class TestCookMembrane(KratosUnittest.TestCase):
def setUp(self):
self.print_output = False
self.print_results = False
def test_cook_membrane_2d(self):
results_filename = "cook_membrane_test/cook_membrane_results.json"
parameters_filename = "cook_membrane_test/cook_membrane_parameters.json"
with open(parameters_filename, 'r') as parameter_file:
parameters = KratosMultiphysics.Parameters(parameter_file.read())
model = KratosMultiphysics.Model()
simulation = StructuralMechanicsAnalysis(model, parameters)
simulation.Run()
# self._check_results(model_part, A, b)
if self.print_results:
self.__print_results(model, results_filename)
if self.print_output:
self.__post_process(
model.GetModelPart(parameters["solver_settings"]
["model_part_name"].GetString()))
self.__check_results(model, results_filename)
def test_cook_membrane_incompressible_2d(self):
results_filename = "cook_membrane_test/cook_membrane_incompressible_results.json"
parameters_filename = "cook_membrane_test/cook_membrane_parameters.json"
with open(parameters_filename, 'r') as parameter_file:
parameters = KratosMultiphysics.Parameters(parameter_file.read())
parameters["solver_settings"]["material_import_settings"][
"materials_filename"].SetString(
"cook_membrane_test/cook_membrane_incompressible_materials.json"
)
model = KratosMultiphysics.Model()
simulation = StructuralMechanicsAnalysis(model, parameters)
simulation.Run()
# self._check_results(model_part, A, b)
if self.print_results:
self.__print_results(model, results_filename)
if self.print_output:
self.__post_process(
model.GetModelPart(parameters["solver_settings"]
["model_part_name"].GetString()))
self.__check_results(model, results_filename)
def __print_results(self, model, results_filename):
json_output_settings = KratosMultiphysics.Parameters(r"""
{
"output_variables": ["DISPLACEMENT_X","DISPLACEMENT_Y","VOLUMETRIC_STRAIN"],
"output_file_name": "",
"time_frequency": 0.00,
"model_part_name": "cook_membrane.Parts_ResultsCheck"
}""")
json_output_settings["output_file_name"].SetString(results_filename)
self.json_output = JsonOutputProcess(model, json_output_settings)
self.json_output.ExecuteInitialize()
self.json_output.ExecuteBeforeSolutionLoop()
self.json_output.ExecuteFinalizeSolutionStep()
def __check_results(self, model, results_filename):
from_json_check_result_settings = KratosMultiphysics.Parameters(r"""
{
"check_variables": ["DISPLACEMENT_X","DISPLACEMENT_Y","VOLUMETRIC_STRAIN"],
"input_file_name": "",
"model_part_name": "cook_membrane.Parts_ResultsCheck"
}""")
from_json_check_result_settings["input_file_name"].SetString(
results_filename)
self.from_json_check_result = FromJsonCheckResultProcess(
model, from_json_check_result_settings)
self.from_json_check_result.ExecuteInitialize()
self.from_json_check_result.ExecuteFinalizeSolutionStep()
def __post_process(self, main_model_part, post_type="gid"):
if post_type == "gid":
self.gid_output = GiDOutputProcess(
main_model_part, main_model_part.Name,
KratosMultiphysics.Parameters(r"""
{
"result_file_configuration" : {
"gidpost_flags": {
"GiDPostMode": "GiD_PostBinary",
"WriteDeformedMeshFlag": "WriteUndeformed",
"WriteConditionsFlag": "WriteConditions",
"MultiFileFlag": "SingleFile"
},
"nodal_results" : ["DISPLACEMENT","VOLUMETRIC_STRAIN"],
"gauss_point_results" : []
}
}"""))
self.gid_output.ExecuteInitialize()
self.gid_output.ExecuteBeforeSolutionLoop()
self.gid_output.ExecuteInitializeSolutionStep()
self.gid_output.PrintOutput()
self.gid_output.ExecuteFinalizeSolutionStep()
self.gid_output.ExecuteFinalize()
elif post_type == "vtk":
vtk_output_parameters = KratosMultiphysics.Parameters(r"""
{
"model_part_name": "",
"extrapolate_gauss_points": false,
"nodal_solution_step_data_variables" : ["DISPLACEMENT","VOLUMETRIC_STRAIN"],
"gauss_point_variables": []
}""")
vtk_output_parameters["model_part_name"].SetString(
main_model_part.Name)
self.vtk_output_process = VtkOutputProcess(
main_model_part.GetModel(), vtk_output_parameters)
self.vtk_output_process.ExecuteInitialize()
self.vtk_output_process.ExecuteBeforeSolutionLoop()
self.vtk_output_process.ExecuteInitializeSolutionStep()
self.vtk_output_process.PrintOutput()
self.vtk_output_process.ExecuteFinalizeSolutionStep()
self.vtk_output_process.ExecuteFinalize()
class TestCheckNormals(KratosUnittest.TestCase):
def setUp(self):
pass
def _normal_check_process_tests(self,
input_filename,
custom_submodel_part=""):
KM.Logger.GetDefaultOutput().SetSeverity(KM.Logger.Severity.WARNING)
self.model = KM.Model()
self.main_model_part = self.model.CreateModelPart("Main", 2)
self.main_model_part.AddNodalSolutionStepVariable(KM.NORMAL)
self.main_model_part.CloneTimeStep(1.01)
KM.ModelPartIO(input_filename).ReadModelPart(self.main_model_part)
if custom_submodel_part == "":
KM.VariableUtils().SetFlag(
KM.INTERFACE, True,
self.main_model_part.GetSubModelPart(
"CONTACT_Contact_slave_Auto1").Nodes)
KM.VariableUtils().SetFlag(
KM.INTERFACE, True,
self.main_model_part.GetSubModelPart(
"CONTACT_Contact_master_Auto1").Nodes)
else:
KM.VariableUtils().SetFlag(
KM.INTERFACE, True,
self.main_model_part.GetSubModelPart(
custom_submodel_part).Nodes)
## DEBUG
#KM.ComputeNodesMeanNormalModelPart(self.main_model_part, True)
# Check normals
check_process = CSMA.NormalCheckProcess(self.main_model_part)
check_process.Execute()
## DEBUG
#self.__post_process()
check_parameters = KM.Parameters("""
{
"check_variables" : ["NORMAL"],
"input_file_name" : "",
"model_part_name" : "Main",
"check_for_flag" : "INTERFACE",
"historical_value" : true,
"time_frequency" : 0.0
}
""")
check_parameters["input_file_name"].SetString(input_filename +
"_check_normal.json")
check = from_json_check_result_process.FromJsonCheckResultProcess(
self.model, check_parameters)
check.ExecuteInitialize()
check.ExecuteBeforeSolutionLoop()
check.ExecuteFinalizeSolutionStep()
#out_parameters = KM.Parameters("""
#{
#"output_variables" : ["NORMAL"],
#"output_file_name" : "",
#"model_part_name" : "Main",
#"check_for_flag" : "INTERFACE",
#"historical_value" : true,
#"time_frequency" : 0.0
#}
#""")
#out_parameters["output_file_name"].SetString(input_filename + "_check_normal.json")
#out = json_output_process.JsonOutputProcess(self.model, out_parameters)
#out.ExecuteInitialize()
#out.ExecuteBeforeSolutionLoop()
#out.ExecuteFinalizeSolutionStep()
def test_check_normals(self):
input_filename = os.path.dirname(os.path.realpath(
__file__)) + "/auxiliar_files_for_python_unittest/inverted_normals"
self._normal_check_process_tests(input_filename)
def test_check_normals_quads(self):
input_filename = os.path.dirname(
os.path.realpath(__file__)
) + "/auxiliar_files_for_python_unittest/inverted_normals_quads"
self._normal_check_process_tests(input_filename)
def test_check_normals_s_shape(self):
input_filename = os.path.dirname(
os.path.realpath(__file__)
) + "/auxiliar_files_for_python_unittest/inverted_normals_s_shape"
self._normal_check_process_tests(input_filename,
"GENERIC_Contact_Auto1")
def __post_process(self, debug="GiD"):
if debug == "GiD":
self.gid_output = GiDOutputProcess(
self.main_model_part, "gid_output",
KM.Parameters("""
{
"result_file_configuration" : {
"gidpost_flags": {
"GiDPostMode": "GiD_PostBinary",
"WriteDeformedMeshFlag": "WriteUndeformed",
"MultiFileFlag": "SingleFile"
},
"nodal_results" : ["NORMAL"],
"nodal_nonhistorical_results": [],
"nodal_flags_results": ["INTERFACE"]
}
}
"""))
self.gid_output.ExecuteInitialize()
self.gid_output.ExecuteBeforeSolutionLoop()
self.gid_output.ExecuteInitializeSolutionStep()
self.gid_output.PrintOutput()
self.gid_output.ExecuteFinalizeSolutionStep()
self.gid_output.ExecuteFinalize()
elif debug == "VTK":
self.vtk_output_process = VtkOutputProcess(
self.model,
KM.Parameters("""{
"model_part_name" : "Main",
"nodal_solution_step_data_variables" : ["NORMAL"],
"nodal_data_value_variables": [],
"nodal_flags" : ["INTERFACE"]
}
"""))
self.vtk_output_process.ExecuteInitialize()
self.vtk_output_process.ExecuteBeforeSolutionLoop()
self.vtk_output_process.ExecuteInitializeSolutionStep()
self.vtk_output_process.PrintOutput()
self.vtk_output_process.ExecuteFinalizeSolutionStep()
self.vtk_output_process.ExecuteFinalize()
class TestPatchTestSmallDisplacementMixedVolumetricStrain(
KratosUnittest.TestCase):
def setUp(self):
self.tolerance = 1.0e-6
self.print_output = True
def _add_variables(self, ModelPart):
ModelPart.AddNodalSolutionStepVariable(KratosMultiphysics.DISPLACEMENT)
ModelPart.AddNodalSolutionStepVariable(
KratosMultiphysics.VOLUMETRIC_STRAIN)
ModelPart.AddNodalSolutionStepVariable(
KratosMultiphysics.VOLUME_ACCELERATION)
ModelPart.AddNodalSolutionStepVariable(KratosMultiphysics.REACTION)
ModelPart.AddNodalSolutionStepVariable(
KratosMultiphysics.REACTION_FLUX)
def _apply_BCs(self, ModelPart, A, b):
for node in ModelPart.Nodes:
