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import pyvista as pv | ||
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mesh = pv.read("simple_3d_bbar_ts_1_t_1.000000.vtu") | ||
E = 1.0e10 | ||
nv = 0.499 | ||
p = 1e7 | ||
|
||
sigma_analytical = mesh.point_data["sigma"] | ||
sigma_analytical[:, 0] = 0.0 | ||
sigma_analytical[:, 1] = 0.0 | ||
sigma_analytical[:, 2] = -p | ||
sigma_analytical[:, 3] = 0.0 | ||
sigma_analytical[:, 4] = 0.0 | ||
sigma_analytical[:, 5] = 0.0 | ||
mesh.point_data["analytic_sigma"] = sigma_analytical | ||
|
||
eps_analytical = mesh.point_data["epsilon"] | ||
eps_1 = -p / E | ||
eps_0 = -eps_1 * nv | ||
eps_analytical[:, 0] = eps_0 | ||
eps_analytical[:, 1] = eps_0 | ||
eps_analytical[:, 2] = eps_1 | ||
eps_analytical[:, 3] = 0.0 | ||
eps_analytical[:, 4] = 0.0 | ||
eps_analytical[:, 5] = 0.0 | ||
mesh.point_data["analytic_eps"] = eps_analytical | ||
|
||
|
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u_analytical = mesh.point_data["displacement"] | ||
u_analytical[:, 0] = eps_0 * mesh.points[:, 0] | ||
u_analytical[:, 1] = eps_0 * mesh.points[:, 1] | ||
u_analytical[:, 2] = eps_1 * mesh.points[:, 2] | ||
mesh.point_data["analytic_displacement"] = u_analytical | ||
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mesh.save("simple_3d_bbar_ts_1_t_1.000000.vtu") | ||
# mesh.plot(scalars="analytic_displacement") |
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<?xml version="1.0"?> | ||
<VTKFile type="UnstructuredGrid" version="1.0" byte_order="LittleEndian" header_type="UInt64"> | ||
<UnstructuredGrid> | ||
<Piece NumberOfPoints="63" NumberOfCells="40"> | ||
<PointData> | ||
<DataArray type="UInt64" Name="bulk_node_ids" format="binary" RangeMin="0" RangeMax="62"> | ||
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<DataArray type="Int32" Name="MaterialIDs" format="binary" RangeMin="0" RangeMax="0"> | ||
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</CellData> | ||
<Points> | ||
<DataArray type="Float64" Name="Points" NumberOfComponents="3" format="binary" RangeMin="0" RangeMax="1.004987562112089"> | ||
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<InformationKey name="L2_NORM_RANGE" location="vtkDataArray" length="2"> | ||
<Value index="0"> | ||
0 | ||
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<Value index="1"> | ||
1.0049875621 | ||
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</InformationKey> | ||
</DataArray> | ||
</Points> | ||
<Cells> | ||
<DataArray type="Int64" Name="connectivity" format="binary" RangeMin="0" RangeMax="62"> | ||
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</DataArray> | ||
<DataArray type="Int64" Name="offsets" format="binary" RangeMin="4" RangeMax="160"> | ||
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</UnstructuredGrid> | ||
</VTKFile> |
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<?xml version="1.0"?> | ||
<VTKFile type="UnstructuredGrid" version="1.0" byte_order="LittleEndian" header_type="UInt64"> | ||
<UnstructuredGrid> | ||
<Piece NumberOfPoints="1" NumberOfCells="1" > | ||
<PointData> | ||
<DataArray type="UInt64" Name="bulk_node_ids" format="appended" RangeMin="0" RangeMax="0" offset="0" /> | ||
</PointData> | ||
<CellData> | ||
<DataArray type="UInt64" Name="bulk_element_ids" format="appended" RangeMin="0" RangeMax="0" offset="24" /> | ||
</CellData> | ||
<Points> | ||
<DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0" RangeMax="0" offset="48" /> | ||
</Points> | ||
<Cells> | ||
<DataArray type="Int64" Name="connectivity" format="appended" RangeMin="" RangeMax="" offset="92" /> | ||
<DataArray type="Int64" Name="offsets" format="appended" RangeMin="" RangeMax="" offset="116" /> | ||
<DataArray type="UInt8" Name="types" format="appended" RangeMin="" RangeMax="" offset="140" /> | ||
</Cells> | ||
</Piece> | ||
</UnstructuredGrid> | ||
<AppendedData encoding="base64"> | ||
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</VTKFile> |
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<?xml version="1.0" encoding="ISO-8859-1"?> | ||
<OpenGeoSysProject> | ||
<meshes> | ||
<mesh>hex_brick.vtu</mesh> | ||
<mesh>x0.vtu</mesh> | ||
<mesh>y0.vtu</mesh> | ||
<mesh>top.vtu</mesh> | ||
<mesh>bottom.vtu</mesh> | ||
</meshes> | ||
<processes> | ||
