- displacementsThe displacements appropriate for the simulation geometry and coordinate system
C++ Type:std::vector<VariableName>
Controllable:No
Description:The displacements appropriate for the simulation geometry and coordinate system
Compute Axisymmetric RZ Finite Strain
Compute a strain increment for finite strains under axisymmetric assumptions.
Description
The material ComputeAxisymmetricRZFiniteStrain calculates the finite strain for 2D Axisymmetric systems.
Axisymmetric (cylindrical) materials are included in Tensor Mechanics for revolved geometries and assume symmetrical loading. These 'strain calculator' materials compute the strain within the appropriate coordinate system and rely on specialized AxisymmetricRZ kernels to handle the stress divergence.
warningwarning:Symmetry Assumed About the -axis
The axis of symmetry must lie along the -axis in a or cylindrical coordinate system. This symmetry orientation is required for the calculation of the residual and of the jacobian. See StressDivergenceRZTensors for the residual equation and the germane discussion.
The AxisymmetricRZ material is appropriate for a 2D simulation and assumes symmetry revolved about the z-axis. A 2D formulation of an appropriate simulation problem can reduce the simulation run time while preserving key physics. Axisymmetric simulations are appropriate to problems in which a solid is generated by revolving a planar area about an axis in the same plane.
commentnote:Use RZ Coordinate Type
The coordinate type in the Problem block of the input file must be set to COORD_TYPE = RZ.
Axisymmetric Strain Formulation
The axisymmetric model employs the cylindrical coordinates, , , and , where the planar cross section formed by the and axes is rotated about the axial axis, along the length of the cylinder, in the direction. The cylindrical coordinate system strain tensor for axisymmetric problems has the form
where the value of the strain depends on the displacement and position in the radial direction
Although axisymmetric problems solve for 3D stress and strain fields, the problem is mathematically 2D. Using an appropriate set of geometry and boundary conditions, these types of problems have strain and stress fields which are not functions of the out of plane coordinate variable. In the cylindrical coordinate axisymmetric system, the values of stress and strain in the direction do not depend on the coordinate.
commentnote:Notation Order Change
The axisymmetric system changes the order of the displacement vector from , usually seen in textbooks, to . Take care to follow this convention in your input files and when adding eigenstrains or extra stresses.
Once the deformation gradient is calculated for the specific 2D geometry, the deformation gradient is passed to the strain and rotation methods used by default 3D Cartesian simulations, as described in the Finite Strain Class page.
Example Input File
[./strain1]
type = ComputeAxisymmetricRZFiniteStrain
block = 1
[../]
Input Parameters
- base_nameOptional parameter that allows the user to define multiple mechanics material systems on the same block, i.e. for multiple phases
C++ Type:std::string
Controllable:No
Description:Optional parameter that allows the user to define multiple mechanics material systems on the same block, i.e. for multiple phases
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
- computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
Default:True
C++ Type:bool
Controllable:No
Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
- constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Controllable:No
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
- declare_suffixAn optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Controllable:No
Description:An optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
- decomposition_methodTaylorExpansionMethods to calculate the strain and rotation increments
Default:TaylorExpansion
C++ Type:MooseEnum
Controllable:No
Description:Methods to calculate the strain and rotation increments
- eigenstrain_namesList of eigenstrains to be applied in this strain calculation
C++ Type:std::vector<MaterialPropertyName>
Controllable:No
Description:List of eigenstrains to be applied in this strain calculation
- global_strainOptional material property holding a global strain tensor applied to the mesh as a whole
C++ Type:MaterialPropertyName
Controllable:No
Description:Optional material property holding a global strain tensor applied to the mesh as a whole
- out_of_plane_directionzThe direction of the out-of-plane strain.
Default:z
C++ Type:MooseEnum
Controllable:No
Description:The direction of the out-of-plane strain.
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- volumetric_locking_correctionFalseFlag to correct volumetric locking
Default:False
C++ Type:bool
Controllable:No
Description:Flag to correct volumetric locking
Optional Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
Advanced Parameters
- output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector<std::string>
Controllable:No
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
- outputsnone Vector of output names where you would like to restrict the output of variables(s) associated with this object
Default:none
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object