node.Fix(KratosMultiphysics.DISPLACEMENT_X)
node.Fix(KratosMultiphysics.DISPLACEMENT_Y)
node.Fix(KratosMultiphysics.DISPLACEMENT_Z)
x_vec = KratosMultiphysics.Vector(3)
x_vec[0] = node.X0
x_vec[1] = node.Y0
x_vec[2] = node.Z0
u = A * x_vec
u += b
node.SetSolutionStepValue(KratosMultiphysics.DISPLACEMENT, 0, u)
def _apply_material_properties(self, ModelPart, Dimension):
# Define material properties
ModelPart.GetProperties()[1].SetValue(KratosMultiphysics.YOUNG_MODULUS,
200.0e9)
ModelPart.GetProperties()[1].SetValue(KratosMultiphysics.POISSON_RATIO,
0.4)
ModelPart.GetProperties()[1].SetValue(KratosMultiphysics.DENSITY, 1.0)
# Define body force
g = [0, 0, 0]
ModelPart.GetProperties()[1].SetValue(
KratosMultiphysics.VOLUME_ACCELERATION, g)
# Define constitutive law
if (Dimension == 2):
cons_law = StructuralMechanicsApplication.LinearElasticPlaneStrain2DLaw(
)
else:
cons_law = StructuralMechanicsApplication.LinearElastic3DLaw()
ModelPart.GetProperties()[1].SetValue(
KratosMultiphysics.CONSTITUTIVE_LAW, cons_law)
def _apply_user_provided_material_properties(self, ModelPart, Dimension):
# Define body force
g = [0, 0, 0]
ModelPart.GetProperties()[1].SetValue(
KratosMultiphysics.VOLUME_ACCELERATION, g)
# Define constitutive law
if (Dimension == 2):
cons_law = StructuralMechanicsApplication.UserProvidedLinearElastic2DLaw(
)
else:
cons_law = StructuralMechanicsApplication.UserProvidedLinearElastic3DLaw(
)
ModelPart.GetProperties()[1].SetValue(
KratosMultiphysics.CONSTITUTIVE_LAW, cons_law)
def _define_movement(self, Dimension):
if (Dimension == 2):
#define the applied motion - the idea is that the displacement is defined as u = A*xnode + b
#so that the displcement is linear and the exact F = I + A
A = KratosMultiphysics.Matrix(3, 3)
A[0, 0] = 1.0e-10
A[0, 1] = 2.0e-10
A[0, 2] = 0.0
A[1, 0] = 0.5e-10
A[1, 1] = 0.7e-10
A[1, 2] = 0.0
A[2, 0] = 0.0
A[2, 1] = 0.0
A[2, 2] = 0.0
b = KratosMultiphysics.Vector(3)
b[0] = 0.5e-10
b[1] = -0.2e-10
b[2] = 0.0
else:
#define the applied motion - the idea is that the displacement is defined as u = A*xnode + b
#so that the displcement is linear and the exact F = I + A
A = KratosMultiphysics.Matrix(3, 3)
A[0, 0] = 1.0e-10
A[0, 1] = 2.0e-10
A[0, 2] = 0.0
A[1, 0] = 0.5e-10
A[1, 1] = 0.7e-10
A[1, 2] = 0.1e-10
A[2, 0] = -0.2e-10
A[2, 1] = 0.0
A[2, 2] = -0.3e-10
b = KratosMultiphysics.Vector(3)
b[0] = 0.5e-10
b[1] = -0.2e-10
b[2] = 0.7e-10
return A, b
def _solve(self, ModelPart):
# Define a linear strategy to solve the problem
linear_solver = KratosMultiphysics.SkylineLUFactorizationSolver()
builder_and_solver = KratosMultiphysics.ResidualBasedBlockBuilderAndSolver(
linear_solver)
scheme = KratosMultiphysics.ResidualBasedIncrementalUpdateStaticScheme(
)
compute_reactions = True
reform_step_dofs = True
calculate_norm_dx = False
move_mesh_flag = True
strategy = KratosMultiphysics.ResidualBasedLinearStrategy(
ModelPart, scheme, builder_and_solver, compute_reactions,
reform_step_dofs, calculate_norm_dx, move_mesh_flag)
strategy.SetEchoLevel(0)
strategy.Check()
# Solve the problem
strategy.Solve()
def _check_results(self, ModelPart, A, b):
# Check that the results are exact on the nodes
for node in ModelPart.Nodes:
x_vec = KratosMultiphysics.Vector(3)
x_vec[0] = node.X0
x_vec[1] = node.Y0
x_vec[2] = node.Z0
u = A * x_vec
u += b
coor_list = ["X", "Y", "Z"]
d = node.GetSolutionStepValue(KratosMultiphysics.DISPLACEMENT)
for i in range(3):
if abs(u[i]) > 0.0:
error = (d[i] - u[i]) / u[i]
if error > self.tolerance:
print("NODE ", node.Id, ": Component ", coor_list[i],
":\t", u[i], "\t", d[i], "\tError: ", error)
self.assertLess(error, self.tolerance)
def _calculate_reference_strain(self, A, dim):
# Given the matrix A, the analytic deformation gradient is F+I
F = A
for i in range(3):
F[i, i] += 1.0
# Here compute the Cauchy Green strain tensor
cauchy_green_strain_tensor = KratosMultiphysics.Matrix(3, 3)
for i in range(3):
for j in range(3):
cauchy_green_strain_tensor[i, j] = 0.0
for i in range(3):
for j in range(3):
for k in range(3):
cauchy_green_strain_tensor[i, j] += F[k, i] * F[k, j]
for i in range(3):
cauchy_green_strain_tensor[i, i] -= 1.0
for i in range(3):
for j in range(3):
cauchy_green_strain_tensor[
i, j] = 0.5 * cauchy_green_strain_tensor[i, j]
# Cauchy Green strain tensor in Voigt notation
if (dim == 2):
reference_strain = KratosMultiphysics.Vector(3)
reference_strain[0] = cauchy_green_strain_tensor[0, 0]
reference_strain[1] = cauchy_green_strain_tensor[1, 1]
reference_strain[2] = 2.0 * cauchy_green_strain_tensor[0, 1]
else:
reference_strain = KratosMultiphysics.Vector(6)
reference_strain[0] = cauchy_green_strain_tensor[0, 0]
reference_strain[1] = cauchy_green_strain_tensor[1, 1]
reference_strain[2] = cauchy_green_strain_tensor[2, 2]
reference_strain[3] = 2.0 * cauchy_green_strain_tensor[0, 1]
reference_strain[4] = 2.0 * cauchy_green_strain_tensor[1, 2]
reference_strain[5] = 2.0 * cauchy_green_strain_tensor[0, 2]
return reference_strain
def _check_stress(self, model_part, A, dim):
# Calculate the reference strain
reference_strain = self._calculate_reference_strain(A, dim)
young = model_part.GetProperties()[1].GetValue(
KratosMultiphysics.YOUNG_MODULUS)
poisson = model_part.GetProperties()[1].GetValue(
KratosMultiphysics.POISSON_RATIO)
# Finally compute stress
if (dim == 2):
#here assume plane stress
c1 = young / (1.00 - poisson * poisson)
c2 = c1 * poisson
c3 = 0.5 * young / (1 + poisson)
reference_stress = KratosMultiphysics.Vector(3)
reference_stress[0] = c1 * reference_strain[0] + c2 * (
reference_strain[1])
reference_stress[1] = c1 * reference_strain[1] + c2 * (
reference_strain[0])
reference_stress[2] = c3 * reference_strain[2]
else:
c1 = young / ((1.00 + poisson) * (1 - 2 * poisson))
c2 = c1 * (1 - poisson)
c3 = c1 * poisson
c4 = c1 * 0.5 * (1 - 2 * poisson)
reference_stress = KratosMultiphysics.Vector(6)
reference_stress[0] = c2 * reference_strain[0] + c3 * (
reference_strain[1] + reference_strain[2])
reference_stress[1] = c2 * reference_strain[1] + c3 * (
reference_strain[0] + reference_strain[2])
reference_stress[2] = c2 * reference_strain[2] + c3 * (
reference_strain[0] + reference_strain[1])
reference_stress[3] = c4 * reference_strain[3]
reference_stress[4] = c4 * reference_strain[4]
reference_stress[5] = c4 * reference_strain[5]
for elem in model_part.Elements:
out = elem.CalculateOnIntegrationPoints(
KratosMultiphysics.PK2_STRESS_VECTOR, model_part.ProcessInfo)
for stress in out:
for i in range(len(reference_stress)):
if abs(stress[i]) > 0.0:
self.assertLess(
(reference_stress[i] - stress[i]) / stress[i],
self.tolerance)
def _check_stress_user_provided(self, model_part, A, dim):
# Calculate the reference strain
reference_strain = self._calculate_reference_strain(A, dim)
# Finally compute stress
elasticity_tensor = model_part.GetProperties()[1].GetValue(
StructuralMechanicsApplication.ELASTICITY_TENSOR)
reference_stress = elasticity_tensor * reference_strain
for elem in model_part.Elements:
out = elem.CalculateOnIntegrationPoints(
KratosMultiphysics.PK2_STRESS_VECTOR, model_part.ProcessInfo)
for stress in out:
for i in range(len(reference_stress)):
if abs(stress[i]) > 0.0:
self.assertLess(
(reference_stress[i] - stress[i]) / stress[i],
self.tolerance)
def testSmallDisplacementMixedVolumetricStrainElement2DTriangle(self):
dimension = 2
current_model = KratosMultiphysics.Model()
model_part = current_model.CreateModelPart("MainModelPartTriangle")
self._add_variables(model_part)
self._apply_material_properties(model_part, dimension)
# Create nodes
model_part.CreateNewNode(1, 0.5, 0.5, 0.0)
model_part.CreateNewNode(2, 0.7, 0.2, 0.0)
model_part.CreateNewNode(3, 0.9, 0.8, 0.0)
model_part.CreateNewNode(4, 0.3, 0.7, 0.0)
model_part.CreateNewNode(5, 0.6, 0.6, 0.0)
# Add DOFs
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.DISPLACEMENT_X, KratosMultiphysics.REACTION_X,
model_part)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.DISPLACEMENT_Y, KratosMultiphysics.REACTION_Y,
model_part)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.DISPLACEMENT_Z, KratosMultiphysics.REACTION_Z,
model_part)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.VOLUMETRIC_STRAIN,
KratosMultiphysics.REACTION_FLUX, model_part)
# Create a submodelpart for boundary conditions
boundary_model_part = model_part.CreateSubModelPart(
"BoundaryCondtions")
boundary_model_part.AddNodes([1, 2, 3, 4])
# Create elements
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement2D3N", 1, [1, 2, 5],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement2D3N", 2, [2, 3, 5],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement2D3N", 3, [3, 4, 5],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement2D3N", 4, [4, 1, 5],
model_part.GetProperties()[1])
A, b = self._define_movement(dimension)
self._apply_BCs(boundary_model_part, A, b)
