandardKinematicModel(
self.emodel, self.imodel, self.dmodel)
self.fspin = self.model.spin(self.S, self.d, self.w, self.Q, self.H,
self.L, self.T, history.History())
self.fixed = self.model.decouple(self.S, self.d, self.w, self.Q,
self.H, self.L, self.T,
history.History())
def setUp(self):
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]]))
self.strength = 35.0
self.H = history.History()
self.H.add_scalar("strength")
self.H.set_scalar("strength", self.strength)
self.T = 300.0
self.tau0 = 10.0
self.tau_sat = 50.0
self.b = 2.5
self.strengthmodel = slipharden.VoceSlipHardening(
self.tau_sat, self.b, self.tau0)
self.strengths = [self.strengthmodel]
self.static = self.tau0
self.strength_values = [self.strength + self.static]
self.g0 = 1.0
self.n = 3.0
self.model = sliprules.PowerLawSlipRule(self.strengthmodel, self.g0,
self.n)
self.tau = 33.0
self.fixed = history.History()
def setUp(self):
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]]))
self.strength0 = 15.0
self.strength1 = 20.0
self.strength2 = 20.0
self.H = history.History()
self.H.add_scalar("strength_#0")
self.H.add_scalar("strength_#1")
self.H.add_scalar("strength_#2")
self.H.set_scalar("strength_#0", self.strength0)
self.H.set_scalar("strength_#1", self.strength1)
self.H.set_scalar("strength_#2", self.strength2)
self.T = 300.0
self.tau0_1 = 10.0
self.tau_sat_1 = 50.0
self.b_1 = 2.5
self.tau0_2 = 15.0
self.tau_sat_2 = 55.0
self.b_2 = 3.0
self.tau0_3 = 10.0
self.tau_sat_3 = 45.0
self.b_3 = 5.0
self.backstrength = slipharden.VoceSlipHardening(
self.tau_sat_1, self.b_1, self.tau0_1)
self.isostrength = slipharden.VoceSlipHardening(
self.tau_sat_2, self.b_2, self.tau0_2)
self.flowresistance = slipharden.VoceSlipHardening(
self.tau_sat_3, self.b_3, self.tau0_3)
self.strengths = [
self.backstrength, self.isostrength, self.flowresistance
]
self.strength_values = [
self.strength0 + self.tau0_1, self.strength1 + self.tau0_2,
self.strength2 + self.tau0_3
]
self.g0 = 1.0
self.n = 3.0
self.model = sliprules.KinematicPowerLawSlipRule(
self.backstrength, self.isostrength, self.flowresistance, self.g0,
self.n)
self.tau = 80.0
self.fixed = history.History()
def test_setup_history(self):
H1 = history.History()
self.model.populate_history(H1)
self.model.init_history(H1)
H2 = history.History()
self.imodel.populate_history(H2)
self.imodel.init_history(H2)
self.assertTrue(np.allclose(np.array(H1), np.array(H2)))
def test_init_hist(self):
H1 = history.History()
self.model.populate_history(H1)
self.model.init_history(H1)
H2 = history.History()
self.strengthmodel.populate_history(H2)
self.strengthmodel.init_history(H2)
self.assertTrue(np.allclose(np.array(H1), np.array(H2)))
def setUp(self):
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.nslip = self.L.ntotal
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]])) * 2
self.static = 20.0
self.s0 = [self.static] * self.nslip
self.k = 1000.0
self.sat = 40.0
self.m = 1.5
self.hmodel = slipharden.VocePerSystemHardening(
self.s0, [self.k] * self.nslip, [self.sat] * self.nslip,
[self.m] * self.nslip)
self.g0 = 1.0
self.n = 3.0
self.sliprule = sliprules.PowerLawSlipRule(self.hmodel, self.g0,
self.n)
self.T = 300.0
self.c = 10.0
self.beta = 2.0
self.dmodel = crystaldamage.WorkPlaneDamage()
self.nfunc = crystaldamage.SigmoidTransformation(self.c, self.beta)
self.sfunc = crystaldamage.SigmoidTransformation(self.c, self.beta)
self.model = crystaldamage.PlanarDamageModel(self.dmodel, self.sfunc,
self.nfunc, self.L)
self.huse = history.History()
self.hmodel.populate_history(self.huse)
self.model.populate_history(self.huse)
