# Uvar element = document.getElementById("moose-equation-9d5f20ca-d76e-492c-ac1b-815b8590f8a0");katex.render("_3", element, {displayMode:false,throwOnError:false});Sivar element = document.getElementById("moose-equation-70743a16-74fe-4252-9e8e-ec74bc9cc863");katex.render("_2", element, {displayMode:false,throwOnError:false});Thermal Expansion Eigenstrain

Computes eigenstrain due to thermal expansion using a function that describes the instantaneous thermal expansion as a function of temperature for U3Si2 fuel.

## Description

The U3Si2ThermalExpansionEigenstrain material class calculates the strain due to thermal expansion for USi fuel. The correlation from the USi handbook White (2017) describes the instantaneous linear thermal expansion coefficient (K) as a function of temperature:

For 273 K T 1473 K:

(1)

An incremental approach using the average coefficient of thermal expansion over the time step given the incremental temperature change is used for computing the thermal strain: (2)

where refers to the current time step and refers to the previous time step.

## Example Input Syntax


[./thermal_eigenstrain]
type = U3Si2ThermalExpansionEigenstrain
block = 0
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = thermal_eigenstrain
[../]
(test/tests/tensor_mechanics/u3si2_eigenstrains/thermal_expansion/thermal_expansion.i)

The eigenstrain_name parameter value must also be set for the strain calculator, and an example parameter setting is shown below:


[./strain]
type = ComputeFiniteStrain
block = 0
eigenstrain_names = thermal_eigenstrain
[../]
(test/tests/tensor_mechanics/u3si2_eigenstrains/thermal_expansion/thermal_expansion.i)

## Input Parameters

• stress_free_temperatureReference temperature at which there is no thermal expansion for thermal eigenstrain calculation

C++ Type:std::vector

Description:Reference temperature at which there is no thermal expansion for thermal eigenstrain calculation

• eigenstrain_nameMaterial property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator.

C++ Type:std::string

Description:Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator.

### Required Parameters

• 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.

• temperatureCoupled temperature

C++ Type:std::vector

Description:Coupled temperature

• 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

• 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

### Optional Parameters

• enableTrueSet the enabled status of the MooseObject.

Default:True

C++ Type:bool

Description:Set the enabled status of the MooseObject.

• use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Default:False

C++ Type:bool

Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

• 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.

• 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

• 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

## References

1. J. T. White. Issue draft U$_3$Si$_2$ fuel property handbook. Technical Report LA-UR-17-20609, Los Alamos National Laboratory, 2017.[BibTeX]