self._solve(model_part)
self._check_results(model_part, A, b)
self._check_stress(model_part, A, dimension)
if self.print_output:
self.__post_process(model_part)
def testSmallDisplacementMixedVolumetricStrainElement3DTetrahedra(self):
dimension = 3
current_model = KratosMultiphysics.Model()
model_part = current_model.CreateModelPart("MainModelPartTetrahedra")
self._add_variables(model_part)
self._apply_material_properties(model_part, dimension)
#create nodes
model_part.CreateNewNode(1, 0.0, 1.0, 0.0)
model_part.CreateNewNode(2, 0.0, 1.0, 0.1)
model_part.CreateNewNode(3, 0.28739360416666665, 0.27808503701741405,
0.05672979583333333)
model_part.CreateNewNode(4, 0.0, 0.1, 0.0)
model_part.CreateNewNode(5, 0.1, 0.1, 0.1)
model_part.CreateNewNode(6, 1.0, 0.0, 0.0)
model_part.CreateNewNode(7, 1.2, 0.0, 0.1)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.DISPLACEMENT_X, KratosMultiphysics.REACTION_X,
model_part)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.DISPLACEMENT_Y, KratosMultiphysics.REACTION_Y,
model_part)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.DISPLACEMENT_Z, KratosMultiphysics.REACTION_Z,
model_part)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.VOLUMETRIC_STRAIN,
KratosMultiphysics.REACTION_FLUX, model_part)
#create a submodelpart for boundary conditions
boundary_model_part = model_part.CreateSubModelPart(
"BoundaryCondtions")
boundary_model_part.AddNodes([1, 2, 4, 5, 6, 7])
#create Element
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 1,
[5, 3, 1, 2],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 2,
[3, 1, 2, 6],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 3,
[6, 4, 7, 3],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 4,
[5, 4, 1, 3],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 5,
[4, 1, 3, 6],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 6,
[5, 4, 3, 7],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 7,
[3, 5, 7, 2],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 8,
[6, 7, 2, 3],
model_part.GetProperties()[1])
A, b = self._define_movement(dimension)
self._apply_BCs(boundary_model_part, A, b)
self._solve(model_part)
self._check_results(model_part, A, b)
self._check_stress(model_part, A, dimension)
if self.print_output:
self.__post_process(model_part)
def testSmallDisplacementMixedVolumetricStrainElement3DTetrahedraAnisotropic(
self):
dimension = 3
current_model = KratosMultiphysics.Model()
model_part = current_model.CreateModelPart("MainModelPartTetrahedra")
self._add_variables(model_part)
self._apply_user_provided_material_properties(model_part, dimension)
#set the user-provided anisotropic elasticity tensor
elasticity_tensor = KratosMultiphysics.Matrix(6, 6)
# for i in range(6):
# for j in range(6):
# elasticity_tensor[i,j] = 0.0
# E = 2.0e11
# NU = 0.3
# c1 = E / (( 1.00 + NU ) * ( 1 - 2 * NU ) );
# c2 = c1 * ( 1 - NU );
# c3 = c1 * NU;
# c4 = c1 * 0.5 * ( 1 - 2 * NU );
# elasticity_tensor[0, 0] = c2;
# elasticity_tensor[0, 1] = c3;
# elasticity_tensor[0, 2] = c3;
# elasticity_tensor[1, 0] = c3;
# elasticity_tensor[1, 1] = c2;
# elasticity_tensor[1, 2] = c3;
# elasticity_tensor[2, 0] = c3;
# elasticity_tensor[2, 1] = c3;
# elasticity_tensor[2, 2] = c2;
# elasticity_tensor[3, 3] = c4;
# elasticity_tensor[4, 4] = c4;
# elasticity_tensor[5, 5] = c4;
aux_elasticity_tensor = [
[5.99E+11, 5.57E+11, 5.34E+11, 0, 0, 4.44E+09],
[5.57E+11, 5.71E+11, 5.34E+11, 0, 0, -3.00E+09],
[5.34E+11, 5.34E+11, 5.37E+11, 0, 0, 9.90E+05],
[0, 0, 0, 1.92E+09, 9.78E+06, 0], [0, 0, 0, 9.78E+06, 2.12E+09, 0],
[4.44E+09, -3.00E+09, 9.90E+05, 0, 0, 2.56E+10]
]
for i in range(6):
for j in range(6):
elasticity_tensor[i, j] = aux_elasticity_tensor[i][j]
# T = KratosMultiphysics.Matrix(6,6)
# T.fill(0.0)
# aux_E = 0.0
# aux_G = 0.0
# for i in range(6):
# if i < 3:
# aux_E += elasticity_tensor[i,i]
# else:
# aux_G += elasticity_tensor[i,i]
# aux_E /= 3.0
# aux_G /= 3.0
# for i in range(6):
# if i < 3:
# T[i,i] = math.sqrt(aux_E/elasticity_tensor[i,i])
# else:
# T[i,i] = math.sqrt(aux_G/elasticity_tensor[i,i])
# elasticity_tensor = T * elasticity_tensor * T
model_part.GetProperties()[1].SetValue(
StructuralMechanicsApplication.ELASTICITY_TENSOR,
elasticity_tensor)
#create nodes
model_part.CreateNewNode(1, 0.0, 1.0, 0.0)
model_part.CreateNewNode(2, 0.0, 1.0, 0.1)
model_part.CreateNewNode(3, 0.28739360416666665, 0.27808503701741405,
0.05672979583333333)
model_part.CreateNewNode(4, 0.0, 0.1, 0.0)
model_part.CreateNewNode(5, 0.1, 0.1, 0.1)
model_part.CreateNewNode(6, 1.0, 0.0, 0.0)
model_part.CreateNewNode(7, 1.2, 0.0, 0.1)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.DISPLACEMENT_X, KratosMultiphysics.REACTION_X,
model_part)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.DISPLACEMENT_Y, KratosMultiphysics.REACTION_Y,
model_part)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.DISPLACEMENT_Z, KratosMultiphysics.REACTION_Z,
model_part)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.VOLUMETRIC_STRAIN,
KratosMultiphysics.REACTION_FLUX, model_part)
#create a submodelpart for boundary conditions
boundary_model_part = model_part.CreateSubModelPart(
"BoundaryCondtions")
boundary_model_part.AddNodes([1, 2, 4, 5, 6, 7])
#create Element
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 1,
[5, 3, 1, 2],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 2,
[3, 1, 2, 6],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 3,
[6, 4, 7, 3],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 4,
[5, 4, 1, 3],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 5,
[4, 1, 3, 6],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 6,
[5, 4, 3, 7],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 7,
[3, 5, 7, 2],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 8,
[6, 7, 2, 3],
model_part.GetProperties()[1])
A, b = self._define_movement(dimension)
self._apply_BCs(boundary_model_part, A, b)
self._solve(model_part)
if self.print_output:
self.__post_process(model_part)
self._check_results(model_part, A, b)
self._check_stress_user_provided(model_part, A, dimension)
def __post_process(self, main_model_part, post_type="gid"):
if post_type == "gid":
self.gid_output = GiDOutputProcess(
main_model_part, main_model_part.Name,
KratosMultiphysics.Parameters(r"""
{
"result_file_configuration" : {
"gidpost_flags": {
"GiDPostMode": "GiD_PostBinary",
"WriteDeformedMeshFlag": "WriteUndeformed",
"WriteConditionsFlag": "WriteConditions",
"MultiFileFlag": "SingleFile"
},
"nodal_results" : ["DISPLACEMENT","VOLUMETRIC_STRAIN"],
"gauss_point_results" : ["CAUCHY_STRESS_VECTOR"]
}
}"""))
self.gid_output.ExecuteInitialize()
self.gid_output.ExecuteBeforeSolutionLoop()
self.gid_output.ExecuteInitializeSolutionStep()
self.gid_output.PrintOutput()
self.gid_output.ExecuteFinalizeSolutionStep()
self.gid_output.ExecuteFinalize()
elif post_type == "vtk":
vtk_output_parameters = KratosMultiphysics.Parameters(r"""
{
"model_part_name": "",
"extrapolate_gauss_points": false,
"nodal_solution_step_data_variables" : ["DISPLACEMENT","VOLUMETRIC_STRAIN"],
"gauss_point_variables": ["CAUCHY_STRESS_VECTOR"]
}""")
vtk_output_parameters["model_part_name"].SetString(
main_model_part.Name)
self.vtk_output_process = VtkOutputProcess(
main_model_part.GetModel(), vtk_output_parameters)
self.vtk_output_process.ExecuteInitialize()
self.vtk_output_process.ExecuteBeforeSolutionLoop()
self.vtk_output_process.ExecuteInitializeSolutionStep()
self.vtk_output_process.PrintOutput()
self.vtk_output_process.ExecuteFinalizeSolutionStep()
self.vtk_output_process.ExecuteFinalize()
class TestPatchTestSmallStrain(KratosUnittest.TestCase):
def setUp(self):
pass
def _add_variables(self,mp):
mp.AddNodalSolutionStepVariable(KratosMultiphysics.DISPLACEMENT)
mp.AddNodalSolutionStepVariable(KratosMultiphysics.REACTION)
mp.AddNodalSolutionStepVariable(KratosMultiphysics.VOLUME_ACCELERATION)
def _apply_BCs(self,mp,A,b):
for node in mp.Nodes:
node.Fix(KratosMultiphysics.DISPLACEMENT_X)
node.Fix(KratosMultiphysics.DISPLACEMENT_Y)
node.Fix(KratosMultiphysics.DISPLACEMENT_Z)
for node in mp.Nodes:
xvec = KratosMultiphysics.Vector(3)
xvec[0] = node.X0
xvec[1] = node.Y0
xvec[2] = node.Z0
u = A*xvec
u += b
node.SetSolutionStepValue(KratosMultiphysics.DISPLACEMENT,0,u)
def _apply_material_properties(self,mp,dim):
#define properties
mp.GetProperties()[1].SetValue(KratosMultiphysics.YOUNG_MODULUS,210e9)
mp.GetProperties()[1].SetValue(KratosMultiphysics.POISSON_RATIO,0.3)
mp.GetProperties()[1].SetValue(KratosMultiphysics.THICKNESS,1.0)
mp.GetProperties()[1].SetValue(KratosMultiphysics.DENSITY,1.0)
#mp.GetProperties()[1].SetValue(StructuralMechanicsApplication.INTEGRATION_ORDER,5)
g = [0,0,0]
mp.GetProperties()[1].SetValue(KratosMultiphysics.VOLUME_ACCELERATION,g)
if(dim == 2):