for i in range(12):
self.huse.set_scalar("strength" + str(i), 2.0)
for j in range(4):
self.huse.set_scalar("slip_damage_" + str(j), self.c * 0.4)
self.hbase = self.huse.subset(["strength" + str(i) for i in range(12)])
self.hdmg = self.huse.subset(
["slip_damage_" + str(i) for i in range(4)])
self.fixed = history.History()
def setUp(self):
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]])) * 3
self.H = history.History()
self.T = 300.0
E = 160000.0
nu = 0.31
self.g0 = 1.0e-4
self.n = 10.0
K = E / 50.0
s0 = 75.0
M = matrix.SquareMatrix(self.L.ntotal,
type="dense",
data=[K] * (self.L.ntotal * self.L.ntotal))
self.isostrength = slipharden.GeneralLinearHardening(M, [s0 / 2] *
self.L.ntotal,
absval=False)
self.flowresistance = slipharden.GeneralLinearHardening(M, [s0 / 2] *
self.L.ntotal,
absval=False)
self.backstrength = slipharden.GeneralLinearHardening(M, [0] *
self.L.ntotal,
absval=False)
self.strengths = [
self.backstrength, self.isostrength, self.flowresistance
]
self.model = sliprules.KinematicPowerLawSlipRule(
self.backstrength, self.isostrength, self.flowresistance, self.g0,
self.n)
self.model.populate_history(self.H)
self.model.init_history(self.H)
self.strength_values = np.linspace(0, 10, 36) + 5.0
self.H.copy_data(self.strength_values)
self.fixed = history.History()
def test_setup_history(self):
model_hist = history.History()
self.model.populate_history(model_hist)
self.model.init_history(model_hist)
manual_hist = history.History()
for strength in self.strengths:
Hs = history.History()
strength.populate_history(Hs)
strength.init_history(Hs)
manual_hist.add_union(Hs)
self.assertTrue(
np.allclose(np.array(model_hist), np.array(manual_hist)))
def setUp(self):
self.scalar1 = 2.0
self.scalar2 = 3.0
self.vector1 = tensors.Vector(np.array([1.0, 2.0, 3.0]))
self.hist1 = history.History()
self.hist1.add_scalar("a")
self.hist1.set_scalar("a", self.scalar1)
self.hist1.add_vector("b")
self.hist1.set_vector("b", self.vector1)
self.hist2 = history.History()
self.hist2.add_scalar("c")
self.hist2.set_scalar("c", self.scalar2)
def setUp(self):
self.hist = history.History(False)
self.hist.add_scalar("a")
self.hist.add_scalar("b")
self.hist.add_scalar("c")
self.data = np.array([1.0, 2.0, 3.0])
self.hist.set_data(self.data)
def setUp(self):
self.model = inelasticity.NoInelasticity()
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]]))
self.T = 300.0
self.H = history.History()
self.fixed = history.History()
def test_hist(self):
test = history.History()
self.model.populate_history(test)
self.assertEqual(test.size, 1)
self.assertEqual(test.items, ["whatever"])
self.model.init_history(test)
self.assertAlmostEqual(test.get_scalar("whatever"), 0.0)
def setUp(self):
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]]))
self.strength_0 = 35.0
self.strength_1 = -5.0
self.H = history.History()
self.H.add_scalar("strength0")
self.H.set_scalar("strength0", self.strength_0)
self.H.add_scalar("strength1")
self.H.set_scalar("strength1", self.strength_1)
self.T = 300.0
self.tau0_1 = 10.0
self.tau_sat_1 = 50.0
self.b_1 = 2.5
self.tau0_2 = 5.0
self.tau_sat_2 = -25.0
self.b_2 = 1.5
self.static = self.tau0_1 + self.tau0_2
self.strength = self.strength_0 + self.strength_1
self.model1 = slipharden.VoceSlipHardening(self.tau_sat_1, self.b_1,
self.tau0_1)
self.model2 = slipharden.VoceSlipHardening(self.tau_sat_2, self.b_2,
self.tau0_2)
self.model = slipharden.SumSlipSingleStrengthHardening(
[self.model1, self.model2])
self.g0 = 1.0
self.n = 3.0
self.sliprule = sliprules.PowerLawSlipRule(self.model, self.g0, self.n)
