Package “precipitation”

class tc_toolbox.precipitation.FixedGrainSize

Factory class providing objects representing a grain growth model.

Constructor Summary
FixedGrainSize(grain_radius)

Fixed grain radius size. Default: 1.0E-4 m

Parameters:

grain_radius – The grain radius / size [m]

Property Summary
Method Summary
static fixed_grain_size(grain_radius)

Fixed grain radius size. Default: 1.0E-4 m

Parameters:

grain_radius – The grain radius / size [m]

static grain_growth(grain_size_distribution)

Sets the initial grain size distribution for the matrix. Default: If the initial grain size distribution is not explicitly provided, a constant average grains size will be used and no grain growth evaluated during the simulation.

Tip

Use this option if you want to study the further evolution of an existing microstructure.

Parameters:

grain_size_distribution – grain size distribution

set_grain_aspect_ratio(grain_aspect_ratio)

Enter a numerical value. Default: 1.0.

Parameters:

grain_aspect_ratio – The grain aspect ratio [-]

class tc_toolbox.precipitation.GrainGrowth

Factory class providing objects representing a grain growth model.

Constructor Summary
GrainGrowth(grain_size_distribution)

Sets the initial grain size distribution for the matrix. Default: If the initial grain size distribution is not explicitly provided, a constant average grains size will be used and no grain growth evaluated during the simulation.

Tip

Use this option if you want to study the further evolution of an existing microstructure.

Parameters:

grain_size_distribution – grain size distribution

Property Summary
Method Summary
disable_zener_pinning()

Disable Zener pinning to ignore the particle pinning effect on the grain growth. Zener pinning is by default disabled when no grain size distribution is defined, i.e. a single constant grain size is used. The setting is by default enabled when a grain size distribution is defined.

Returns:

This GrainSizeDistribution object

enable_zener_pinning()

Enable Zener pinning to simulate the particle pinning effect on the grain growth. The setting is by default enabled when a grain size distribution is defined.

Returns:

This GrainSizeDistribution object

static fixed_grain_size(grain_radius)

Fixed grain radius size. Default: 1.0E-4 m

Parameters:

grain_radius – The grain radius / size [m]

static grain_growth(grain_size_distribution)

Sets the initial grain size distribution for the matrix. Default: If the initial grain size distribution is not explicitly provided, a constant average grains size will be used and no grain growth evaluated during the simulation.

Tip

Use this option if you want to study the further evolution of an existing microstructure.

Parameters:

grain_size_distribution – grain size distribution

set_grain_boundary_energy(energy)

Set the energy of the grain boundary.

Parameters:

energy – The grain boundary energy [J/m2]

Returns:

This GrainSizeDistribution object

set_grain_boundary_mobility_activation_energy(activation_energy)

Set the grain boundary mobility activation energy where the mobility is defined by an Arrhenius type of equation.

Parameters:

activation_energy – The mobility activation energy [J/mol]

Returns:

This GrainSizeDistribution object

set_grain_boundary_mobility_pre_factor(pre_factor)

Set the grain boundary mobility prefactor where the mobility is defined by an Arrhenius type of equation.

Parameters:

pre_factor – The grain boundary mobility pre factor [m^4/(J s)]

Returns:

This GrainSizeDistribution object

class tc_toolbox.precipitation.GrainGrowthModel

Factory class providing objects representing a grain growth model.

Method Summary
static fixed_grain_size(grain_radius)

Fixed grain radius size. Default: 1.0E-4 m

Parameters:

grain_radius – The grain radius / size [m]

static grain_growth(grain_size_distribution)

Sets the initial grain size distribution for the matrix. Default: If the initial grain size distribution is not explicitly provided, a constant average grains size will be used and no grain growth evaluated during the simulation.

Tip

Use this option if you want to study the further evolution of an existing microstructure.

Parameters:

grain_size_distribution – grain size distribution

class tc_toolbox.precipitation.GrainSizeDistribution

Represents the grain size distribution at a certain time.

Constructor Summary
GrainSizeDistribution()

Constructs an instance of GrainSizeDistribution.

Property Summary
Method Summary
add_radius_and_number_density(radius, number_density)

Adds a radius and number density pair to the grain size distribution.

Parameters:
  • radius – The radius [m]

  • number_density – The number of grains per unit volume per unit length [m^-4]

Returns:

This GrainSizeDistribution object

class tc_toolbox.precipitation.GrowthRateModel

Choice of the used growth rate model for a precipitate.

The most efficient model is the Simplified model, which is the default and applicable to most alloy systems under the assumption that either the supersaturation is small, or the alloying elements have comparable diffusivity. If all alloying elements are substitutional but they have remarkable diffusivity difference, e.g. in Al-Zr system, or if the diffusivity is strongly composition-dependent, the General model is preferred. If the supersaturation is high, and meanwhile there are fast-diffusing interstitial elements such as C, the Advanced model is more appropriate to capture the NPLE mechanism.

class tc_toolbox.precipitation.MatrixPhase

The matrix phase in a precipitation calculation

Constructor Summary
MatrixPhase(matrix_phase_name)
Property Summary
Method Summary
add_precipitate_phase(precipitate_phase)

Adds a precipitate phase.

Parameters:

precipitate_phase – The precipitate phase

set_dislocation_density(dislocation_density)

Enter a numerical value. Default: 5.0E12 m^-2.

Parameters:

dislocation_density – The dislocation density [m^-2]

set_mobility_adjustment(element, prefactor, activation_energy)

A value that adds to the activation energy of mobility data from the database.

Parameters:
  • element – The alement to apply the adjustment for. If “all” is given, adjustment will apply to all elements.

  • prefactor – A parameter that multiplies to the mobility data from a database. This value scales the mobility by a constant amount. This can be useful, for example, when the material has a higher than normal vacancy concentration at the start of the precipitation simulation (e.g. from a prior solutionizing and quenching treatment).

  • activation_energy – A value that adds to the activation energy of mobility data from a database. It scales the mobility by a temperature dependent amount. Similar usage as mobility adjustment prefactor. [J/mol]

set_molar_volume(volume)

Sets the molar volume of the phase.