cl = StructuralMechanicsApplication.LinearElasticPlaneStress2DLaw()
else:
cl = StructuralMechanicsApplication.LinearElastic3DLaw()
mp.GetProperties()[1].SetValue(KratosMultiphysics.CONSTITUTIVE_LAW,cl)
def _define_movement(self,dim):
if(dim == 2):
#define the applied motion - the idea is that the displacement is defined as u = A*xnode + b
#so that the displcement is linear and the exact F = I + A
A = KratosMultiphysics.Matrix(3,3)
A[0,0] = 1.0e-10; A[0,1] = 2.0e-10; A[0,2] = 0.0
A[1,0] = 0.5e-10; A[1,1] = 0.7e-10; A[1,2] = 0.0
A[2,0] = 0.0; A[2,1] = 0.0; A[2,2] = 0.0
b = KratosMultiphysics.Vector(3)
b[0] = 0.5e-10
b[1] = -0.2e-10
b[2] = 0.0
else:
#define the applied motion - the idea is that the displacement is defined as u = A*xnode + b
#so that the displcement is linear and the exact F = I + A
A = KratosMultiphysics.Matrix(3,3)
A[0,0] = 1.0e-10; A[0,1] = 2.0e-10; A[0,2] = 0.0
A[1,0] = 0.5e-10; A[1,1] = 0.7e-10; A[1,2] = 0.1e-10
A[2,0] = -0.2e-10; A[2,1] = 0.0; A[2,2] = -0.3e-10
b = KratosMultiphysics.Vector(3)
b[0] = 0.5e-10
b[1] = -0.2e-10
b[2] = 0.7e-10
return A,b
def _solve(self,mp):
#define a minimal newton raphson solver
linear_solver = KratosMultiphysics.SkylineLUFactorizationSolver()
builder_and_solver = KratosMultiphysics.ResidualBasedBlockBuilderAndSolver(linear_solver)
scheme = KratosMultiphysics.ResidualBasedIncrementalUpdateStaticScheme()
convergence_criterion = KratosMultiphysics.ResidualCriteria(1e-14,1e-20)
max_iters = 20
compute_reactions = True
reform_step_dofs = True
calculate_norm_dx = False
move_mesh_flag = True
strategy = KratosMultiphysics.ResidualBasedLinearStrategy(mp,
scheme,
linear_solver,
builder_and_solver,
compute_reactions,
reform_step_dofs,
calculate_norm_dx,
move_mesh_flag)
#strategy = KratosMultiphysics.ResidualBasedNewtonRaphsonStrategy(mp,
#scheme,
#linear_solver,
#convergence_criterion,
#builder_and_solver,
#max_iters,
#compute_reactions,
#reform_step_dofs,
#move_mesh_flag)
strategy.SetEchoLevel(0)
strategy.Initialize()
strategy.Check()
strategy.Solve()
def _check_results(self,mp,A,b):
##check that the results are exact on the nodes
for node in mp.Nodes:
xvec = KratosMultiphysics.Vector(3)
xvec[0] = node.X0
xvec[1] = node.Y0
xvec[2] = node.Z0
u = A*xvec
u += b
coor_list = ["X","Y","Z"]
d = node.GetSolutionStepValue(KratosMultiphysics.DISPLACEMENT)
for i in range(3):
if abs(u[i]) > 0.0:
error = (d[i] - u[i])/u[i]
if error > 1.0e-6:
print("NODE ", node.Id,": Component ", coor_list[i],":\t",u[i],"\t",d[i], "\tError: ", error)
self.assertLess(error, 1.0e-6)
def _check_outputs(self,mp,A,dim):
E = mp.GetProperties()[1].GetValue(KratosMultiphysics.YOUNG_MODULUS)
NU =mp.GetProperties()[1].GetValue(KratosMultiphysics.POISSON_RATIO)
# Given the matrix A, the analytic deformation gradient is F+I
F = A
for i in range(3):
F[i,i] += 1.0
# Here compute the Cauchy green strain tensor
Etensor = KratosMultiphysics.Matrix(3,3)
for i in range(3):
for j in range(3):
Etensor[i,j] = 0.0
for i in range(3):
for j in range(3):
for k in range(3):
Etensor[i,j] += F[k,i]*F[k,j]
for i in range(3):
Etensor[i,i] -= 1.0
for i in range(3):
for j in range(3):
Etensor[i,j] = 0.5*Etensor[i,j]
# Verify strain
if(dim == 2):
reference_strain = KratosMultiphysics.Vector(3)
reference_strain[0] = Etensor[0,0]
reference_strain[1] = Etensor[1,1]
reference_strain[2] = 2.0*Etensor[0,1]
else:
reference_strain = KratosMultiphysics.Vector(6)
reference_strain[0] = Etensor[0,0]
reference_strain[1] = Etensor[1,1]
reference_strain[2] = Etensor[2,2]
reference_strain[3] = 2.0*Etensor[0,1]
reference_strain[4] = 2.0*Etensor[1,2]
reference_strain[5] = 2.0*Etensor[0,2]
for elem in mp.Elements:
out = elem.CalculateOnIntegrationPoints(KratosMultiphysics.GREEN_LAGRANGE_STRAIN_VECTOR, mp.ProcessInfo)
for strain in out:
for i in range(len(reference_strain)):
if abs(strain[i]) > 0.0:
self.assertLess((reference_strain[i] - strain[i])/strain[i], 1.0e-6)
# Finally compute stress
if(dim == 2):
#here assume plane stress
c1 = E / (1.00 - NU*NU)
c2 = c1 * NU
c3 = 0.5* E / (1 + NU)
reference_stress = KratosMultiphysics.Vector(3)
reference_stress[0] = c1*reference_strain[0] + c2 * (reference_strain[1])
reference_stress[1] = c1*reference_strain[1] + c2 * (reference_strain[0])
reference_stress[2] = c3*reference_strain[2]
else:
c1 = E / (( 1.00 + NU ) * ( 1 - 2 * NU ) )
c2 = c1 * ( 1 - NU )
c3 = c1 * NU
c4 = c1 * 0.5 * ( 1 - 2 * NU )
reference_stress = KratosMultiphysics.Vector(6)
reference_stress[0] = c2*reference_strain[0] + c3 * (reference_strain[1] + reference_strain[2])
reference_stress[1] = c2*reference_strain[1] + c3 * (reference_strain[0] + reference_strain[2])
reference_stress[2] = c2*reference_strain[2] + c3 * (reference_strain[0] + reference_strain[1])
reference_stress[3] = c4*reference_strain[3]
reference_stress[4] = c4*reference_strain[4]
reference_stress[5] = c4*reference_strain[5]
for elem in mp.Elements:
out = elem.CalculateOnIntegrationPoints(KratosMultiphysics.PK2_STRESS_VECTOR, mp.ProcessInfo)
for stress in out:
for i in range(len(reference_stress)):
if abs(stress[i]) > 0.0:
self.assertLess((reference_stress[i] - stress[i])/stress[i], 1.0e-6)
def test_SmallDisplacementElement_2D_triangle(self):
dim = 2
current_model = KratosMultiphysics.Model()
mp = current_model.CreateModelPart("solid_part")
self._add_variables(mp)
self._apply_material_properties(mp,dim)
#create nodes
mp.CreateNewNode(1,0.5,0.5,0.0)
mp.CreateNewNode(2,0.7,0.2,0.0)
mp.CreateNewNode(3,0.9,0.8,0.0)
mp.CreateNewNode(4,0.3,0.7,0.0)
mp.CreateNewNode(5,0.6,0.6,0.0)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_X, KratosMultiphysics.REACTION_X,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Y, KratosMultiphysics.REACTION_Y,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Z, KratosMultiphysics.REACTION_Z,mp)
#create a submodelpart for boundary conditions
bcs = mp.CreateSubModelPart("BoundaryCondtions")
bcs.AddNodes([1,2,3,4])
#create Element
mp.CreateNewElement("SmallDisplacementElement2D3N", 1, [1,2,5], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement2D3N", 2, [2,3,5], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement2D3N", 3, [3,4,5], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement2D3N", 4, [4,1,5], mp.GetProperties()[1])
A,b = self._define_movement(dim)
self._apply_BCs(bcs,A,b)
self._solve(mp)
self._check_results(mp,A,b)
self._check_outputs(mp,A,dim)
# Checking consistent mass matrix
M = KratosMultiphysics.Matrix(0,0)
mp.Elements[1].CalculateMassMatrix(M,mp.ProcessInfo)
Area = mp.Elements[1].GetGeometry().Area()
for i in range(3):
for j in range(3):
for k in range(dim):
if(i==j):
coeff = Area/6.0
else:
coeff = Area/12.0
self.assertAlmostEqual(M[i*dim+k,j*dim+k],coeff)
mp.Elements[1].SetValue(StructuralMechanicsApplication.MASS_FACTOR, 2.0)
mp.Elements[1].CalculateMassMatrix(M,mp.ProcessInfo)
for i in range(3):
for j in range(3):
for k in range(dim):
if(i==j):
coeff = Area/3.0
else:
coeff = Area/6.0
self.assertAlmostEqual(M[i*dim+k,j*dim+k],coeff)
#self.__post_process(mp)
def test_SmallDisplacementElement_2D_quadrilateral(self):
dim = 2
current_model = KratosMultiphysics.Model()
mp = current_model.CreateModelPart("solid_part")
self._add_variables(mp)
self._apply_material_properties(mp,dim)
#create nodes
mp.CreateNewNode(1,0.00,3.00,0.00)
mp.CreateNewNode(2,1.00,2.25,0.00)
mp.CreateNewNode(3,0.75,1.00,0.00)
mp.CreateNewNode(4,2.25,2.00,0.00)
mp.CreateNewNode(5,0.00,0.00,0.00)
mp.CreateNewNode(6,3.00,3.00,0.00)
mp.CreateNewNode(7,2.00,0.75,0.00)
mp.CreateNewNode(8,3.00,0.00,0.00)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_X, KratosMultiphysics.REACTION_X,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Y, KratosMultiphysics.REACTION_Y,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Z, KratosMultiphysics.REACTION_Z,mp)
#create a submodelpart for boundary conditions
bcs = mp.CreateSubModelPart("BoundaryCondtions")
bcs.AddNodes([1,5,6,8])
#create Element
mp.CreateNewElement("SmallDisplacementElement2D4N", 1, [8,7,3,5], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement2D4N", 2, [6,4,7,8], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement2D4N", 3, [1,2,4,6], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement2D4N", 4, [4,2,3,7], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement2D4N", 5, [2,1,5,3], mp.GetProperties()[1])
A,b = self._define_movement(dim)
self._apply_BCs(bcs,A,b)
self._solve(mp)
self._check_results(mp,A,b)
self._check_outputs(mp,A,dim)
#self.__post_process(mp)
def test_SmallDisplacementElement_2D_quadratic_quadrilateral(self):
dim = 2
current_model = KratosMultiphysics.Model()
mp = current_model.CreateModelPart("solid_part")
self._add_variables(mp)
self._apply_material_properties(mp,dim)
# Create nodes
mp.CreateNewNode(1, 2.0000000000, 1.0000000000, 0.0000000000)
mp.CreateNewNode(2, 1.8333333333, 0.8333333333, 0.0000000000)
