# Zircaloy Elasticity Tensor

Either provides constant elasticty constants for Zircaloy cladding or calculates the Young's modulus and Poisson's ratio for Zircaloy cladding using MATPRO relations as a function of temperature and fast neutron fluence.

## Description

This class, ZryElasticityTensor, determines the Young's modulus and Poisson's ratio of Zircaloy: the user can select whether to use the predetermined constant values for Zircaloy or can select to use MATPRO functions to calculate changing values for these elastic constants.

### Constant Elastic Constants

The preset elastic constant values are given in Eq. 1. The use of these constant values is the default behavior for this class. (1) Both the Young's modulus and the Poisson's ratio are held constant for the full operating temperature range of the material if the MATPRO options are not activated.

### MATPRO Calculated Variable Constants

If the user selects to use the MATPRO options, the MATPRO functions celmod and cshear are used to calculate the Young's modulus and shear modulus, respectively, as a function of temperature (K), fast neutron fluence (n/m^2), amount of cold work (dimensionless) and average oxygen concentration minus the initial oxygen concentration of the as-recevied cladding (Siefken et al., 2001). The Poisson's ratio is calculated from the Young's and shear moduli.

## Example Input Syntax

[./elasticity_tensor]
type = ZryElasticityTensor
temperature = temp
matpro_poissons_ratio = true
matpro_youngs_modulus = true
[../]
(test/tests/tensor_mechanics/zry_mechanics/elastic_modulus_zry_tm.i)

## Input Parameters

• cold_work_factor0cold work factor - between 0.0 and 0.75

Default:0

C++ Type:double

Description:cold work factor - between 0.0 and 0.75

• fast_neutron_fluenceThe fast neutron fluence

C++ Type:std::vector

Description:The fast neutron fluence

• matpro_youngs_modulusFalseFlag for using MATPRO to compute Young's modulus

Default:False

C++ Type:bool

Description:Flag for using MATPRO to compute Young's modulus

• 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.

• 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.

• 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

• matpro_poissons_ratioFalseFlag for using MATPRO to compute Poisson's ratio

Default:False

C++ Type:bool

Description:Flag for using MATPRO to compute Poisson's ratio

• oxygen_concentration0Oxygen concentration (ppm)

Default:0

C++ Type:double

Description:Oxygen concentration (ppm)

• initial_fast_fluence0The initial fast neutron fluence

Default:0

C++ Type:double

Description:The initial fast neutron fluence

• 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

• temperatureCoupled temperature

C++ Type:std::vector

Description:Coupled temperature

### 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. LJ Siefken, EW Coryell, EA Harvego, and JK Hohorst. SCDAP/RELAP5/MOD3.3 Code Manual: MATPROâ€“A Library of Materials Properties for Light-Water-Reactor Accident Analysis. Technical Report NUREG/CR-6150, Vol.4, Rev.2, U.S. Nuclear Regulatory Commission, 2001.[BibTeX]