Default: If not set, the molar volume is taken from the thermodynamic database (or set to 7.0e-6 m^3/mol if the database contains no molar volume information).

Parameters:

volume – The molar volume [m^3/mol]

with_elastic_properties_cubic(c11, c12, c44)

Sets the elastic properties to “cubic” and specifies the elastic stiffness tensor components. Default: if not chosen, the default is DISREGARD

Parameters:
  • c11 – The stiffness tensor component c11 [GPa]

  • c12 – The stiffness tensor component c12 [GPa]

  • c44 – The stiffness tensor component c44 [GPa]

with_elastic_properties_disregard()

Set to disregard to ignore the elastic properties. Default: This is the default option

with_elastic_properties_isotropic(shear_modulus, poisson_ratio)

Sets elastic properties to isotropic. Default: if not chosen, the default is DISREGARD

Parameters:
  • shear_modulus – The shear modulus [GPa]

  • poisson_ratio – The Poisson’s ratio [-]

with_grain_growth_model(grain_growth_model)

Sets the model for grain growth. Either fixed size or with a starting distribution

Default: Fixed grain radius size 1.0E-4 m

Parameters:

grain_growth_model – the grain growth model

class tc_toolbox.precipitation.NumericalParameters

Numerical parameters

Constructor Summary
NumericalParameters()

Constructs an instance of NumericalParameters.

Property Summary
Method Summary
set_max_overall_volume_change(max_overall_volume_change)

This defines the maximum absolute (not ratio) change of the volume fraction allowed during one time step. Default: 0.001

Parameters:

max_overall_volume_change – The maximum absolute (not ratio) change of the volume fraction allowed during one time step [-]

set_max_radius_points_per_magnitude(max_radius_points_per_magnitude)

Sets the maximum number of grid points over one order of magnitude in radius. Default: 200.0

Parameters:

max_radius_points_per_magnitude – The maximum number of grid points over one order of magnitude in radius [-]

set_max_rel_change_critical_radius(max_rel_change_critical_radius)

Used to place a constraint on how fast the critical radium can vary, and thus put a limit on time step. Default: 0.1

Parameters:

max_rel_change_critical_radius – The maximum relative change of the critical radius [-]

set_max_rel_change_nucleation_rate_log(max_rel_change_nucleation_rate_log)

This parameter ensures accuracy for the evolution of effective nucleation rate. Default: 0.5

Parameters:

max_rel_change_nucleation_rate_log – The maximum logarithmic relative change of the nucleation rate [-]

set_max_rel_radius_change(max_rel_radius_change)

The maximum value allowed for relative radius change in one time step. Default: 0.01

Parameters:

max_rel_radius_change – The maximum relative radius change in one time step [-]

set_max_rel_solute_composition_change(max_rel_solute_composition_change)

Set a limit on the time step by controlling solute depletion or saturation, especially at isothermal stage. Default: 0.01

Parameters:

max_rel_solute_composition_change – The limit for the relative solute composition change [-]

set_max_time_step(max_time_step)

The maximum time step allowed for time integration as fraction of the simulation time. Default: 0.1

Parameters:

max_time_step – The maximum time step as fraction of the simulation time [-]

set_max_time_step_during_heating(max_time_step_during_heating)

The upper limit of the time step that has been enforced in the heating stages. Default: 1.0 s

Parameters:

max_time_step_during_heating – The maximum time step during heating [s]

set_max_volume_fraction_dissolve_time_step(max_volume_fraction_dissolve_time_step)

Sets the maximum volume fraction of subcritical particles allowed to dissolve in one time step. Default: 0.01

Parameters:

max_volume_fraction_dissolve_time_step – The maximum volume fraction of subcritical particles allowed to dissolve in one time step [-]

set_min_radius_nucleus_as_particle(min_radius_nucleus_as_particle)

The cut-off lower limit of precipitate radius. Default: 5.0E-10 m

Parameters:

min_radius_nucleus_as_particle – The minimum radius of a nucleus to be considered as a particle [m]

set_min_radius_points_per_magnitude(min_radius_points_per_magnitude)

Sets the minimum number of grid points over one order of magnitude in radius. Default: 100.0

Parameters:

min_radius_points_per_magnitude – The minimum number of grid points over one order of magnitude in radius [-]

set_radius_points_per_magnitude(radius_points_per_magnitude)

Sets the number of grid points over one order of magnitude in radius. Default: 150.0

Parameters:

radius_points_per_magnitude – The number of grid points over one order of magnitude in radius [-]

set_rel_radius_change_class_collision(rel_radius_change_class_collision)

Sets the relative radius change for avoiding class collision. Default: 0.5

Parameters:

rel_radius_change_class_collision – The relative radius change for avoiding class collision [-]

class tc_toolbox.precipitation.ParticleSizeDistribution

Represents the state of a microstructure evolution at a certain time including its particle size distribution, composition and overall phase fraction.

Constructor Summary
ParticleSizeDistribution()

Constructs an instance of ParticleSizeDistribution.

Property Summary
Method Summary
add_radius_and_number_density(radius, number_density)

Adds a radius and number density pair to the particle size distribution.

Parameters:
  • radius – The radius [m]

  • number_density – The number of particles per unit volume per unit length [m^-4]

Returns:

This ParticleSizeDistribution object

set_initial_composition(element_name, composition_value)

Sets the initial precipitate composition.

Parameters:
  • element_name – The name of the element

  • composition_value – The composition value [composition unit defined for the calculation]

Returns:

This ParticleSizeDistribution object

set_volume_fraction_of_phase_type(volume_fraction_of_phase_type_enum)

Sets the type of the phase fraction or percentage. Default: By default volume fraction is used.

Parameters:

volume_fraction_of_phase_type_enum – Specifies if volume percent or fraction is used

Returns:

This ParticleSizeDistribution object

set_volume_fraction_of_phase_value(value)

Sets the overall volume fraction of the phase (unit based on the setting of set_volume_fraction_of_phase_type()).

Parameters:

value – The volume fraction 0.0 - 1.0 or percent value 0 - 100

Returns:

This ParticleSizeDistribution object

class tc_toolbox.precipitation.PrecipitateElasticProperties

Represents the elastic transformation strain of a certain precipitate class.