mp.CreateNewNode(3, 1.7500000000, 0.9166666667, 0.0000000000)
mp.CreateNewNode(4, 1.6501412600, 0.7903466431, 0.0000000000)
mp.CreateNewNode(5, 1.6666666667, 0.6666666667, 0.0000000000)
mp.CreateNewNode(6, 1.5000000000, 0.8333333333, 0.0000000000)
mp.CreateNewNode(7, 1.5502825201, 0.6640266196, 0.0000000000)
mp.CreateNewNode(8, 1.4669491867, 0.7473599529, 0.0000000000)
mp.CreateNewNode(9, 1.4338983735, 0.6613865725, 0.0000000000)
mp.CreateNewNode(10, 1.5000000000, 0.5000000000, 0.0000000000)
mp.CreateNewNode(11, 1.3930628337, 0.5373333663, 0.0000000000)
mp.CreateNewNode(12, 1.2500000000, 0.7500000000, 0.0000000000)
mp.CreateNewNode(13, 1.2680628337, 0.6623333663, 0.0000000000)
mp.CreateNewNode(14, 1.2861256675, 0.5746667326, 0.0000000000)
mp.CreateNewNode(15, 1.3333333333, 0.3333333333, 0.0000000000)
mp.CreateNewNode(16, 1.2358431474, 0.4106401130, 0.0000000000)
mp.CreateNewNode(17, 1.1383529614, 0.4879468926, 0.0000000000)
mp.CreateNewNode(18, 1.0691764807, 0.5773067797, 0.0000000000)
mp.CreateNewNode(19, 1.0000000000, 0.6666666667, 0.0000000000)
mp.CreateNewNode(20, 1.1666666667, 0.1666666667, 0.0000000000)
mp.CreateNewNode(21, 1.0644666084, 0.2779203060, 0.0000000000)
mp.CreateNewNode(22, 0.9622665502, 0.3891739453, 0.0000000000)
mp.CreateNewNode(23, 0.8561332751, 0.4862536393, 0.0000000000)
mp.CreateNewNode(24, 0.7500000000, 0.5833333333, 0.0000000000)
mp.CreateNewNode(25, 0.8930900695, 0.1452004990, 0.0000000000)
mp.CreateNewNode(26, 0.7861801389, 0.2904009980, 0.0000000000)
mp.CreateNewNode(27, 1.0000000000, 0.0000000000, 0.0000000000)
mp.CreateNewNode(28, 0.6430900695, 0.3952004990, 0.0000000000)
mp.CreateNewNode(29, 0.6479361204, 0.2339226363, 0.0000000000)
mp.CreateNewNode(30, 0.6989680602, 0.1169613182, 0.0000000000)
mp.CreateNewNode(31, 0.5000000000, 0.5000000000, 0.0000000000)
mp.CreateNewNode(32, 0.7500000000, 0.0000000000, 0.0000000000)
mp.CreateNewNode(33, 0.5114680602, 0.3044613182, 0.0000000000)
mp.CreateNewNode(34, 0.5096921019, 0.1774442747, 0.0000000000)
mp.CreateNewNode(35, 0.3750000000, 0.3750000000, 0.0000000000)
mp.CreateNewNode(36, 0.5048460509, 0.0887221373, 0.0000000000)
mp.CreateNewNode(37, 0.3798460509, 0.2137221373, 0.0000000000)
mp.CreateNewNode(38, 0.5000000000, 0.0000000000, 0.0000000000)
mp.CreateNewNode(39, 0.2500000000, 0.2500000000, 0.0000000000)
mp.CreateNewNode(40, 0.3149230255, 0.1068610687, 0.0000000000)
mp.CreateNewNode(41, 0.2500000000, 0.0000000000, 0.0000000000)
mp.CreateNewNode(42, 0.1250000000, 0.1250000000, 0.0000000000)
mp.CreateNewNode(43, 0.0000000000, 0.0000000000, 0.0000000000)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_X, KratosMultiphysics.REACTION_X,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Y, KratosMultiphysics.REACTION_Y,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Z, KratosMultiphysics.REACTION_Z,mp)
#create a submodelpart for boundary conditions
bcs = mp.CreateSubModelPart("BoundaryCondtions")
bcs.AddNodes([1, 2, 3, 5, 6, 10, 12, 15, 19, 20, 24, 27, 31, 32, 35, 38, 39, 41, 42, 43])
# Create Element
mp.CreateNewElement("SmallDisplacementElement2D9N", 1, [ 39, 43, 38, 34, 42, 41, 36, 37, 40 ], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement2D9N", 2, [ 31, 39, 34, 26, 35, 37, 29, 28, 33 ], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement2D9N", 3, [ 34, 38, 27, 26, 36, 32, 25, 29, 30 ], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement2D9N", 4, [ 5, 1, 6, 9, 2, 3, 8, 7, 4 ], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement2D9N", 5, [ 27, 15, 17, 26, 20, 16, 22, 25, 21 ], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement2D9N", 6, [ 31, 26, 17, 19, 28, 22, 18, 24, 23 ], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement2D9N", 7, [ 15, 5, 9, 17, 10, 7, 14, 16, 11 ], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement2D9N", 8, [ 19, 17, 9, 6, 18, 14, 8, 12, 13 ], mp.GetProperties()[1])
A,b = self._define_movement(dim)
self._apply_BCs(bcs,A,b)
self._solve(mp)
self._check_results(mp,A,b)
self._check_outputs(mp,A,dim)
#self.__post_process(mp)
def test_SmallDisplacementElement_3D_tetra(self):
dim = 3
current_model = KratosMultiphysics.Model()
mp = current_model.CreateModelPart("solid_part")
self._add_variables(mp)
self._apply_material_properties(mp,dim)
#create nodes
mp.CreateNewNode(1,0.0, 1.0, 0.0)
mp.CreateNewNode(2,0.0, 1.0, 0.1)
mp.CreateNewNode(3, 0.28739360416666665, 0.27808503701741405, 0.05672979583333333)
mp.CreateNewNode(4, 0.0, 0.1, 0.0)
mp.CreateNewNode(5, 0.1, 0.1, 0.1)
mp.CreateNewNode(6, 1.0, 0.0, 0.0)
mp.CreateNewNode(7, 1.2, 0.0, 0.1)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_X, KratosMultiphysics.REACTION_X,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Y, KratosMultiphysics.REACTION_Y,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Z, KratosMultiphysics.REACTION_Z,mp)
#create a submodelpart for boundary conditions
bcs = mp.CreateSubModelPart("BoundaryCondtions")
bcs.AddNodes([1,2,4,5,6,7])
#create Element
mp.CreateNewElement("SmallDisplacementElement3D4N", 1,[5,3,1,2], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 2,[3,1,2,6], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 3,[6,4,7,3], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 4,[5,4,1,3], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 5,[4,1,3,6], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 6,[5,4,3,7], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 7,[3,5,7,2], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 8,[6,7,2,3], mp.GetProperties()[1])
A,b = self._define_movement(dim)
self._apply_BCs(bcs,A,b)
self._solve(mp)
self._check_results(mp,A,b)
self._check_outputs(mp,A,dim)
#self.__post_process(mp)
def test_SmallDisplacementElement_3D_tetra_user_provided_elasticity(self):
dim = 3
current_model = KratosMultiphysics.Model()
mp = current_model.CreateModelPart("solid_part")
self._add_variables(mp)
#set the user-provided elasticity tensor
E = 200e+9
nu = 0.3
c1 = E / ((1.00+nu) * (1-2*nu))
c2 = c1 * (1-nu)
c3 = c1 * nu
c4 = c1 * 0.5 * (1-2*nu)
elasticity_tensor = KratosMultiphysics.Matrix(6,6)
for i in range(6):
for j in range(6):
elasticity_tensor[i,j] = 0.0
elasticity_tensor[0, 0] = c2
elasticity_tensor[0, 1] = c3
elasticity_tensor[0, 2] = c3
elasticity_tensor[1, 0] = c3
elasticity_tensor[1, 1] = c2
elasticity_tensor[1, 2] = c3
elasticity_tensor[2, 0] = c3
elasticity_tensor[2, 1] = c3
elasticity_tensor[2, 2] = c2
elasticity_tensor[3, 3] = c4
elasticity_tensor[4, 4] = c4
elasticity_tensor[5, 5] = c4
#apply isotropic user-provided material properties
claw = StructuralMechanicsApplication.UserProvidedLinearElastic3DLaw()
mp.GetProperties()[1].SetValue(KratosMultiphysics.CONSTITUTIVE_LAW, claw)
mp.GetProperties()[1].SetValue(StructuralMechanicsApplication.ELASTICITY_TENSOR, elasticity_tensor)
#create nodes
mp.CreateNewNode(1,0.0, 1.0, 0.0)
mp.CreateNewNode(2,0.0, 1.0, 0.1)
mp.CreateNewNode(3, 0.28739360416666665, 0.27808503701741405, 0.05672979583333333)
mp.CreateNewNode(4, 0.0, 0.1, 0.0)
mp.CreateNewNode(5, 0.1, 0.1, 0.1)
mp.CreateNewNode(6, 1.0, 0.0, 0.0)
mp.CreateNewNode(7, 1.2, 0.0, 0.1)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_X, KratosMultiphysics.REACTION_X,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Y, KratosMultiphysics.REACTION_Y,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Z, KratosMultiphysics.REACTION_Z,mp)
#create a submodelpart for boundary conditions
bcs = mp.CreateSubModelPart("BoundaryCondtions")
bcs.AddNodes([1,2,4,5,6,7])
#create Element
mp.CreateNewElement("SmallDisplacementElement3D4N", 1,[5,3,1,2], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 2,[3,1,2,6], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 3,[6,4,7,3], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 4,[5,4,1,3], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 5,[4,1,3,6], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 6,[5,4,3,7], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 7,[3,5,7,2], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 8,[6,7,2,3], mp.GetProperties()[1])
A,b = self._define_movement(dim)
self._apply_BCs(bcs,A,b)
self._solve(mp)
self._check_results(mp,A,b)
self._check_outputs(mp,A,dim)
#self.__post_process(mp)
def test_SmallDisplacementElement_3D_tetra_user_provided_elasticity_anisotropic(self):
dim = 3
current_model = KratosMultiphysics.Model()
mp = current_model.CreateModelPart("solid_part")
self._add_variables(mp)
#set the user-provided anisotropic elasticity tensor
elasticity_tensor = KratosMultiphysics.Matrix(6,6)
aux_elasticity_tensor = [
[5.99E+11,5.57E+11,5.34E+11,0,0,4.44E+09],
[5.57E+11,5.71E+11,5.34E+11,0,0,-3.00E+09],
[5.34E+11,5.34E+11,5.37E+11,0,0,9.90E+05],
[0,0,0,1.92E+09,9.78E+06,0],
[0,0,0,9.78E+06,2.12E+09,0],