self.fixed = history.History()
self.nye = tensors.RankTwo([[1.1, 1.2, 1.3], [2.1, 2.2, 2.3],
[3.1, 3.2, 3.3]])
self.nye_part = 0.0
def setUp(self):
self.hist = history.History()
self.hist.add_scalar("a")
self.hist.add_vector("b")
self.hist.add_ranktwo("C")
self.hist.add_symmetric("D")
self.hist.add_skew("E")
self.hist.add_orientation("q")
def setUp(self):
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.nslip = self.L.ntotal
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]]))
self.static = 20.0
self.s0 = [self.static] * self.nslip
self.k = 1000.0
self.sat = 40.0
self.m = 1.5
self.hmodel = slipharden.VocePerSystemHardening(
self.s0, [self.k] * self.nslip, [self.sat] * self.nslip,
[self.m] * self.nslip)
self.g0 = 1.0
self.n = 3.0
self.sliprule = sliprules.PowerLawSlipRule(self.hmodel, self.g0,
self.n)
self.T = 300.0
self.model = crystaldamage.NilDamageModel()
self.huse = history.History()
self.hmodel.populate_history(self.huse)
self.model.populate_history(self.huse)
for i in range(12):
self.huse.set_scalar("strength" + str(i), 25.0)
self.huse.set_scalar("whatever", 0.5)
self.hbase = self.huse.subset(["strength" + str(i) for i in range(12)])
self.hdmg = self.huse.subset(["whatever"])
self.fixed = history.History()
def setUp(self):
self.hist = history.History()
self.hist.add_scalar("a")
self.hist.set_scalar("a", 1.0)
self.hist.add_scalar("b")
self.hist.set_scalar("b", 2.0)
self.hist.add_scalar("c")
self.hist.set_scalar("c", 3.0)
self.hist.add_scalar("d")
self.hist.set_scalar("d", 4.0)
def test_history_rate(self):
reference = self.model.hist_rate(self.S, self.Q, self.H, self.L,
self.T, self.fixed)
combined = history.History()
for strength in self.strengths:
combined.add_union(
strength.hist(self.S, self.Q, self.H, self.L, self.T,
self.model, self.fixed))
self.assertTrue(np.allclose(reference, combined))
def setUp(self):
self.vname = "strength"
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]]))
self.strength = 35.0
self.H = history.History()
self.H.add_scalar("strength")
self.H.set_scalar("strength", self.strength)
self.T = 300.0
self.tau0 = 10.0
self.tau_sat = 50.0
self.b = 2.5
self.static = self.tau0
self.k = 1.2
self.model = slipharden.VoceSlipHardening(self.tau_sat,
self.b,
self.tau0,
k=self.k)
self.g0 = 1.0
self.n = 3.0
self.sliprule = sliprules.PowerLawSlipRule(self.model, self.g0, self.n)
self.nye = tensors.RankTwo([[1.1, 1.2, 1.3], [2.1, 2.2, 2.3],
[3.1, 3.2, 3.3]])
self.nye_part = self.k * np.sqrt(
la.norm(self.nye.data.reshape((3, 3)), ord='fro'))
self.fixed = history.History()
self.fixed.add_ranktwo("nye")
self.fixed.set_ranktwo("nye", self.nye)
def setUp(self):
self.strength_0 = 35.0
self.H = history.History()
self.H.add_scalar("strength0")
self.H.set_scalar("strength0", self.strength_0)
self.strength_1 = 25.0
self.H.add_scalar("strength1")
self.H.set_scalar("strength1", self.strength_1)
self.tau0_0 = 10.0
self.tau_sat_0 = 50.0
self.b_0 = 2.5
self.tau0_1 = 5.0
self.tau_sat_1 = 25.0
self.b_1 = 1.0
self.strengthmodel = slipharden.SumSlipSingleStrengthHardening([
slipharden.VoceSlipHardening(self.tau_sat_0, self.b_0,
self.tau0_0),
slipharden.VoceSlipHardening(self.tau_sat_1, self.b_1, self.tau0_1)
])
self.g0 = 1.0
self.n = 3.0
self.slipmodel = sliprules.PowerLawSlipRule(self.strengthmodel,
self.g0, self.n)
self.model = inelasticity.AsaroInelasticity(self.slipmodel)
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]]))
self.T = 300.0
self.fixed = history.History()
def setUp(self):
self.A = 1.0e-5
self.n = 3.1
self.model1 = inelasticity.PowerLawInelasticity(self.A, self.n)