Note

This class is only relevant if the option TransformationStrainCalculationOption.USER_DEFINED has been chosen using PrecipitatePhase.set_transformation_strain_calculation_option(). The elastic strain can only be considered for non-spherical precipitates.

Constructor Summary
PrecipitateElasticProperties()

Constructs an instance of PrecipitateElasticProperties.

Property Summary
Method Summary
set_e11(e11)

Sets the elastic strain tensor component e11. Default: 0.0

Parameters:

e11 – The elastic strain tensor component e11

Returns:

This PrecipitateElasticProperties object

set_e12(e12)

Sets the strain tensor component e12. Default: 0.0

Parameters:

e12 – The elastic strain tensor component e12

Returns:

This PrecipitateElasticProperties object

set_e13(e13)

Sets the elastic strain tensor component e13. Default: 0.0

Parameters:

e13 – The elastic strain tensor component e13

Returns:

This PrecipitateElasticProperties object

set_e22(e22)

Sets the elastic strain tensor component e22. Default: 0.0

Parameters:

e22 – The elastic strain tensor component e22

Returns:

This PrecipitateElasticProperties object

set_e23(e23)

Sets the elastic strain tensor component e23. Default: 0.0

Parameters:

e23 – The elastic strain tensor component e23

Returns:

This PrecipitateElasticProperties object

set_e33(e33)

Sets the elastic strain tensor component e33. Default: 0.0

Parameters:

e33 – The elastic strain tensor component e33

Returns:

This PrecipitateElasticProperties object

class tc_toolbox.precipitation.PrecipitateMorphology

Available precipitate morphologies.

class tc_toolbox.precipitation.PrecipitatePhase

Represents a certain precipitate class (i.e. a group of precipitates with the same phase and settings).

Constructor Summary
PrecipitatePhase(precipitate_phase_name)
Property Summary
Method Summary
disable_calculate_aspect_ratio_from_elastic_energy()

Disables the automatic calculation of the aspect ratio from the elastic energy of the phase.

Default: This is the default setting (with an aspect ratio of 1.0).

Note

If you use this method, you are required to set the aspect ratio explicitly using the method set_aspect_ratio_value().

Returns:

This PrecipitatePhase object

disable_driving_force_approximation()

Disables driving force approximation for this precipitate class. Default: Driving force approximation is disabled.

Returns:

This PrecipitatePhase object

enable_calculate_aspect_ratio_from_elastic_energy()

Enables the automatic calculation of the aspect ratio from the elastic energy of the phase. Default: The aspect ratio is set to a value of 1.0.

Returns:

This PrecipitatePhase object

enable_driving_force_approximation()

Enables driving force approximation for this precipitate class. This approximation is often required when simulating precipitation of multiple particles that use the same phase description. E.g. simultaneous precipitation of a Metal-Carbide(MC) and Metal-Nitride(MN) if configured as different composition sets of the same phase FCC_A1. Default: Driving force approximation is disabled.

Tip

Use this if simulations with several compositions sets of the same phase cause problems.

Returns:

This PrecipitatePhase object

set_alias(alias)

Sets an alias string that can later be used to get values from a calculated result. Typically used when having the same phase for several precipitates, but with different nucleation sites. For example two precipitates of the phase M7C3 with nucleation sites in ‘Bulk’ and at ‘Dislocations’. The alias can be used instead of the phase name when retrieving simulated results.

Note

Typically used when having using the same precipitate phase, but with different settings in the same calculation.

Parameters:

alias – The alias string for this class of precipitates

Returns:

This PrecipitatePhase object

set_aspect_ratio_value(aspect_ratio_value)

Sets the aspect ratio of the phase. Default: An aspect ratio of 1.0.

Note

Only relevant if disable_calculate_aspect_ratio_from_elastic_energy() is used (which is the default).

Parameters:

aspect_ratio_value – The aspect ratio value

Returns:

This PrecipitatePhase object

set_gibbs_energy_addition(gibbs_energy_addition)

Sets a Gibbs energy addition to the Gibbs energy of the phase. Default: 0,0 J/mol

Parameters:

gibbs_energy_addition – The Gibbs energy addition [J/mol]

Returns:

This PrecipitatePhase object

set_interfacial_energy(interfacial_energy)

Sets the interfacial energy. Default: If the interfacial energy is not set, it is automatically calculated using a broken-bond model.

Note

The calculation of the interfacial energy using a broken-bond model is based on the assumption of an interface between a bcc- and a fcc-crystal structure with (110) and (111) lattice planes regardless of the actual phases.

Parameters:

interfacial_energy – The interfacial energy [J/m^2]

Returns:

This PrecipitatePhase object

set_interfacial_energy_estimation_prefactor(interfacial_energy_estimation_prefactor)

Sets the interfacial energy prefactor. Default: Prefactor of 1.0 (only relevant if the interfacial energy is automatically calculated).

Note

The interfacial energy prefactor is an amplification factor for the automatically calculated interfacial energy. Example: interfacial_energy_estimation_prefactor = 2.5 => 2.5 * calculated interfacial energy

Parameters:

interfacial_energy_estimation_prefactor – The prefactor for the calculated interfacial energy

Returns:

This PrecipitatePhase object

set_molar_volume(volume)

Sets the molar volume of the precipitate phase. Default: The molar volume obtained from the database. If no molar volume information is present in the database, a value of 7.0e-6 m^3/mol is used.

Parameters:

volume – The molar volume [m^3/mol]

Returns:

This PrecipitatePhase object

set_nucleation_at_dislocations(number_density)

Activates nucleation at dislocations for this class of precipitates. Calling the method overrides any other nucleation setting for this class of precipitates. Default: If not set, by default bulk nucleation is chosen.

Parameters:

number_density – Number density of nucleation sites. If not set, the value is calculated based on the matrix settings (grain size, dislocation density) [m^-3].

Returns:

This PrecipitatePhase object

set_nucleation_at_grain_boundaries(wetting_angle, number_density)

Activates nucleation at grain boundaries for this class of precipitates. Calling the method overrides any other nucleation setting for this class of precipitates. Default: If not set, by default bulk nucleation is chosen.