[4.44E+09,-3.00E+09,9.90E+05,0,0,2.56E+10]]
for i in range(6):
for j in range(6):
elasticity_tensor[i,j] = aux_elasticity_tensor[i][j]
#apply anisotropic user-provided material properties
claw = StructuralMechanicsApplication.UserProvidedLinearElastic3DLaw()
mp.GetProperties()[1].SetValue(KratosMultiphysics.CONSTITUTIVE_LAW, claw)
mp.GetProperties()[1].SetValue(StructuralMechanicsApplication.ELASTICITY_TENSOR, elasticity_tensor)
#create nodes
mp.CreateNewNode(1,0.0, 1.0, 0.0)
mp.CreateNewNode(2,0.0, 1.0, 0.1)
mp.CreateNewNode(3, 0.28739360416666665, 0.27808503701741405, 0.05672979583333333)
mp.CreateNewNode(4, 0.0, 0.1, 0.0)
mp.CreateNewNode(5, 0.1, 0.1, 0.1)
mp.CreateNewNode(6, 1.0, 0.0, 0.0)
mp.CreateNewNode(7, 1.2, 0.0, 0.1)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_X, KratosMultiphysics.REACTION_X,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Y, KratosMultiphysics.REACTION_Y,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Z, KratosMultiphysics.REACTION_Z,mp)
#create a submodelpart for boundary conditions
bcs = mp.CreateSubModelPart("BoundaryCondtions")
bcs.AddNodes([1,2,4,5,6,7])
#create Element
mp.CreateNewElement("SmallDisplacementElement3D4N", 1,[5,3,1,2], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 2,[3,1,2,6], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 3,[6,4,7,3], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 4,[5,4,1,3], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 5,[4,1,3,6], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 6,[5,4,3,7], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 7,[3,5,7,2], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D4N", 8,[6,7,2,3], mp.GetProperties()[1])
A,b = self._define_movement(dim)
self._apply_BCs(bcs,A,b)
self._solve(mp)
self._check_results(mp,A,b)
self._check_outputs(mp,A,dim)
#self.__post_process(mp)
def test_SmallDisplacementElement_3D_prism(self):
dim = 3
current_model = KratosMultiphysics.Model()
mp = current_model.CreateModelPart("solid_part")
self._add_variables(mp)
self._apply_material_properties(mp,dim)
#create nodes
mp.CreateNewNode(1,0.5,0.5,0.0)
mp.CreateNewNode(2,0.7,0.2,0.0)
mp.CreateNewNode(3,0.9,0.8,0.0)
mp.CreateNewNode(4,0.3,0.7,0.0)
mp.CreateNewNode(5,0.6,0.6,0.0)
mp.CreateNewNode(6,0.5,0.5,0.1)
mp.CreateNewNode(7,0.7,0.2,0.1)
mp.CreateNewNode(8,0.9,0.8,0.1)
mp.CreateNewNode(9,0.3,0.7,0.1)
mp.CreateNewNode(10,0.6,0.6,0.1)
mp.CreateNewNode(11,0.5,0.5,0.2)
mp.CreateNewNode(12,0.7,0.2,0.2)
mp.CreateNewNode(13,0.9,0.8,0.2)
mp.CreateNewNode(14,0.3,0.7,0.2)
mp.CreateNewNode(15,0.6,0.6,0.2)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_X, KratosMultiphysics.REACTION_X,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Y, KratosMultiphysics.REACTION_Y,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Z, KratosMultiphysics.REACTION_Z,mp)
#create a submodelpart for boundary conditions
bcs = mp.CreateSubModelPart("BoundaryCondtions")
bcs.AddNodes([1,2,3,4,5,6,7,8,9,11,12,13,14,15])
#create Element
mp.CreateNewElement("SmallDisplacementElement3D6N", 1, [1,2,5,6,7,10], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D6N", 2, [2,3,5,7,8,10], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D6N", 3, [3,4,5,8,9,10], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D6N", 4, [4,1,5,9,6,10], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D6N", 5, [6,7,10,11,12,15], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D6N", 6, [7,8,10,12,13,15], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D6N", 7, [8,9,10,13,14,15], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D6N", 8, [9,6,10,14,11,15], mp.GetProperties()[1])
A,b = self._define_movement(dim)
self._apply_BCs(bcs,A,b)
self._solve(mp)
self._check_results(mp,A,b)
self._check_outputs(mp,A,dim)
#self.__post_process(mp)
def test_SmallDisplacementElement_3D_hexa(self):
dim = 3
current_model = KratosMultiphysics.Model()
mp = current_model.CreateModelPart("solid_part")
self._add_variables(mp)
self._apply_material_properties(mp,dim)
#create nodes
mp.CreateNewNode(1, 0.00000, 1.00000, 1.00000)
mp.CreateNewNode(2, 0.16500, 0.74500, 0.70200)
mp.CreateNewNode(3, 0.27300, 0.75000, 0.23000)
mp.CreateNewNode(4, 0.78800, 0.69300, 0.64400)
mp.CreateNewNode(5, 0.32000, 0.18600, 0.64300)
mp.CreateNewNode(6, 0.00000, 1.00000, 0.00000)
mp.CreateNewNode(7, 0.00000, 0.00000, 1.00000)
mp.CreateNewNode(8, 1.00000, 1.00000, 1.00000)
mp.CreateNewNode(9, 0.67700, 0.30500, 0.68300)
mp.CreateNewNode(10, 0.24900, 0.34200, 0.19200)
mp.CreateNewNode(11, 0.85000, 0.64900, 0.26300)
mp.CreateNewNode(12, 0.82600, 0.28800, 0.28800)
mp.CreateNewNode(13, 0.00000, 0.00000, 0.00000)
mp.CreateNewNode(14, 1.00000, 1.00000, 0.00000)
mp.CreateNewNode(15, 1.00000, 0.00000, 1.00000)
mp.CreateNewNode(16, 1.00000, 0.00000, 0.00000)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_X, KratosMultiphysics.REACTION_X,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Y, KratosMultiphysics.REACTION_Y,mp)
KratosMultiphysics.VariableUtils().AddDof(KratosMultiphysics.DISPLACEMENT_Z, KratosMultiphysics.REACTION_Z,mp)
#create a submodelpart for boundary conditions
bcs = mp.CreateSubModelPart("BoundaryCondtions")
bcs.AddNodes([1,6,7,8,13,14,15,16])
#create Element
mp.CreateNewElement("SmallDisplacementElement3D8N", 1,[10,5,2,3,13,7,1,6], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D8N", 2,[12,9,5,10,16,15,7,13], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D8N", 3,[12,11,3,10,9,4,2,5], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D8N", 4,[9,4,2,5,15,8,1,7], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D8N", 5,[4,11,3,2,8,14,6,1], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D8N", 6,[11,4,9,12,14,8,15,16], mp.GetProperties()[1])
mp.CreateNewElement("SmallDisplacementElement3D8N", 7,[11,12,10,3,14,16,13,6], mp.GetProperties()[1])
A,b = self._define_movement(dim)
self._apply_BCs(bcs,A,b)
self._solve(mp)
self._check_results(mp,A,b)
self._check_outputs(mp,A,dim)
#self.__post_process(mp)
# Testing explicit utilities
empty_param = KratosMultiphysics.Parameters("""{}""")
max_delta_time = StructuralMechanicsApplication.CalculateDeltaTime(mp, empty_param)
self.assertAlmostEqual(max_delta_time,4.1494033578614815e-07)
def __post_process(self, main_model_part, post_type = "gid"):
if post_type == "gid":
self.gid_output = GiDOutputProcess(main_model_part,
"gid_output",
KratosMultiphysics.Parameters("""
{
"result_file_configuration" : {
"gidpost_flags": {
"GiDPostMode": "GiD_PostBinary",
"WriteDeformedMeshFlag": "WriteUndeformed",
"WriteConditionsFlag": "WriteConditions",
"MultiFileFlag": "SingleFile"
},
"nodal_results" : ["DISPLACEMENT"],
"gauss_point_results" : ["GREEN_LAGRANGE_STRAIN_TENSOR","CAUCHY_STRESS_TENSOR","VON_MISES_STRESS"]
}
}
""")
)
self.gid_output.ExecuteInitialize()
self.gid_output.ExecuteBeforeSolutionLoop()
self.gid_output.ExecuteInitializeSolutionStep()
self.gid_output.PrintOutput()
self.gid_output.ExecuteFinalizeSolutionStep()
self.gid_output.ExecuteFinalize()
elif post_type == "vtk":
self.vtk_output_process = VtkOutputProcess(main_model_part.GetModel(),
KratosMultiphysics.Parameters("""{
"model_part_name" : "solid_part",
"extrapolate_gauss_points" : false,
"nodal_solution_step_data_variables" : ["DISPLACEMENT"],
"gauss_point_variables": ["VON_MISES_STRESS"]
}
""")
)
self.vtk_output_process.ExecuteInitialize()
self.vtk_output_process.ExecuteBeforeSolutionLoop()
self.vtk_output_process.ExecuteInitializeSolutionStep()
self.vtk_output_process.PrintOutput()
self.vtk_output_process.ExecuteFinalizeSolutionStep()
self.vtk_output_process.ExecuteFinalize()
class TestPatchTestSmallDisplacementMixedVolumetricStrain(
KratosUnittest.TestCase):
def setUp(self):
self.tolerance = 1.0e-6
self.print_output = True
def _add_variables(self, ModelPart):
ModelPart.AddNodalSolutionStepVariable(KratosMultiphysics.DISPLACEMENT)
ModelPart.AddNodalSolutionStepVariable(
KratosMultiphysics.VOLUMETRIC_STRAIN)
ModelPart.AddNodalSolutionStepVariable(
KratosMultiphysics.VOLUME_ACCELERATION)
ModelPart.AddNodalSolutionStepVariable(KratosMultiphysics.REACTION)
ModelPart.AddNodalSolutionStepVariable(
KratosMultiphysics.REACTION_FLUX)
def _apply_BCs(self, ModelPart, A, b):
for node in ModelPart.Nodes:
node.Fix(KratosMultiphysics.DISPLACEMENT_X)
node.Fix(KratosMultiphysics.DISPLACEMENT_Y)
node.Fix(KratosMultiphysics.DISPLACEMENT_Z)
x_vec = KratosMultiphysics.Vector(3)
x_vec[0] = node.X0
x_vec[1] = node.Y0
x_vec[2] = node.Z0
u = A * x_vec
u += b
node.SetSolutionStepValue(KratosMultiphysics.DISPLACEMENT, 0, u)
def _apply_material_properties(self, ModelPart, Dimension):
# Define material properties
ModelPart.GetProperties()[1].SetValue(KratosMultiphysics.YOUNG_MODULUS,
200.0e9)
ModelPart.GetProperties()[1].SetValue(KratosMultiphysics.POISSON_RATIO,
0.4)