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]]))
self.T = 300.0
self.strength = 35.0
self.H = history.History()
self.H.add_scalar("strength")
self.H.set_scalar("strength", self.strength)
self.tau0 = 10.0
self.tau_sat = 50.0
self.b = 2.5
self.strengthmodel = slipharden.VoceSlipHardening(
self.tau_sat, self.b, self.tau0)
self.g0 = 1.0
self.n = 3.0
self.slipmodel = sliprules.PowerLawSlipRule(self.strengthmodel,
self.g0, self.n)
self.model2 = inelasticity.AsaroInelasticity(self.slipmodel)
self.model = inelasticity.CombinedInelasticity(
[self.model1, self.model2])
self.fixed = history.History()
def test_hist_rate(self):
h1 = self.model1.history_rate(self.S, self.Q, self.H, self.L, self.T,
self.fixed)
h2 = self.model2.history_rate(self.S, self.Q, self.H, self.L, self.T,
self.fixed)
h = self.model.history_rate(self.S, self.Q, self.H, self.L, self.T,
self.fixed)
h3 = history.History()
h3.add_union(h1)
h3.add_union(h2)
self.assertTrue(np.allclose(np.array(h), np.array(h3)))
def setUp(self):
self.scalar = 2.5
self.vector = tensors.Vector(np.array([1.0, 2.0, 3.0]))
self.ranktwo = tensors.RankTwo(
np.array([[1.0, 2.0, 3.0], [4.0, 5.0, 6.0], [7.0, 8.0, 9.0]]))
self.symmetric = tensors.Symmetric(np.eye(3))
q = np.array([[1.0, 2.0, 3.0], [3.0, 4.0, 5.0], [6.0, 7.0, 8.0]])
q = 0.5 * (q - q.T)
self.skew = tensors.Skew(q)
self.hist = history.History()
self.add_all(self.hist)
self.set_all(self.hist)
def setUp(self):
self.vname = "wee"
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]]))
self.strength = 35.0
self.H = history.History()
self.H.add_scalar(self.vname)
self.H.set_scalar(self.vname, self.strength)
self.T = 300.0
self.tau0 = 10.0
self.tau_sat = 50.0
self.b = 2.5
self.static = self.tau0
self.model = slipharden.VoceSlipHardening(self.tau_sat, self.b,
self.tau0)
self.model.set_varnames([self.vname])
self.g0 = 1.0
self.n = 3.0
self.sliprule = sliprules.PowerLawSlipRule(self.model, self.g0, self.n)
self.fixed = history.History()
self.nye = tensors.RankTwo([[1.1, 1.2, 1.3], [2.1, 2.2, 2.3],
[3.1, 3.2, 3.3]])
self.nye_part = 0.0
def setUp(self):
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]]))
self.nslip = self.L.ntotal
self.static = 20.0
self.current = 25.0
self.H = history.History()
for i in range(self.nslip):
self.H.add_scalar("strength" + str(i))
self.H.set_scalar("strength" + str(i), self.current)
self.T = 300.0
self.M = matrix.SquareMatrix(self.nslip,
type="block",
data=[0.1, 0.2, 0.3, 0.4],
blocks=[6, 6])
self.s0 = [self.static] * self.nslip
self.model = slipharden.GeneralLinearHardening(self.M,
self.s0,
absval=False)
self.g0 = 1.0
self.n = 3.0
self.sliprule = sliprules.PowerLawSlipRule(self.model, self.g0, self.n)
self.fixed = history.History()
def setUp(self):
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.nslip = self.L.ntotal
self.strength = 35.0
self.c = 10.0
self.beta = 2.0
self.H = history.History()
for i in range(12):
self.H.add_scalar("strength" + str(i))
self.H.set_scalar("strength" + str(i), self.strength)
for j in range(4):
self.H.add_scalar("slip_damage_" + str(j))
self.H.set_scalar("slip_damage_" + str(j), self.c * 0.4)
self.static = 20.0
self.s0 = [self.static] * self.nslip
self.k = 1000.0
self.sat = 40.0
self.m = 1.5
self.strengthmodel = slipharden.VocePerSystemHardening(
self.s0, [self.k] * self.nslip, [self.sat] * self.nslip,
[self.m] * self.nslip)
self.g0 = 1.0
self.n = 3.0
self.slipmodel = sliprules.PowerLawSlipRule(self.strengthmodel,
self.g0, self.n)
self.imodel = inelasticity.AsaroInelasticity(self.slipmodel)
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.S = tensors.Symmetric(