Parameters:
  • wetting_angle – If not set, a default value of 90 degrees is used

  • number_density – Number density of nucleation sites. If not set, the value is calculated based on the matrix settings (grain size) [m^-3].

Returns:

This PrecipitatePhase object

set_nucleation_at_grain_corners(wetting_angle, number_density)

Activates nucleation at grain corners for this class of precipitates. Calling the method overrides any other nucleation setting for this class of precipitates. Default: If not set, by default bulk nucleation is chosen.

Parameters:
  • wetting_angle – If not set, a default value of 90 degrees is used]

  • number_density – Number density of nucleation sites. If not set, the value is calculated based on the matrix settings (grain size) [m^-3].

Returns:

This PrecipitatePhase object

set_nucleation_at_grain_edges(wetting_angle, number_density)

Activates nucleation at the grain edges for this class of precipitates. Calling the method overrides any other nucleation setting for this class of precipitates. Default: If not set, by default bulk nucleation is chosen.

Parameters:
  • wetting_angle – If not set, a default value of 90 degrees is used

  • number_density – Number density of nucleation sites. If not set, the value is calculated based on the matrix settings (grain size) [m^-3].

Returns:

This PrecipitatePhase object

set_nucleation_in_bulk(number_density)

Activates nucleation in the bulk for this class of precipitates. Calling the method overrides any other nucleation setting for this class of precipitates. Default: This is the default setting (with an automatically calculated number density).

Parameters:

number_density – Number density of nucleation sites. If not set, the value is calculated based on the matrix settings (molar volume) [m^-3]

Returns:

This PrecipitatePhase object

set_phase_boundary_mobility(phase_boundary_mobility)

Sets the phase boundary mobility. Default: 10.0 m^4/(Js).

Parameters:

phase_boundary_mobility – The phase boundary mobility [m^4/(Js)]

Returns:

This PrecipitatePhase object

set_precipitate_morphology(precipitate_morphology_enum)

Sets the precipitate morphology. Default: PrecipitateMorphology.SPHERE

Parameters:

precipitate_morphology_enum – The precipitate morphology

Returns:

This PrecipitatePhase object

set_trans_interface_mobility_adjustment(element, prefactor, activation_energy)

Trans-interface mobility adjustment Only relevant when growth rate model is PE Automatic A value that adds to the activation energy of mobility data from the database.

Parameters:
  • element – The element to apply the adjustment for. If “all” is given, adjustment will apply to all elements.

  • prefactor – A parameter that multiplies to the mobility data from a database. The value scales the mobility by a constant amount. This results in the trans-interface mobility that controls the kinetics of Para-Equilibrium to Ortho-Equilibrium transition.

  • activation_energy – A value that adds to the activation energy of mobility data from a database.It scales the mobility by a temperature dependent amount. Similar usage as trans-interface mobility adjustment prefactor. [J/mol]

set_transformation_strain_calculation_option(transformation_strain_calculation_option_enum)

Sets the transformation strain calculation option. Default: TransformationStrainCalculationOption.DISREGARD.

Parameters:

transformation_strain_calculation_option_enum – The chosen option

Returns:

This PrecipitatePhase object

set_zener_pinning_parameters(cutoff_size, kinetic_prefactor, exponent)

These parameters are only relevant when zener pinning is enabled in the matrix phase

Parameters:
  • cutoff_size – Precipitates with radius smaller than this value are neglected in pinning force calculation.

  • kinetic_prefactor – Dimensionless kinetic coefficient in Zener equation.

  • exponent – Exponent of precipitate volume fraction in Zener equation.

Returns:

This PrecipitatePhase object

with_elastic_properties(elastic_properties)

Sets the elastic properties. Default: The elastic transformation strain is disregarded by default.

Note

This method has only an effect if the option TransformationStrainCalculationOption.USER_DEFINED is chosen using the method set_transformation_strain_calculation_option().

Parameters:

elastic_properties – The elastic properties object

Returns:

This PrecipitatePhase object

with_growth_rate_model(growth_rate_model_enum)

Sets the growth rate model for the class of precipitates. Default: GrowthRateModel.SIMPLIFIED

Parameters:

growth_rate_model_enum – The growth rate model

Returns:

This PrecipitatePhase object

with_particle_size_distribution(particle_size_distribution)

Sets the initial particle size distribution for this class of precipitates. Default: If the initial particle size distribution is not explicitly provided, the simulation will start from a supersaturated matrix.

Tip

Use this option if you want to study the further evolution of an existing microstructure.

Parameters:

particle_size_distribution – The initial particle size distribution object

Returns:

This PrecipitatePhase object

class tc_toolbox.precipitation.PrecipitationCCTCalculation

Configuration for a Continuous-Cooling-Time (CCT) precipitation calculation.

Constructor Summary
PrecipitationCCTCalculation(back)

Call base constructor: tc_toolbox.AbstractCalculation.

Method Summary
calculate(timeout_in_minutes)

Runs the CCT diagram calculation.

Parameters:

timeout_in_minutes – Used to prevent the calculation from running longer than what is wanted, or from hanging. If the calculation runs longer than timeout_in_minutes, a UnrecoverableCalculationException will be thrown, the current TCPython-block will be unusable and a new TCPython block must be created for further calculations.

Returns:

A PrecipitationCalculationTTTorCCTResult which later can be used to get specific values from the calculated result

get_configuration_as_string()

Returns detailed information about the current state of the calculation object.

Warning

The structure of the calculator objects is an implementation detail and might change between releases without notice. Therefore do not rely on the internal object structure.

get_system_data()

Returns the content of the database for the currently loaded system. This can be used to modify the parameters and functions and to change the current system by using with_system_modifications().

Note

Parameters can only be read from unencrypted (i.e. user) databases loaded as *.tdb-file.

Returns:

The system data

invalidate()

Invalidates the object and frees the disk space used by it. This is only required if the disk space occupied by the object needs to be released during the calculation. No data can be retrieved from the object afterwards.

set_composition(element_name, value)

Sets the composition of the elements. The unit for the composition can be changed using set_composition_unit(). Default: Mole percent (CompositionUnit.MOLE_PERCENT)

Parameters:
  • element_name – The element

  • value – The composition (fraction or percent depending on the composition unit)

Returns:

This PrecipitationCCTCalculation object

set_composition_unit(unit_enum)

Sets the composition unit. Default: Mole percent (CompositionUnit.MOLE_PERCENT).

