ConcreteThermalTimeIntegration

Time derivative term for heat transfer in concrete.

Description

This kernel provides the time derivative (thermal capacity) term in the governing partial differential equation for heat transfer in concrete given by Bažant et al. (1982) and Saouma et al. (2014) as

(1)var element = document.getElementById("moose-equation-e9b0354d-a2ec-4966-8c0b-cbbc9feb62de");katex.render("\\rho C\\frac{\\partial{T}}{\\partial{t}}", element, {displayMode:true,throwOnError:false});

where:

$var element = document.getElementById("moose-equation-9e9c73ba-8706-42a6-8ec8-bff6a28a34d2");katex.render("\\rho", element, {displayMode:false,throwOnError:false});$ = density in kg/m $var element = document.getElementById("moose-equation-d3759fd0-2658-4fa7-8059-1e5561810cf0");katex.render("^3", element, {displayMode:false,throwOnError:false});$
$var element = document.getElementById("moose-equation-e2dcfdf5-5866-43bb-b986-6e59cc92592d");katex.render("C", element, {displayMode:false,throwOnError:false});$ = specific heat of concrete in J/kg $var element = document.getElementById("moose-equation-8e9129a8-5401-4464-8174-6b5b4e7558e2");katex.render("\\degree", element, {displayMode:false,throwOnError:false});$ C
$var element = document.getElementById("moose-equation-9a0bc115-95b3-4d0a-a0af-377637b28fe6");katex.render("T", element, {displayMode:false,throwOnError:false});$ = temperature in $var element = document.getElementById("moose-equation-c2ee45f0-935d-48ec-ab55-ae742779fde2");katex.render("\\degree", element, {displayMode:false,throwOnError:false});$ C
$var element = document.getElementById("moose-equation-4759706b-bda0-4d6e-8678-7dc7418ee680");katex.render("t", element, {displayMode:false,throwOnError:false});$ = time in $var element = document.getElementById("moose-equation-9c84acba-3870-4916-aced-8ba3a394ddea");katex.render("s", element, {displayMode:false,throwOnError:false});$

Input Parameters

variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this residual object operates on

Required Parameters

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
displacementsThe displacements
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The displacements
lumpingFalseTrue for mass matrix lumping, false otherwise
Default:False
C++ Type:bool
Controllable:No
Description:True for mass matrix lumping, false otherwise
matrix_onlyFalseWhether this object is only doing assembly to matrices (no vectors)
Default:False
C++ Type:bool
Controllable:No
Description:Whether this object is only doing assembly to matrices (no vectors)
property_namethermal_capacityHeat capacity material property
Default:thermal_capacity
C++ Type:std::string
Controllable:No
Description:Heat capacity material property

Optional Parameters

absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the matrices this Kernel should fill
extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the vectors this Kernel should fill
matrix_tagssystem timeThe tag for the matrices this Kernel should fill
Default:system time
C++ Type:MultiMooseEnum
Options:nontime, system, time
Controllable:No
Description:The tag for the matrices this Kernel should fill
vector_tagstimeThe tag for the vectors this Kernel should fill
Default:time
C++ Type:MultiMooseEnum
Options:nontime, time
Controllable:No
Description:The tag for the vectors this Kernel should fill

Contribution To Tagged Field Data 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.
diag_save_inThe name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
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
save_inThe name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
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
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
Controllable:No
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.

Advanced Parameters

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
Unit:(no unit assumed)
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.
use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.

Material Property Retrieval Parameters

References

Zdeněk P Bažant, Jenn-Chuan Chern, and Werapol Thonguthai. Finite element program for moisture and heat transfer in heated concrete. Nuclear Engineering and Design, 68(1):61–70, 1982.

@article{bazant1982finite,
    Author = "Ba{\v{z}}ant, Zden{\v{e}}k P and Chern, Jenn-Chuan and Thonguthai, Werapol",
    Journal = "Nuclear Engineering and Design",
    Number = "1",
    Pages = "61--70",
    Publisher = "Elsevier",
    Title = "Finite element program for moisture and heat transfer in heated concrete",
    Volume = "68",
    Year = "1982"
}

Victor Saouma, Mohammad Hariri-Ardebili, Wiwat Puatatsananon, and Yann Le Pape. Structural significance of alkali-silica reaction in massive reinforced concrete structures. Technical Report ORNL/TM-2014/489, Oak Ridge National Laboratory, 2014.

@techreport{saouma_structural_2014,
    Author = "Saouma, Victor and Hariri-Ardebili, Mohammad and Puatatsananon, Wiwat and Pape, Yann Le",
    Institution = "Oak Ridge National Laboratory",
    Number = "ORNL/TM-2014/489",
    Title = "Structural Significance of Alkali-Silica Reaction in Massive Reinforced Concrete Structures",
    Year = "2014"
}

Description
Input Parameters
References

Usage

Development

Demonstration