ModelPart.GetProperties()[1].SetValue(KratosMultiphysics.DENSITY, 1.0)
# Define body force
g = [0, 0, 0]
ModelPart.GetProperties()[1].SetValue(
KratosMultiphysics.VOLUME_ACCELERATION, g)
# Define constitutive law
if (Dimension == 2):
cons_law = StructuralMechanicsApplication.LinearElasticPlaneStrain2DLaw(
)
else:
cons_law = StructuralMechanicsApplication.LinearElastic3DLaw()
ModelPart.GetProperties()[1].SetValue(
KratosMultiphysics.CONSTITUTIVE_LAW, cons_law)
def _define_movement(self, Dimension):
if (Dimension == 2):
#define the applied motion - the idea is that the displacement is defined as u = A*xnode + b
#so that the displcement is linear and the exact F = I + A
A = KratosMultiphysics.Matrix(3, 3)
A[0, 0] = 1.0e-10
A[0, 1] = 2.0e-10
A[0, 2] = 0.0
A[1, 0] = 0.5e-10
A[1, 1] = 0.7e-10
A[1, 2] = 0.0
A[2, 0] = 0.0
A[2, 1] = 0.0
A[2, 2] = 0.0
b = KratosMultiphysics.Vector(3)
b[0] = 0.5e-10
b[1] = -0.2e-10
b[2] = 0.0
else:
#define the applied motion - the idea is that the displacement is defined as u = A*xnode + b
#so that the displcement is linear and the exact F = I + A
A = KratosMultiphysics.Matrix(3, 3)
A[0, 0] = 1.0e-10
A[0, 1] = 2.0e-10
A[0, 2] = 0.0
A[1, 0] = 0.5e-10
A[1, 1] = 0.7e-10
A[1, 2] = 0.1e-10
A[2, 0] = -0.2e-10
A[2, 1] = 0.0
A[2, 2] = -0.3e-10
b = KratosMultiphysics.Vector(3)
b[0] = 0.5e-10
b[1] = -0.2e-10
b[2] = 0.7e-10
return A, b
def _solve(self, ModelPart):
# Define a linear strategy to solve the problem
linear_solver = KratosMultiphysics.SkylineLUFactorizationSolver()
builder_and_solver = KratosMultiphysics.ResidualBasedBlockBuilderAndSolver(
linear_solver)
scheme = KratosMultiphysics.ResidualBasedIncrementalUpdateStaticScheme(
)
compute_reactions = True
reform_step_dofs = True
calculate_norm_dx = False
move_mesh_flag = True
strategy = KratosMultiphysics.ResidualBasedLinearStrategy(
ModelPart, scheme, linear_solver, builder_and_solver,
compute_reactions, reform_step_dofs, calculate_norm_dx,
move_mesh_flag)
strategy.SetEchoLevel(0)
strategy.Check()
# Solve the problem
strategy.Solve()
def _check_results(self, ModelPart, A, b):
# Check that the results are exact on the nodes
for node in ModelPart.Nodes:
x_vec = KratosMultiphysics.Vector(3)
x_vec[0] = node.X0
x_vec[1] = node.Y0
x_vec[2] = node.Z0
u = A * x_vec
u += b
coor_list = ["X", "Y", "Z"]
d = node.GetSolutionStepValue(KratosMultiphysics.DISPLACEMENT)
for i in range(3):
if abs(u[i]) > 0.0:
error = (d[i] - u[i]) / u[i]
if error > self.tolerance:
print("NODE ", node.Id, ": Component ", coor_list[i],
":\t", u[i], "\t", d[i], "\tError: ", error)
self.assertLess(error, self.tolerance)
def testSmallDisplacementMixedVolumetricStrainElement2DTriangle(self):
dimension = 2
current_model = KratosMultiphysics.Model()
model_part = current_model.CreateModelPart("MainModelPartTriangle")
self._add_variables(model_part)
self._apply_material_properties(model_part, dimension)
# Create nodes
model_part.CreateNewNode(1, 0.5, 0.5, 0.0)
model_part.CreateNewNode(2, 0.7, 0.2, 0.0)
model_part.CreateNewNode(3, 0.9, 0.8, 0.0)
model_part.CreateNewNode(4, 0.3, 0.7, 0.0)
model_part.CreateNewNode(5, 0.6, 0.6, 0.0)
# Add DOFs
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.DISPLACEMENT_X, KratosMultiphysics.REACTION_X,
model_part)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.DISPLACEMENT_Y, KratosMultiphysics.REACTION_Y,
model_part)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.DISPLACEMENT_Z, KratosMultiphysics.REACTION_Z,
model_part)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.VOLUMETRIC_STRAIN,
KratosMultiphysics.REACTION_FLUX, model_part)
# Create a submodelpart for boundary conditions
boundary_model_part = model_part.CreateSubModelPart(
"BoundaryCondtions")
boundary_model_part.AddNodes([1, 2, 3, 4])
# Create elements
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement2D3N", 1, [1, 2, 5],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement2D3N", 2, [2, 3, 5],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement2D3N", 3, [3, 4, 5],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement2D3N", 4, [4, 1, 5],
model_part.GetProperties()[1])
A, b = self._define_movement(dimension)
self._apply_BCs(boundary_model_part, A, b)
self._solve(model_part)
self._check_results(model_part, A, b)
if self.print_output:
self.__post_process(model_part)
def testSmallDisplacementMixedVolumetricStrainElement3DTetrahedra(self):
dimension = 3
current_model = KratosMultiphysics.Model()
model_part = current_model.CreateModelPart("MainModelPartTetrahedra")
self._add_variables(model_part)
self._apply_material_properties(model_part, dimension)
#create nodes
model_part.CreateNewNode(1, 0.0, 1.0, 0.0)
model_part.CreateNewNode(2, 0.0, 1.0, 0.1)
model_part.CreateNewNode(3, 0.28739360416666665, 0.27808503701741405,
0.05672979583333333)
model_part.CreateNewNode(4, 0.0, 0.1, 0.0)
model_part.CreateNewNode(5, 0.1, 0.1, 0.1)
model_part.CreateNewNode(6, 1.0, 0.0, 0.0)
model_part.CreateNewNode(7, 1.2, 0.0, 0.1)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.DISPLACEMENT_X, KratosMultiphysics.REACTION_X,
model_part)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.DISPLACEMENT_Y, KratosMultiphysics.REACTION_Y,
model_part)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.DISPLACEMENT_Z, KratosMultiphysics.REACTION_Z,
model_part)
KratosMultiphysics.VariableUtils().AddDof(
KratosMultiphysics.VOLUMETRIC_STRAIN,
KratosMultiphysics.REACTION_FLUX, model_part)
#create a submodelpart for boundary conditions
boundary_model_part = model_part.CreateSubModelPart(
"BoundaryCondtions")
boundary_model_part.AddNodes([1, 2, 4, 5, 6, 7])
#create Element
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 1,
[5, 3, 1, 2],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 2,
[3, 1, 2, 6],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 3,
[6, 4, 7, 3],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 4,
[5, 4, 1, 3],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 5,
[4, 1, 3, 6],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 6,
[5, 4, 3, 7],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 7,
[3, 5, 7, 2],
model_part.GetProperties()[1])
model_part.CreateNewElement(
"SmallDisplacementMixedVolumetricStrainElement3D4N", 8,
[6, 7, 2, 3],
model_part.GetProperties()[1])
A, b = self._define_movement(dimension)
self._apply_BCs(boundary_model_part, A, b)
self._solve(model_part)
self._check_results(model_part, A, b)
if self.print_output:
self.__post_process(model_part)
def __post_process(self, main_model_part, post_type="gid"):
if post_type == "gid":
self.gid_output = GiDOutputProcess(
main_model_part, main_model_part.Name,
KratosMultiphysics.Parameters(r"""
{
"result_file_configuration" : {
"gidpost_flags": {
"GiDPostMode": "GiD_PostBinary",
"WriteDeformedMeshFlag": "WriteUndeformed",
"WriteConditionsFlag": "WriteConditions",
"MultiFileFlag": "SingleFile"
},
"nodal_results" : ["DISPLACEMENT","VOLUMETRIC_STRAIN"],
"gauss_point_results" : []
}
}"""))
self.gid_output.ExecuteInitialize()
self.gid_output.ExecuteBeforeSolutionLoop()
self.gid_output.ExecuteInitializeSolutionStep()
self.gid_output.PrintOutput()
self.gid_output.ExecuteFinalizeSolutionStep()
self.gid_output.ExecuteFinalize()
elif post_type == "vtk":
vtk_output_parameters = KratosMultiphysics.Parameters(r"""
{
"model_part_name": "",
"extrapolate_gauss_points": false,
"nodal_solution_step_data_variables" : ["DISPLACEMENT","VOLUMETRIC_STRAIN"],
"gauss_point_variables": []
}""")
vtk_output_parameters["model_part_name"].SetString(
main_model_part.Name)
self.vtk_output_process = VtkOutputProcess(
main_model_part.GetModel(), vtk_output_parameters)
self.vtk_output_process.ExecuteInitialize()
self.vtk_output_process.ExecuteBeforeSolutionLoop()
self.vtk_output_process.ExecuteInitializeSolutionStep()
self.vtk_output_process.PrintOutput()
self.vtk_output_process.ExecuteFinalizeSolutionStep()
self.vtk_output_process.ExecuteFinalize()
class TestMortarMapperCore(KratosUnittest.TestCase):
def setUp(self):
pass
def __base_test_mapping(self, input_filename, num_nodes, master_num_nodes,
pure_implicit, inverted, discontinuous,
origin_are_conditions, destination_are_conditions):
KratosMultiphysics.Logger.GetDefaultOutput().SetSeverity(
KratosMultiphysics.Logger.Severity.WARNING)
self.model = KratosMultiphysics.Model()
self.main_model_part = self.model.CreateModelPart("Main", 2)
self.main_model_part.AddNodalSolutionStepVariable(
KratosMultiphysics.DISPLACEMENT)
self.main_model_part.AddNodalSolutionStepVariable(
KratosMultiphysics.TEMPERATURE)
self.main_model_part.AddNodalSolutionStepVariable(
KratosMultiphysics.NORMAL)
self.main_model_part.CloneTimeStep(1.01)
KratosMultiphysics.ModelPartIO(input_filename).ReadModelPart(
self.main_model_part)
## DEBUG Generate discontinous case
#self.__generate_discontinous_case(inverted)
if inverted:
