TCNI13 Thermophysical and Elastic Properties

For model descriptions, see:

• Molar Volume Model
• Electrical Resistivity Model
• Thermal Conductivity Model
• Electrical Conductivity for Ionic Liquid Model
• Surface Tension of Metallic Liquid Alloys Model
• Viscosity of the Metallic Liquids Model

• About the Elastic Properties

Molar volume data is critically assessed for most phases of importance to Ni-based superalloys. All the necessary volume data (including molar volume and thermal expansion) for various alloy phases is incorporated, which allows for the calculation of volume fraction of phases, as well as density, thermal expansivity and lattice parameters, e.g. misfits between γ and γ’, using Thermo‑Calc. However, it should be noted that the molar volume data only provides rough estimations and has no pressure dependence. See Molar Volume Model.

The properties data for surface tension and viscosity are available starting with TCNI10. Surface tension data is critically assessed for the liquid phase in all pure elements and binary systems. See Surface Tension of Metallic Liquid Alloys Model. The viscosity of the liquid is described for all pure elements and 142 binary systems. See Viscosity of the Metallic Liquids Model.

The properties data for electrical resistivity and thermal conductivity are available starting with TCNI11. Electrical resistivity and thermal conductivity data is critically assessed in all binary systems with data available, for the most important phases to Ni-base alloys. For all other phases or systems, the properties are estimated. See Electrical Resistivity Model and Thermal Conductivity Model.

In the Plot Renderer in Graphical Mode, elastic constants and moduli can be selected from the drop-down list of axis variables.

The independent elastic constants are selected on the Plot Renderer as an axis variable Elastic constant and then choose an option (C11, C12, C13, C33, or C44) from the drop-down list.

The elastic moduli, Bulk modulus, Shear modulus, and Young's modulus, are directly available from the Axis variable list.

All can be tabulated and plotted using the quantity names, with options for a specific phase or all phases.

The quantities corresponding to the individual elastic constants and elastic moduli (derived from the elastic constants) can be can be calculated in Console Mode for individual phases or all phases. The results can be shown in the POLY module with the command SHOW_VALUE or shown as a plot in the POST module with the command PLOT_DIAGRAM using:

• Cij(<phase name>) or Cij(*)
• Bulk modulus: BULKMOD(<phase name>) or BULKMOD(*)
• Shear modulus: SHEARMOD(<phase name>) or SHEARMOD(*)
• Young's modulus: YOUNGMOD(<phase name>) or YOUNGMOD(*)

For the Software Development Kits (SDKs), i.e. TC-Python and TC-Toolbox, the quantities of elastic constants, bulk modulus, shear modulus, and Young’s modulus can be retrieved for individual phases or all phases via get_value_of() or get_values_of() from any equilibrium calculation types using:

• Cij(<phase name>) or Cij(ALL_PHASES/*)
• ThermodynamicQuantity.bulk_modulus(<phase name>) or ThermodynamicQuantity.bulk_modulus(ALL_PHASES/*)
• ThermodynamicQuantity.shear_modulus (<phase name>) or ThermodynamicQuantity.shear_modulus(ALL_PHASES/*)
• ThermodynamicQuantity.youngs_modulus(<phase name>) or ThermodynamicQuantity.youngs_modulus(ALL_PHASES/*)

See the relevant SDK documentation for details.

For examples using this database, see:

• Surface Tension: Ni-Al, Fe-Ni, Cu-Ni, and Cu-Fe-Ni and Surface Tension of CMSX-10 Superalloy
• Viscosity of CMSX-10 Superalloy and Viscosity: Fe-Ni, Cr-Ni, and Cr-Fe-Ni
• Thermal Conductivity of Some Commercial Alloys and Thermal Conductivity: Co-Ni, Co-Fe, and Co-Fe-Ni
• Electrical Resistivity of Some Commercial Alloys and Electrical Resistivity: Co-Ni, Co-Fe, Co-Fe-Ni, and Higher Order Systems

For surface tension, viscosity, and molar volume general use examples, see T_11: Surface Tension in Cu-Zr, T_12: Viscosity in Cr-Ni, and T_15: Molar Volume and Thermal Expansion Coefficients for L12-type Al3Sc and Al3Zr Compounds (Graphical Mode) and Thermophysical Properties Examples (Console Mode)

For electrical resistivity and thermal conductivity general use examples, see T_16: Electrical Resistivity and Thermal Conductivity for Pure Copper (Graphical Mode) and Thermophysical Properties Examples (Console Mode)

For an example using this database, see Young’s Modulus of CMSX-4 Superalloy. For a general example using another database, see the example text, T_19: Young's Modulus for Ti-O with Elastic Properties.