- displacementsThe displacements appropriate for the simulation geometry and coordinate system
C++ Type:std::vector

Description:The displacements appropriate for the simulation geometry and coordinate system

# Compute Axisymmetric 1D Small Strain

Compute a small strain in an Axisymmetric 1D problem

## Description

The material `ComputeAxisymmetric1DSmallStrain`

calculates the small total strain for 1D Axisymmetric systems and is intended for use with Generalized Plane Strain simulations. This material assumes symmetry about the -axis. This 'strain calculator' material computes the strain within the cylindrical coordinate system and relies on the specialized Axisymmetric RZ kernel to handle the stress divergence calcuation.

The axis of symmetry must lie along the -axis in a 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.

## 1D Axisymmetric Strain Formulation

The axisymmetric model uses the cylindrical coordinates, , , and , where the linear section formed by the axis is rotated about the axis in the direction.

The definition of a small total linearized strain is (1) In this asixymmetric 1D formulation, the strain tensor is diagonal. Eq. (1) is therefore implemented in a straight-forward manner as (2) where the components of the strain tensor in Eq. (2) are given as (3) where is a prescribed out-of-plane strain value: this strain value can be given either as a scalar variable or a nonlinear variable. The Generalized Plane Strain problems use scalar variables. The value of the strain depends on the displacement and position in the radial direction.

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.

## Example Input File

The coordinate type in the Problem block of the input file must be set to ** COORD_TYPE = RZ**.

The common use of the `ComputeAxisymmetric1DSmallStrain`

class is with the Generalized Plane Strain system; this type of simulation uses the scalar strain variables

```
[./strain]
type = ComputeAxisymmetric1DSmallStrain
eigenstrain_names = eigenstrain
scalar_out_of_plane_strain = scalar_strain_yy
[../]
```

(modules/tensor_mechanics/test/tests/1D_axisymmetric/axisymm_gps_small.i)which uses a scalar variable for the coupled out-of-plane strain; the arguement for the `scalar_out_of_plane_strain`

parameter is the name of the scalar strain variable:

```
[./scalar_strain_yy]
order = FIRST
family = SCALAR
[../]
```

(modules/tensor_mechanics/test/tests/1D_axisymmetric/axisymm_gps_small.i)## Input Parameters

- scalar_out_of_plane_strainScalar variable for axisymmetric 1D problem
C++ Type:std::vector

Description:Scalar variable for axisymmetric 1D problem

- computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the Material via MaterialPropertyInterface::getMaterial(). Non-computed Materials are not sorted for dependencies.
Default:True

C++ Type:bool

Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the Material via MaterialPropertyInterface::getMaterial(). Non-computed Materials are not sorted for dependencies.

- 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

Description:Optional parameter that allows the user to define multiple mechanics material systems on the same block, i.e. for multiple phases

- global_strainOptional material property holding a global strain tensor applied to the mesh as a whole
C++ Type:MaterialPropertyName

Description:Optional material property holding a global strain tensor applied to the mesh as a whole

- eigenstrain_namesList of eigenstrains to be applied in this strain calculation
C++ Type:std::vector

Description:List of eigenstrains to be applied in this strain calculation

- volumetric_locking_correctionFalseFlag to correct volumetric locking
Default:False

C++ Type:bool

Description:Flag to correct volumetric locking

- out_of_plane_strainNonlinear variable for axisymmetric 1D problem
C++ Type:std::vector

Description:Nonlinear variable for axisymmetric 1D problem

- boundaryThe list of boundary IDs from the mesh where this boundary condition applies
C++ Type:std::vector

Description:The list of boundary IDs from the mesh where this boundary condition applies

- blockThe list of block ids (SubdomainID) that this object will be applied
C++ Type:std::vector

Description:The list of block ids (SubdomainID) that this object will be applied

- subblock_index_providerSubblockIndexProvider user object name
C++ Type:UserObjectName

Description:SubblockIndexProvider user object name

### Optional Parameters

- output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector

Description:List of material properties, from this material, to output (outputs must also be defined to an output type)

- outputsnone Vector of output names were you would like to restrict the output of variables(s) associated with this object
Default:none

C++ Type:std::vector

Description:Vector of output names were you would like to restrict the output of variables(s) associated with this object

### Outputs Parameters

- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector

Description:Adds user-defined labels for accessing object parameters via control logic.

- enableTrueSet the enabled status of the MooseObject.
Default:True

C++ Type:bool

Description:Set the enabled status of the MooseObject.

- seed0The seed for the master random number generator
Default:0

C++ Type:unsigned int

Description:The seed for the master random number generator

- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True

C++ Type:bool

Description:Determines whether this object is calculated using an implicit or explicit form

- 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 computeSubdomainProperties() 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

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 computeSubdomainProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped

### Advanced Parameters

## Input Files

- modules/tensor_mechanics/test/tests/1D_axisymmetric/axisymm_gps_small.i
- modules/combined/test/tests/1D_axisymmetric/axisymmetric_gps_small.i
- modules/tensor_mechanics/test/tests/1D_axisymmetric/axisymm_plane_strain_small.i