Parameters:

unit_enum – The new composition unit

Returns:

This PrecipitationCCTCalculation object

set_cooling_rates(cooling_rates)

Sets all cooling rates for which the CCT diagram should be calculated.

Parameters:

cooling_rates – A list of cooling rates [K/s]

Returns:

This PrecipitationCCTCalculation object

set_max_temperature(max_temperature)

Sets maximum temperature of the CCT diagram.

Parameters:

max_temperature – the maximum temperature [K]

Returns:

This PrecipitationCCTCalculation object

set_min_temperature(min_temperature)

Sets the minimum temperature of the CCT diagram.

Parameters:

min_temperature – the minimum temperature [K]

Returns:

This PrecipitationCCTCalculation object

stop_at_volume_fraction_of_phase(stop_criterion_value)

Sets the stop criterion as a volume fraction of the phase. This setting is applied to all phases.

Parameters:

stop_criterion_value – the volume fraction of the phase (a value between 0 and 1)

Returns:

This PrecipitationCCTCalculation object

with_matrix_phase(matrix_phase)

Sets the matrix phase.

Parameters:

matrix_phase – The matrix phase

Returns:

This PrecipitationCCTCalculation object

with_numerical_parameters(numerical_parameters)

Sets the numerical parameters. If not specified, reasonable defaults are be used.

Parameters:

numerical_parameters – The parameters

Returns:

This PrecipitationCCTCalculation object

with_system_modifications(system_modifications)

Updates the system of this calculator with the supplied system modification (containing new phase parameters and system functions).

Note

This is only possible if the system has been read from unencrypted (i.e. user) databases loaded as a *.tdb-file.

Parameters:

system_modifications – The system modification to be performed

Returns:

This PrecipitationCCTCalculation object

class tc_toolbox.precipitation.PrecipitationCalculationResult

Result of a precipitation calculation. This can be used to query for specific values.

Constructor Summary
PrecipitationCalculationResult(back)

Call base constructor: tc_toolbox.AbstractResult.

Method Summary
invalidate()

Invalidates the object and frees the disk space used by it. This is only required if the disk space occupied by the object needs to be released during the calculation. No data can be retrieved from the object afterwards.

save_to_disk(path)

Saves the result to disc. Note that a result is a folder, containing potentially many files. The result can later be loaded with load_result_from_disk()

Parameters:

path – the path to the folder you want the result to be saved in. It can be relative or absolute.

Returns:

this PrecipitationCalculationResult object

class tc_toolbox.precipitation.PrecipitationCalculationSingleResult

Result of a isothermal or non-isothermal precipitation calculation. This can be used to query for specific values.

Search the Thermo-Calc help for definitions of the axis variables, e.g. search isothermal variables or non-isothermal variables.

Constructor Summary
PrecipitationCalculationSingleResult(back)

Call base constructor: tc_toolbox.precipitation.PrecipitationCalculationResult.

Method Summary
get_aspect_ratio_distribution_for_particle_length_of(precipitate_id, time)

Returns the aspect ratio distribution of a precipitate in dependency of its mean particle length at a certain time.

Only available if the morphology is set to PrecipitateMorphology.NEEDLE or PrecipitateMorphology.PLATE.

Parameters:
  • time – The time [s]

  • precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (mean particle length [m], aspect ratio)

get_aspect_ratio_distribution_for_radius_of(precipitate_id, time)

Returns the aspect ratio distribution of a precipitate in dependency of its mean radius at a certain time.

Only available if the morphology is set to PrecipitateMorphology.NEEDLE or PrecipitateMorphology.PLATE.

Parameters:
  • time – The time [s]

  • precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (mean radius [m], aspect ratio)

get_critical_radius_of(precipitate_id)

Returns the critical radius of a precipitate in dependency of the time.

Parameters:

precipitate_id – The id of a precipitate can either be phase name or alias

Returns:

A tuple of two lists of floats (time [s], critical radius [m])

get_cubic_factor_distribution_for_particle_length_of(precipitate_id, time)

Returns the cubic factor distribution of a precipitate in dependency of its mean particle length at a certain time.

Only available if the morphology is set to PrecipitateMorphology.CUBOID.

Parameters:
  • time – The time in seconds

  • precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (particle length [m], cubic factor)

get_cubic_factor_distribution_for_radius_of(precipitate_id, time)

Returns the cubic factor distribution of a precipitate in dependency of its mean radius at a certain time. Only available if the morphology is set to PrecipitateMorphology.CUBOID.

Parameters:
  • time – The time [s]

  • precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (radius [m], cubic factor)

get_driving_force_of(precipitate_id)

Returns the (by R * T) normalized driving force of a precipitate in dependency of the time.

Parameters:

precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (time [s], normalized driving force)

get_grain_critical_radius()

Returns the critical radius of grains in dependency of the time.

Returns:

A tuple of two lists of floats (time [s], critical radius [m])

get_grain_mean_radius()

Returns the mean grain size of the matrix phase in dependency of the time.

Returns:

A tuple of two lists of floats (time [s], mean radius [m])

get_grain_number_density()

Returns the grain number density (concentration) in dependency of the time.

Returns:

A tuple of two lists of floats (time [s], grain number density [m^-3])

get_grain_number_density_distribution_for_length(time)

Returns the number density distribution of grains in terms of length at the requested time(s).

Parameters:

time – The time [s]

Returns:

A tuple of two lists of floats (grain length[m], number of grains per unit volume in a size class [m^-3])

get_grain_number_density_distribution_for_radius(time)

Returns the number density distribution of a grains in terms of grain radius at the requested time(s).

Parameters:

time – The time [s]

Returns:

A tuple of two lists of floats (radius [m], number of grains per unit volume in a size class [m^-3])

get_grain_size_distribution(time)

Returns the size distribution of the matrix phase in dependency of its grain radius at the requested time(s).

