# Mo Elasticity Tensor

Calculates the Young's modulus for Molybdenum cladding as a function of temperature; Poisson's ratio is held constant

## Description

Mo refers to the pure form of Molybdenum with the chemical composition by weight >99.97%. This class, MoElasticityTensor, finds the value of the Youngs modulus as a function of temperature. (1) where is temperature in Poisson's ratio is assumed constant for the full operating temperature range of the material.

The above expression is compared to the equation provided by Farraro and Mclellan (1977) and to a data table provided by UCSD (2003). The comparison is presented in Figure 1. It can be seen that the Bison equation compares well with other two curves.

Figure 1: Youngs Modulus versus Temperature.

## Example Input Syntax

[./elasticity_tensor]
type = MoElasticityTensor
temperature = temperature
block = 1
[../]
(test/tests/tensor_mechanics/mo_mechanics/combined_temperature_mechanics.i)

## Input Parameters

• temperatureCoupled temperature

C++ Type:std::vector

Description:Coupled temperature

### Required Parameters

• 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

• 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.

• 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

• 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

• elasticity_tensor_prefactorOptional function to use as a scalar prefactor on the elasticity tensor.

C++ Type:FunctionName

Description:Optional function to use as a scalar prefactor on the elasticity tensor.

### 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. R Farraro and Rex B Mclellan. Temperature dependence of the young's modulus and shear modulus of pure nickel, platinum, and molybdenum. Metallurgical and Materials Transactions A, 8(10):1563â€“1565, 1977.[BibTeX]
2. UCSD. Molybdenum and its Alloys. http://www-ferp.ucsd.edu/LIB/PROPS/PANOS/moa.aspx, 2003.[BibTeX]