self.model_part_slave = self.main_model_part.GetSubModelPart(
"Parts_Parts_Auto2")
self.model_part_master = self.main_model_part.GetSubModelPart(
"Parts_Parts_Auto1")
else:
self.model_part_slave = self.main_model_part.GetSubModelPart(
"Parts_Parts_Auto1")
self.model_part_master = self.main_model_part.GetSubModelPart(
"Parts_Parts_Auto2")
for node in self.model_part_master.Nodes:
x = node.X
y = node.Y
z = node.Z
node.SetSolutionStepValue(KratosMultiphysics.TEMPERATURE, z)
node.SetSolutionStepValue(KratosMultiphysics.DISPLACEMENT_X, x)
node.SetSolutionStepValue(KratosMultiphysics.DISPLACEMENT_Y, y)
node.SetSolutionStepValue(KratosMultiphysics.DISPLACEMENT_Z, z)
del (node)
map_parameters = KratosMultiphysics.Parameters("""
{
"echo_level" : 0,
"absolute_convergence_tolerance" : 1.0e-9,
"relative_convergence_tolerance" : 1.0e-4,
"max_number_iterations" : 10,
"integration_order" : 2,
"origin_variable" : "TEMPERATURE",
"discontinuous_interface" : false,
"origin_are_conditions" : true,
"destination_are_conditions" : true
}
""")
map_parameters["discontinuous_interface"].SetBool(discontinuous)
map_parameters["origin_are_conditions"].SetBool(origin_are_conditions)
map_parameters["destination_are_conditions"].SetBool(
destination_are_conditions)
if pure_implicit:
#linear_solver = ExternalSolversApplication.SuperLUSolver()
linear_solver = KratosMultiphysics.SkylineLUFactorizationSolver()
else:
linear_solver = None
self.mortar_mapping_double = KratosMultiphysics.SimpleMortarMapperProcess(
self.model_part_master, self.model_part_slave, map_parameters,
linear_solver)
map_parameters["origin_variable"].SetString("DISPLACEMENT")
self.mortar_mapping_vector = KratosMultiphysics.SimpleMortarMapperProcess(
self.model_part_master, self.model_part_slave, map_parameters,
linear_solver)
def _mapper_tests(self,
input_filename,
num_nodes,
master_num_nodes,
pure_implicit=False,
inverted=False,
discontinuous=False,
origin_are_conditions=True,
destination_are_conditions=True):
self.__base_test_mapping(input_filename, num_nodes, master_num_nodes,
pure_implicit, inverted, discontinuous,
origin_are_conditions,
destination_are_conditions)
self.mortar_mapping_double.Execute()
self.mortar_mapping_vector.Execute()
# Debug postprocess file
#self.__post_process()
check_parameters = KratosMultiphysics.Parameters("""
{
"check_variables" : ["TEMPERATURE","DISPLACEMENT"],
"input_file_name" : "",
"model_part_name" : "Main",
"sub_model_part_name" : "Parts_Parts_Auto1"
}
""")
if inverted:
check_parameters["input_file_name"].SetString(input_filename +
"_inverted.json")
else:
check_parameters["input_file_name"].SetString(input_filename +
".json")
check = from_json_check_result_process.FromJsonCheckResultProcess(
self.model, check_parameters)
check.ExecuteInitialize()
check.ExecuteBeforeSolutionLoop()
check.ExecuteFinalizeSolutionStep()
## The following is used to create the solution database
#import json_output_process
#out_parameters = KratosMultiphysics.Parameters("""
#{
#"output_variables" : ["TEMPERATURE","DISPLACEMENT"],
#"output_file_name" : "",
#"model_part_name" : "Main",
#"sub_model_part_name" : "Parts_Parts_Auto1"
#}
#""")
#if inverted:
#out_parameters["output_file_name"].SetString(input_filename+"_inverted.json")
#else:
#out_parameters["output_file_name"].SetString(input_filename+".json")
#out = json_output_process.JsonOutputProcess(self.model, out_parameters)
#out.ExecuteInitialize()
#out.ExecuteBeforeSolutionLoop()
#out.ExecuteFinalizeSolutionStep()
def test_less_basic_mortar_mapping_triangle_pure_implicit(self):
input_filename = os.path.dirname(
os.path.realpath(__file__)
) + "/auxiliar_files_for_python_unittest/mortar_mapper_python_tests/test_integration_several_triangles"
self._mapper_tests(input_filename, 3, 3, True)
def test_less_basic_mortar_mapping_triangle(self):
input_filename = os.path.dirname(
os.path.realpath(__file__)
) + "/auxiliar_files_for_python_unittest/mortar_mapper_python_tests/test_integration_several_triangles"
self._mapper_tests(input_filename, 3, 3)
def test_simple_curvature_mortar_mapping_triangle(self):
input_filename = os.path.dirname(
os.path.realpath(__file__)
) + "/auxiliar_files_for_python_unittest/mortar_mapper_python_tests/test_simple_curvature"
self._mapper_tests(input_filename, 3, 3)
def test_mortar_mapping_triangle(self):
input_filename = os.path.dirname(
os.path.realpath(__file__)
) + "/auxiliar_files_for_python_unittest/mortar_mapper_python_tests/test_double_curvature_integration_triangle"
self._mapper_tests(input_filename, 3, 3)
def test_mortar_mapping_triangle_discontinous_interface(self):
input_filename = os.path.dirname(
os.path.realpath(__file__)
) + "/auxiliar_files_for_python_unittest/mortar_mapper_python_tests/test_double_curvature_integration_triangle_discontinous_interface"
self._mapper_tests(input_filename, 3, 3, False, False, True)
def test_mortar_mapping_quad(self):
input_filename = os.path.dirname(
os.path.realpath(__file__)
) + "/auxiliar_files_for_python_unittest/mortar_mapper_python_tests/test_double_curvature_integration_quadrilateral"
self._mapper_tests(input_filename, 4, 4)
def test_mortar_mapping_quad_tri(self):
input_filename = os.path.dirname(
os.path.realpath(__file__)
) + "/auxiliar_files_for_python_unittest/mortar_mapper_python_tests/test_double_curvature_integration_triangle_quadrilateral"
self._mapper_tests(input_filename, 4, 3, False, False, False, False,
True)
def test_mortar_mapping_tri_quad(self):
input_filename = os.path.dirname(
os.path.realpath(__file__)
) + "/auxiliar_files_for_python_unittest/mortar_mapper_python_tests/test_double_curvature_integration_triangle_quadrilateral"
self._mapper_tests(input_filename, 3, 4, False, True, False, True,
False)
def __post_process(self, debug="GiD"):
if debug == "GiD":
self.gid_output = GiDOutputProcess(
self.main_model_part, "gid_output",
KratosMultiphysics.Parameters("""
{
"result_file_configuration" : {
"gidpost_flags": {
"GiDPostMode": "GiD_PostBinary",
"WriteDeformedMeshFlag": "WriteUndeformed",
"WriteConditionsFlag": "WriteConditionsOnly",
"MultiFileFlag": "SingleFile"
},
"nodal_results" : ["DISPLACEMENT","NORMAL","TEMPERATURE"],
"nodal_nonhistorical_results": ["NODAL_AREA","NODAL_MAUX","NODAL_VAUX"]
}
}
"""))
self.gid_output.ExecuteInitialize()
self.gid_output.ExecuteBeforeSolutionLoop()
self.gid_output.ExecuteInitializeSolutionStep()
self.gid_output.PrintOutput()
self.gid_output.ExecuteFinalizeSolutionStep()
self.gid_output.ExecuteFinalize()
elif debug == "VTK":
self.vtk_output_process = VtkOutputProcess(
self.model,
KratosMultiphysics.Parameters("""{
"model_part_name" : "Main",
"nodal_solution_step_data_variables" : ["DISPLACEMENT","NORMAL","TEMPERATURE"],
"nodal_data_value_variables": ["NODAL_AREA","NODAL_MAUX","NODAL_VAUX"]
}
"""))
self.vtk_output_process.ExecuteInitialize()
self.vtk_output_process.ExecuteBeforeSolutionLoop()
self.vtk_output_process.ExecuteInitializeSolutionStep()
self.vtk_output_process.PrintOutput()
self.vtk_output_process.ExecuteFinalizeSolutionStep()
self.vtk_output_process.ExecuteFinalize()
def __generate_discontinous_case(self, inverted):
counter_nodes = 0
for node in self.main_model_part.Nodes:
counter_nodes += 1
counter_conditions = 0
for cond in self.main_model_part.Conditions:
counter_conditions += 1
if inverted:
self.model_part_slave = self.main_model_part.GetSubModelPart(
"Parts_Parts_Auto2")
self.model_part_master = self.main_model_part.GetSubModelPart(
"Parts_Parts_Auto1")
else:
self.model_part_slave = self.main_model_part.GetSubModelPart(
"Parts_Parts_Auto1")
self.model_part_master = self.main_model_part.GetSubModelPart(
"Parts_Parts_Auto2")
for cond in self.model_part_slave.Conditions:
counter_conditions += 1
length = cond.GetGeometry().Area() * 0.01
list_nodes = []
for node in cond.GetNodes():
counter_nodes += 1
list_nodes.append(counter_nodes)
self.model_part_slave.CreateNewNode(counter_nodes,
node.X + length,
node.Y - length, node.Z)
node.Set(KratosMultiphysics.TO_ERASE)
cond.Set(KratosMultiphysics.TO_ERASE)
self.model_part_slave.CreateNewCondition(
"SurfaceCondition3D3N", counter_conditions, list_nodes,
self.main_model_part.GetProperties()[1])
self.main_model_part.RemoveNodesFromAllLevels(
KratosMultiphysics.TO_ERASE)
self.main_model_part.RemoveConditionsFromAllLevels(
KratosMultiphysics.TO_ERASE)
# Debug
#self.__post_process()
model_part_io = KratosMultiphysics.ModelPartIO(
GetFilePath(
"test_double_curvature_integration_triangle_discontinous_interface"
), KratosMultiphysics.IO.WRITE)
model_part_io.WriteModelPart(self.main_model_part)
def __sci_str(self, x):
s = 10 * Decimal(str(x))
s = ('{:.' + str(len(s.normalize().as_tuple().digits) - 1) +
'E}').format(s)
s = s.replace('E+', 'D0')
s = s.replace('E-', 'D0-')
s = s.replace('.', '')
if s.startswith('-'):
return '-.' + s[1:]
else:
return '.' + s