np.array([[100.0, -25.0, 10.0], [-25.0, -17.0, 15.0],
[10.0, 15.0, 35.0]]))
self.T = 300.0
self.mu = 29000.0
self.E = 120000.0
self.nu = 0.3
self.emodel = elasticity.CubicLinearElasticModel(
self.E, self.nu, self.mu, "moduli")
self.dn = np.array([[4.1, 2.8, -1.2], [3.1, 7.1, 0.2], [4, 2, 3]])
self.dn = 0.5 * (self.dn + self.dn.T)
self.d = tensors.Symmetric(self.dn)
self.wn = np.array([[-9.36416517, 2.95527444, 8.70983194],
[-1.54693052, 8.7905658, -5.10895168],
[-8.52740468, -0.7741642, 2.89544992]])
self.wn = 0.5 * (self.wn - self.wn.T)
self.w = tensors.Skew(self.wn)
self.dmodel = crystaldamage.WorkPlaneDamage()
self.nfunc = crystaldamage.SigmoidTransformation(self.c, self.beta)
self.sfunc = crystaldamage.SigmoidTransformation(self.c, self.beta)
self.dmodel = crystaldamage.PlanarDamageModel(self.dmodel, self.nfunc,
self.sfunc, self.L)
self.model = kinematics.DamagedStandardKinematicModel(
self.emodel, self.imodel, self.dmodel)
self.fspin = self.model.spin(self.S, self.d, self.w, self.Q, self.H,
self.L, self.T, history.History())
self.fixed = self.model.decouple(self.S, self.d, self.w, self.Q,
self.H, self.L, self.T,
history.History())
def dfn(w):
fixed = self.model.decouple(self.S, self.d, w, self.Q, self.H,
self.L, self.T, history.History())
return self.model.stress_rate(self.S, self.d, w, self.Q, self.H,
self.L, self.T, fixed)
def setUp(self):
self.tau0 = 10.0
self.tau_sat = 50.0
self.b = 2.5
self.strengthmodel = slipharden.VoceSlipHardening(
self.tau_sat, self.b, self.tau0)
self.g0 = 1.0
self.n = 3.0
self.slipmodel = sliprules.PowerLawSlipRule(self.strengthmodel,
self.g0, self.n)
self.imodel = inelasticity.AsaroInelasticity(self.slipmodel)
self.L = crystallography.CubicLattice(1.0)
self.L.add_slip_system([1, 1, 0], [1, 1, 1])
self.Q = rotations.Orientation(35.0, 17.0, 14.0, angle_type="degrees")
self.mu = 29000.0
self.E = 120000.0
self.nu = 0.3
self.emodel = elasticity.CubicLinearElasticModel(
self.E, self.nu, self.mu, "moduli")
self.kmodel = kinematics.StandardKinematicModel(
self.emodel, self.imodel)
self.model = singlecrystal.SingleCrystalModel(self.kmodel,
self.L,
initial_rotation=self.Q)
self.model_no_rot = singlecrystal.SingleCrystalModel(
self.kmodel,
self.L,
initial_rotation=self.Q,
update_rotation=False,
verbose=False)
self.T = 300.0
self.stress_n = np.array([120.0, -60.0, 170.0, 35.0, 80.0, -90.0])
self.stress_np1 = np.array([15.0, -40.0, 120.0, 70.0, -10.0, -50.0])
self.d = np.array([0.1, -0.2, 0.25, 0.11, -0.05, 0.075])
self.w = np.array([0.1, 0.2, -0.2])
self.strength_n = 25.0
self.strength_np1 = 30.0
self.S_np1 = tensors.Symmetric(common.usym(self.stress_np1))
self.S_n = tensors.Symmetric(common.usym(self.stress_n))
self.D = tensors.Symmetric(common.usym(self.d))
self.W = tensors.Skew(common.uskew(self.w))
self.strength_n = 25.0
self.strength_np1 = 30.0
self.H_n = history.History()
self.H_n.add_scalar("strength")
self.H_n.set_scalar("strength", self.strength_n)
self.H_np1 = history.History()
self.H_np1.add_scalar("strength")
self.H_np1.set_scalar("strength", self.strength_np1)
self.dt = 2.0
self.fixed = self.kmodel.decouple(self.S_n, self.D, self.W, self.Q,
self.H_n, self.L, self.T,
history.History())
self.ts = singlecrystal.SCTrialState(self.D, self.W, self.S_n,
self.H_n, self.Q, self.L, self.T,
self.dt, self.fixed)
self.x = np.zeros((self.model.nparams, ))
self.x[:6] = self.stress_np1
self.x[6] = self.strength_np1
self.Ddir = np.array([0.01, -0.005, -0.003, 0.01, 0.02, -0.003]) * 2
self.Wdir = np.array([0.02, -0.03, 0.01]) * 2
self.nsteps = 10