<process> | ||
<name>SD</name> | ||
<type>SMALL_DEFORMATION</type> | ||
<integration_order>3</integration_order> | ||
<use_b_bar>true</use_b_bar> | ||
<constitutive_relation> | ||
<type>LinearElasticIsotropic</type> | ||
<youngs_modulus>E</youngs_modulus> | ||
<poissons_ratio>nu</poissons_ratio> | ||
</constitutive_relation> | ||
<specific_body_force>0 0 0</specific_body_force> | ||
<process_variables> | ||
<process_variable>displacement</process_variable> | ||
</process_variables> | ||
<secondary_variables> | ||
<secondary_variable internal_name="epsilon" output_name="epsilon"/> | ||
<secondary_variable internal_name="sigma" output_name="sigma"/> | ||
</secondary_variables> | ||
</process> | ||
</processes> | ||
<time_loop> | ||
<processes> | ||
<process ref="SD"> | ||
<nonlinear_solver>basic_newton</nonlinear_solver> | ||
<convergence_criterion> | ||
<type>PerComponentDeltaX</type> | ||
<norm_type>NORM2</norm_type> | ||
<reltols> 1.0e-13 1.0e-13 1e-13</reltols> | ||
</convergence_criterion> | ||
<time_discretization> | ||
<type>BackwardEuler</type> | ||
</time_discretization> | ||
<time_stepping> | ||
<type>FixedTimeStepping</type> | ||
<t_initial> 0.0 </t_initial> | ||
<t_end>1</t_end> | ||
<timesteps> | ||
<pair> | ||
<repeat>1</repeat> | ||
<delta_t>1</delta_t> | ||
</pair> | ||
</timesteps> | ||
</time_stepping> | ||
</process> | ||
</processes> | ||
<output> | ||
<type>VTK</type> | ||
<prefix>simple_3d_bbar</prefix> | ||
<timesteps> | ||
<pair> | ||
<repeat> 1 </repeat> | ||
<each_steps> 1 </each_steps> | ||
</pair> | ||
</timesteps> | ||
<variables> | ||
<variable>displacement</variable> | ||
<variable>epsilon</variable> | ||
<variable>sigma</variable> | ||
</variables> | ||
<suffix>_ts_{:timestep}_t_{:time}</suffix> | ||
</output> | ||
</time_loop> | ||
<media> | ||
<medium> | ||
<phases> | ||
<phase> | ||
<type>Solid</type> | ||
<properties> | ||
<property> | ||
<name>density</name> | ||
<type>Parameter</type> | ||
<parameter_name>rho</parameter_name> | ||
</property> | ||
</properties> | ||
</phase> | ||
</phases> | ||
</medium> | ||
</media> | ||
<parameters> | ||
<parameter> | ||
<name>E</name> | ||
<type>Constant</type> | ||
<value>1.0E+10</value> | ||
</parameter> | ||
<parameter> | ||
<name>nu</name> | ||
<type>Constant</type> | ||
<value>0.499</value> | ||
</parameter> | ||
<parameter> | ||
<name>rho</name> | ||
<type>Constant</type> | ||
<value>0.0</value> | ||
</parameter> | ||
<parameter> | ||
<name>zero</name> | ||
<type>Constant</type> | ||
<value>0.0</value> | ||
</parameter> | ||
<parameter> | ||
<name>u0</name> | ||
<type>Constant</type> | ||
<values>0 0 0</values> | ||
</parameter> | ||
<parameter> | ||
<name>load</name> | ||
<type>Constant</type> | ||
<values>-10e+6</values> | ||
</parameter> | ||
</parameters> | ||
<process_variables> | ||
<process_variable> | ||
<name>displacement</name> | ||
<components>3</components> | ||
<order>1</order> | ||
<initial_condition>u0</initial_condition> | ||
<boundary_conditions> | ||
<boundary_condition> | ||
<mesh>bottom</mesh> | ||
<type>Dirichlet</type> | ||
<component>2</component> | ||
<parameter>zero</parameter> | ||
</boundary_condition> | ||
<boundary_condition> | ||
<mesh>x0</mesh> | ||
<type>Dirichlet</type> | ||
<component>0</component> | ||
<parameter>zero</parameter> | ||
</boundary_condition> | ||
<boundary_condition> | ||
<mesh>y0</mesh> | ||
<type>Dirichlet</type> | ||
<component>1</component> | ||
<parameter>zero</parameter> | ||
</boundary_condition> | ||
<boundary_condition> | ||
<mesh>top</mesh> | ||
<type>Neumann</type> | ||
<component>2</component> | ||
<parameter>load</parameter> | ||
</boundary_condition> | ||
</boundary_conditions> | ||
</process_variable> | ||
</process_variables> | ||
<nonlinear_solvers> | ||
<nonlinear_solver> | ||
<name>basic_newton</name> | ||
<type>Newton</type> | ||
<max_iter>10</max_iter> | ||
<linear_solver>general_linear_solver</linear_solver> | ||
</nonlinear_solver> | ||
</nonlinear_solvers> | ||
<linear_solvers> | ||
<linear_solver> | ||
<name>general_linear_solver</name> | ||
<eigen> | ||
<solver_type>SparseLU</solver_type> | ||
<scaling>true</scaling> | ||
</eigen> | ||
</linear_solver> | ||
</linear_solvers> | ||
</OpenGeoSysProject> |
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