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Program MAP_STEEL_PEARLITE

1. Provenance of code.
2. Purpose of code.
3. Specification.
4. Description of subroutine's operation.
5. References.
6. Parameter descriptions.
7. Error indicators.
8. Accuracy estimate.
9. Any additional information.
10. Example of code
11. Auxiliary subroutines required.
12. Keywords.
13. Download source code.
14. Links.

Provenance of Source Code

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Purpose

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Specification

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Description

The program calculates the isothermal growth rate of pearlite in Fe-C steel. The growth rate is calculated using a mixed diffusion of carbon through the austenite as well as the pearlite-austenite interface, thereby eliminating any assumptions regarding the diffusion paths taken by the solute.

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Parameters

Input parameters

Input parameters : argument in parentheses corresponds to the data type carbon / wt%, (real) Temperature / K, (real)

Input files : fa_a_c.txt - composition of carbon (column-3), iron (column-2) in austenite which is in equilibrium with ferrite at the interface as a function of temperature (column-1)

fa_f_c.txt - composition of carbon (column-3), iron (column-2) in ferrite which is in equilibrium with austenite at the interface as a function of temperature (column-1)

ca_a_c.txt - composition of carbon (column-3), iron (column-2) in austenite which is in equilibrium with cementite at the interface as a function of temperature (column-1)

ca_c_c.txt - composition of carbon (column-3), iron (column-2) in cementite which is in equilibrium with austenite at the interface as a function of temperature (column-1)

- All the compositions in the files above are in mass fraction and the temperature is in K. The interfacial compositions are calculated using MTDATA (TCFE database).

Output parameters

Argument in parentheses corresponds to the data type

Interlamellar spacing, lamda2 / m, (real)

Thickness of ferrite lamella, lamfe2 / m, (real)

Thickness of cementite lamella, lamce2 / m, (real)

Grain boundary diffusivity of carbon, dcgb4 / m² s^-1, (real)

Weighted average diffusivity of carbon, d_avg / m² s^-1, (real)

Pearlite growth rate, velo / m s^-1, (real)

Output file : output.txt - gives the Temperature (in degree centigrade) and the growth rate in (m s^-1)

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Error Indicators

None.

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Accuracy

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References

A. Pandit and H. K. D. H. Bhadeshia, Mixed Diffusion-Controlled Growth of Pearlite in Binary Steel, Proceedings of the Royal Society A, 467 (2011) 508-521.

R. H. Siller and R. B. McLellan, The application of first order mixing statistics to the variation of the diffusivity of carbon in austenite, Metallurgical Transactions, 1970, 1, 985-988.

W. W. Dunn and R. B. McLellan, The application of quasichemical solid solution model to carbon in austenite, Metallurgical Transactions, 1970, 1, 1263-126.

H. K. D. H. Bhadeshia, Diffusion of carbon in austenite, Metal Science, 1981, 15, 477-479.

H. K. D. H. Bhadeshia, MAP programs, https://www.phase-trans.msm.cam.ac.uk/map/steel/functions/cg-b.html.

R. Trivedi and G. M. Pound, Effect of concentration-dependent diffusion coefficient on the migration of interphase boundaries, J. Appl. Phys., 1967, 38, 3569-3576.

C. Zener, Kinetics of Decomposition of Austenite, Trans. AIME, 1946, 167, 550-595.

M. Hillert, The role of interfaces in phase transformations, 1970, In mechanism of phase transformations in crystalline solids. Monograph and Report series, no. 33, 231-247.

D. Brown and N. Ridley, Kinetics of the pearlite reaction in high-purity nickel eutectoid steels, J. Iron Steel Inst., 1969, 207, 1232-1240.

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Keywords

pearlite, steels

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