Parameters:

time – The time [s]

Returns:

A tuple of two lists of floats (grain radius[m], number density of grains[m^-4])

get_matrix_composition_in_mole_fraction_of(element_name)

Returns the matrix composition (as mole fractions) of a certain element in dependency of the time.

Parameters:

element_name – The element

Returns:

A tuple of two lists of floats (time [s], mole fraction)

get_matrix_composition_in_weight_fraction_of(element_name)

Returns the matrix composition (as weight fraction) of a certain element in dependency of the time.

Parameters:

element_name – The element

Returns:

A tuple of two lists of floats (time [s], weight fraction)

get_mean_aspect_ratio_of(precipitate_id)

Returns the mean aspect ratio of a precipitate in dependency of the time.

Only available if the morphology is set to PrecipitateMorphology.NEEDLE or PrecipitateMorphology.PLATE.

Parameters:

precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (time [s], mean aspect ratio)

get_mean_cubic_factor_of(precipitate_id)

Returns the mean cubic factor of a precipitate in dependency of the time. Only available if the morphology is set to PrecipitateMorphology.CUBOID.

Parameters:

precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (time [s], mean cubic factor)

get_mean_particle_length_of(precipitate_id)

Returns the mean particle length of a precipitate in dependency of the time.

Only available if the morphology is set to PrecipitateMorphology.NEEDLE or PrecipitateMorphology.PLATE.

Parameters:

precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (time [s], mean particle length [m])

get_mean_radius_2d_of(precipitate_id)

Returns the mean radius of cross-sections taken through the dispersion in dependency of the time.

Parameters:

precipitate_id – The id of a precipitate can either be phase name or alias

Returns:

A tuple of two lists of floats (time [s], mean radius [m])

get_mean_radius_of(precipitate_id)

Returns the mean radius of a precipitate in dependency of the time.

Parameters:

precipitate_id – The id of a precipitate can either be phase name or alias

Returns:

A tuple of two lists of floats (time [s], mean radius [m])

get_normalized_grain_size_distribution(time)

Returns the normalized number density distribution with the grain radius normalized by the mean radius, for the requested time(s).

Parameters:

time – The time [s]

Returns:

A tuple of two lists of floats (Normalized size, Probability)

get_normalized_number_density_distribution_2d_of(precipitate_id, time)

Returns the normalized number density distribution of a precipitate in terms of the radius of cross-sections created by taking a plane through the dispersion, normalized by the mean radius of the cross-section, for the requested time(s).

Parameters:
  • time – The time [s]

  • precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (Normalized size, Probability)

get_normalized_number_density_distribution_of(precipitate_id, time)

Returns the normalized number density distribution with the particle radius normalized by the mean radius, for the requested time(s).

Parameters:
  • time – The time [s]

  • precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (Normalized size, Probability)

get_nucleation_rate_of(precipitate_id)

Returns the nucleation rate of a precipitate in dependency of the time.

Parameters:

precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (time [s], nucleation rate [m^-3 s^-1)

get_number_density_distribution_2d_for_particle_length_of(precipitate_id, time)

Returns the number density distribution of a precipitate considering the radius of cross-sections created by taking a plane through the dispersion, approximating the particles as spherical, for the requested time(s).

Parameters:
  • time – The time [s]

  • precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (particle length[m], number of particles per unit area within a size class [m^-2])

get_number_density_distribution_2d_for_radius_of(precipitate_id, time)

Returns the number density distribution of a precipitate considering the radius of cross-sections created by taking a plane through the dispersion for the requested time(s).

Parameters:
  • time – The time [s]

  • precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (radius [m], number of particles per unit area within a size class [m^-2])

get_number_density_distribution_for_particle_length_of(precipitate_id, time)

Returns the number density distribution of a precipitate in terms of length for the requested time(s).

Parameters:
  • time – The time [s]

  • precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (particle length[m], number of particles in the size class per unit volume [m^-3])

get_number_density_distribution_for_radius_of(precipitate_id, time)

Returns the number density distribution of a precipitate in terms of radius for the requested time(s).

Parameters:
  • time – The time [s]

  • precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (radius [m], number of particles in the size class per unit volume [m^-3])

get_number_density_of(precipitate_id)

Returns the particle number density (concentration) of a precipitate in dependency of the time.

Parameters:

precipitate_id – The id of a precipitate can either be phase name or alias

Returns:

A tuple of two lists of floats (time [s], particle number density [m^-3])

get_precipitate_composition_in_mole_fraction_of(precipitate_id, element_name)

Returns the precipitate composition (as mole fractions) of a certain element in dependency of the time.

Parameters:
  • precipitate_id – The id of a precipitate can either be phase name or alias

  • element_name – The element

Returns:

A tuple of two lists of floats (time [s], mole fraction)

get_precipitate_composition_in_weight_fraction_of(precipitate_id, element_name)

Returns the precipitate composition (as weight fraction) of a certain element in dependency of the time.

Parameters:
  • precipitate_id – The id of a precipitate can either be phase name or alias

  • element_name – The element

Returns:

A tuple of two lists of floats (time [s], weight fraction)

get_size_distribution_2d_for_particle_length_of(precipitate_id, time)

Returns the size distribution of a precipitate considering the radius of cross-sections created by taking a plane through the dispersion, approximating the particles as spherical, for the requested time(s).

Parameters:
  • time – The time [s]

  • precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (particle length[m], number of particles per unit area per unit length [m^-3])

get_size_distribution_2d_for_radius_of(precipitate_id, time)

Returns the size distribution of a precipitate considering the radius of cross-sections created by taking a plane through the dispersion for the requested time(s).

Parameters:
  • time – The time [s]

  • precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (radius [m], number of particles per unit area per unit length [m^-3])

get_size_distribution_for_particle_length_of(precipitate_id, time)

Returns the size distribution of a precipitate in terms of length for the requested time(s).

Parameters:
  • time – The time [s]

  • precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (particle length[m], number of particles per unit volume per unit length [m^-4])

get_size_distribution_for_radius_of(precipitate_id, time)

Returns the size distribution of a precipitate in terms of radius for the requested time(s).

Parameters:
  • time – The time [s]

  • precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (radius [m], number of particles per unit volume per unit length [m^-4])

get_volume_fraction_of(precipitate_id)

Returns the volume fraction of a precipitate in dependency of the time.

Parameters:

precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (time [s], volume fraction)

invalidate()

Invalidates the object and frees the disk space used by it. This is only required if the disk space occupied by the object needs to be released during the calculation. No data can be retrieved from the object afterwards.

save_to_disk(path)

Saves the result to disc. Note that a result is a folder, containing potentially many files. The result can later be loaded with load_result_from_disk()

Parameters:

path – the path to the folder you want the result to be saved in. It can be relative or absolute.

Returns:

this PrecipitationCalculationResult object

class tc_toolbox.precipitation.PrecipitationCalculationTTTorCCTResult

Result of a TTT or CCT precipitation calculation.

Constructor Summary
PrecipitationCalculationTTTorCCTResult(back)

Call base constructor: tc_toolbox.precipitation.PrecipitationCalculationResult.

Method Summary
get_result_for_precipitate(precipitate_id)

Returns the calculated data of a TTT or CCT diagram for a certain precipitate.

Parameters:

precipitate_id – The id of a precipitate can either be the phase name or an alias

Returns:

A tuple of two lists of floats (time [s], temp [K])

invalidate()

Invalidates the object and frees the disk space used by it. This is only required if the disk space occupied by the object needs to be released during the calculation. No data can be retrieved from the object afterwards.

save_to_disk(path)

Saves the result to disc. Note that a result is a folder, containing potentially many files. The result can later be loaded with load_result_from_disk()

Parameters:

path – the path to the folder you want the result to be saved in. It can be relative or absolute.

Returns:

this PrecipitationCalculationResult object

class tc_toolbox.precipitation.PrecipitationIsoThermalCalculation

Configuration for an isothermal precipitation calculation.

Constructor Summary
PrecipitationIsoThermalCalculation(back)

Call base constructor: tc_toolbox.AbstractCalculation.

Method Summary
calculate(timeout_in_minutes)

Runs the isothermal precipitation calculation.

Parameters:

timeout_in_minutes – Used to prevent the calculation from running longer than what is wanted, or from hanging. If the calculation runs longer than timeout_in_minutes, a UnrecoverableCalculationException will be thrown, the current TCPython-block will be unusable and a new TCPython block must be created for further calculations.

Returns:

A PrecipitationCalculationSingleResult which later can be used to get specific values from the calculated result

get_configuration_as_string()

Returns detailed information about the current state of the calculation object.

Warning

The structure of the calculator objects is an implementation detail and might change between releases without notice. Therefore do not rely on the internal object structure.

get_system_data()

Returns the content of the database for the currently loaded system. This can be used to modify the parameters and functions and to change the current system by using with_system_modifications().

Note

Parameters can only be read from unencrypted (i.e. user) databases loaded as *.tdb-file.

Returns:

The system data

invalidate()

Invalidates the object and frees the disk space used by it. This is only required if the disk space occupied by the object needs to be released during the calculation. No data can be retrieved from the object afterwards.

set_composition(element_name, value)

Sets the composition of the elements. The unit for the composition can be changed using set_composition_unit(). Default: Mole percent (CompositionUnit.MOLE_PERCENT)

Parameters:
  • element_name – The element

  • value – The composition (fraction or percent depending on the composition unit)

Returns:

This PrecipitationIsoThermalCalculation object

set_composition_unit(unit_enum)

Sets the composition unit. Default: Mole percent (CompositionUnit.MOLE_PERCENT).

Parameters:

unit_enum – The new composition unit

Returns:

This PrecipitationIsoThermalCalculation object

set_simulation_time(simulation_time)

Sets the simulation time.

Parameters:

simulation_time – The simulation time [s]

Returns:

This PrecipitationIsoThermalCalculation object

set_temperature(temperature)

Sets the temperature for the isothermal simulation.

Parameters:

temperature – the temperature [K]

Returns:

This PrecipitationIsoThermalCalculation object

with_matrix_phase(matrix_phase)

Sets the matrix phase.

Parameters:

matrix_phase – The matrix phase

Returns:

This PrecipitationIsoThermalCalculation object

with_numerical_parameters(numerical_parameters)

Sets the numerical parameters. If not specified, reasonable defaults are be used.

Parameters:

numerical_parameters – The parameters

Returns:

This PrecipitationIsoThermalCalculation object

with_system_modifications(system_modifications)

Updates the system of this calculator with the supplied system modification (containing new phase parameters and system functions).

Note

This is only possible if the system has been read from unencrypted (i.e. user) databases loaded as a *.tdb-file.

Parameters:

system_modifications – The system modification to be performed

Returns:

This PrecipitationIsoThermalCalculation object

class tc_toolbox.precipitation.PrecipitationNonIsoThermalCalculation

Configuration for a non-isothermal precipitation calculation.

Constructor Summary
PrecipitationNonIsoThermalCalculation(back)

Call base constructor: tc_toolbox.AbstractCalculation.

Method Summary
calculate(timeout_in_minutes)

Runs the non-isothermal precipitation calculation.

Parameters:

timeout_in_minutes – Used to prevent the calculation from running longer than what is wanted, or from hanging. If the calculation runs longer than timeout_in_minutes, a UnrecoverableCalculationException will be thrown, the current TCPython-block will be unusable and a new TCPython block must be created for further calculations.

Returns:

A PrecipitationCalculationSingleResult which later can be used to get specific values from the calculated result

get_configuration_as_string()

Returns detailed information about the current state of the calculation object.

Warning

The structure of the calculator objects is an implementation detail and might change between releases without notice. Therefore do not rely on the internal object structure.

get_system_data()

Returns the content of the database for the currently loaded system. This can be used to modify the parameters and functions and to change the current system by using with_system_modifications().

Note

Parameters can only be read from unencrypted (i.e. user) databases loaded as *.tdb-file.

Returns:

The system data

invalidate()

Invalidates the object and frees the disk space used by it. This is only required if the disk space occupied by the object needs to be released during the calculation. No data can be retrieved from the object afterwards.

set_composition(element_name, value)

Sets the composition of the elements. The unit for the composition can be changed using set_composition_unit(). Default: Mole percent (CompositionUnit.MOLE_PERCENT)

Parameters:
  • element_name – The element

  • value – The composition (fraction or percent depending on the composition unit)

Returns:

This PrecipitationIsoThermalCalculation object

set_composition_unit(unit_enum)

Sets the composition unit. Default: Mole percent (CompositionUnit.MOLE_PERCENT).

Parameters:

unit_enum – The new composition unit

Returns:

This PrecipitationIsoThermalCalculation object

set_simulation_time(simulation_time)

Sets the simulation time.

Parameters:

simulation_time – The simulation time [s]

Returns:

This PrecipitationNonThermalCalculation object

with_matrix_phase(matrix_phase)

Sets the matrix phase.

Parameters:

matrix_phase – The matrix phase

Returns:

This PrecipitationIsoThermalCalculation object

with_numerical_parameters(numerical_parameters)

Sets the numerical parameters. If not specified, reasonable defaults are be used.

Parameters:

numerical_parameters – The parameters

Returns:

This PrecipitationIsoThermalCalculation object

with_system_modifications(system_modifications)

Updates the system of this calculator with the supplied system modification (containing new phase parameters and system functions).

Note

This is only possible if the system has been read from unencrypted (i.e. user) databases loaded as a *.tdb-file.

Parameters:

system_modifications – The system modification to be performed

Returns:

This PrecipitationNonThermalCalculation object

with_temperature_profile(temperature_profile)

Sets the temperature profile to use with this calculation.

Parameters:

temperature_profile – the temperature profile object (specifying time / temperature points)

Returns:

This PrecipitationNonThermalCalculation object

class tc_toolbox.precipitation.PrecipitationTTTCalculation

Configuration for a TTT (Time-Temperature-Transformation) precipitation calculation.

Constructor Summary
PrecipitationTTTCalculation(back)

Call base constructor: tc_toolbox.AbstractCalculation.

Method Summary
calculate(timeout_in_minutes)

Runs the TTT diagram calculation.

Parameters:

timeout_in_minutes – Used to prevent the calculation from running longer than what is wanted, or from hanging. If the calculation runs longer than timeout_in_minutes, a UnrecoverableCalculationException will be thrown, the current TCPython-block will be unusable and a new TCPython block must be created for further calculations.

Returns:

A PrecipitationCalculationTTTorCCTResult which later can be used to get specific values from the calculated result.

get_configuration_as_string()

Returns detailed information about the current state of the calculation object.

Warning

The structure of the calculator objects is an implementation detail and might change between releases without notice. Therefore do not rely on the internal object structure.

get_system_data()

Returns the content of the database for the currently loaded system. This can be used to modify the parameters and functions and to change the current system by using with_system_modifications().

Note

Parameters can only be read from unencrypted (i.e. user) databases loaded as *.tdb-file.

Returns:

The system data

invalidate()

Invalidates the object and frees the disk space used by it. This is only required if the disk space occupied by the object needs to be released during the calculation. No data can be retrieved from the object afterwards.

set_composition(element_name, value)

Sets the composition of the elements. The unit for the composition can be changed using set_composition_unit(). Default: Mole percent (CompositionUnit.MOLE_PERCENT)

Parameters:
  • element_name – The element

  • value – The composition (fraction or percent depending on the composition unit)

Returns:

This PrecipitationTTTCalculation object

set_composition_unit(unit_enum)

Sets the composition unit. Default: Mole percent (CompositionUnit.MOLE_PERCENT).

Parameters:

unit_enum – The new composition unit

Returns:

This PrecipitationTTTCalculation object

set_max_annealing_time(max_annealing_time)

Sets the maximum annealing time, i.e. the maximum time of the simulation if the stopping criterion is not reached.

Parameters:

max_annealing_time – the maximum annealing time [s]

Returns:

This PrecipitationTTTCalculation object

set_max_temperature(max_temperature)

Sets the maximum temperature for the TTT diagram.

Parameters:

max_temperature – the maximum temperature [K]

Returns:

This PrecipitationTTTCalculation object

set_min_temperature(min_temperature)

Sets the minimum temperature for the TTT diagram.

Parameters:

min_temperature – the minimum temperature [K]

Returns:

This PrecipitationTTTCalculation object

set_temperature_step(temperature_step)

Sets the temperature step for the TTT diagram. If not set, the default value is 10 K.

Parameters:

temperature_step – the temperature step [K]

Returns:

This PrecipitationTTTCalculation object

stop_at_percent_of_equilibrium_fraction(percentage)

Sets the stop criterion to a percentage of the overall equilibrium phase fraction, alternatively a required volume fraction can be specified (using stop_at_volume_fraction_of_phase()).

Parameters:

percentage – the percentage to stop at (value between 0 and 100)

Returns:

This PrecipitationTTTCalculation object

stop_at_volume_fraction_of_phase(volume_fraction)

Sets the stop criterion as a volume fraction of the phase, alternatively a required percentage of the equilibrium phase fraction can be specified (using stop_at_percent_of_equilibria_fraction()). Stopping at a specified volume fraction is the default setting.

This setting is applied to all phases.

Parameters:

volume_fraction – the volume fraction to stop at (a value between 0 and 1)

Returns:

This PrecipitationTTTCalculation object

with_matrix_phase(matrix_phase)

Sets the matrix phase.

Parameters:

matrix_phase – The matrix phase

Returns:

This PrecipitationTTTCalculation object

with_numerical_parameters(numerical_parameters)

Sets the numerical parameters. If not specified, reasonable defaults are be used.

Parameters:

numerical_parameters – The parameters

Returns:

This PrecipitationTTTCalculation object

with_system_modifications(system_modifications)

Updates the system of this calculator with the supplied system modification (containing new phase parameters and system functions).

Note

This is only possible if the system has been read from unencrypted (i.e. user) databases loaded as a *.tdb-file.

Parameters:

system_modifications – The system modification to be performed

Returns:

This PrecipitationTTTCalculation object

class tc_toolbox.precipitation.TransformationStrainCalculationOption

Options for calculating the transformation strain.

class tc_toolbox.precipitation.VolumeFractionOfPhaseType

Unit of the volume fraction of a phase.