Diffusion-controlled growth of pearlite in ternary steels by A. S. Pandit, and H. K. D. H. Bhadeshia...

12
Diffusion-controlled growth of pearlite in ternary steels by A. S. Pandit, and H. K. D. H. Bhadeshia Proceedings A Volume 467(2134):2948-2961 October 8, 2011 ©2011 by The Royal Society

Transcript of Diffusion-controlled growth of pearlite in ternary steels by A. S. Pandit, and H. K. D. H. Bhadeshia...

Page 1: Diffusion-controlled growth of pearlite in ternary steels by A. S. Pandit, and H. K. D. H. Bhadeshia Proceedings A Volume 467(2134):2948-2961 October 8,

Diffusion-controlled growth of pearlite in ternary steels

by A. S. Pandit, and H. K. D. H. Bhadeshia

Proceedings AVolume 467(2134):2948-2961

October 8, 2011

©2011 by The Royal Society

Page 2: Diffusion-controlled growth of pearlite in ternary steels by A. S. Pandit, and H. K. D. H. Bhadeshia Proceedings A Volume 467(2134):2948-2961 October 8,

(a–c) Growth of ferrite with the local equilibrium at the interface (the tie-lines are illustrated).

A. S. Pandit, and H. K. D. H. Bhadeshia Proc. R. Soc. A 2011;467:2948-2961

©2011 by The Royal Society

Page 3: Diffusion-controlled growth of pearlite in ternary steels by A. S. Pandit, and H. K. D. H. Bhadeshia Proceedings A Volume 467(2134):2948-2961 October 8,

The case for the PLE transformation of Fe–0.8C–1Mn wt%, noting that strict PLE is not possible since the carbon iso-activity line does not intersect the γ+θ/γ phase boundary.

A. S. Pandit, and H. K. D. H. Bhadeshia Proc. R. Soc. A 2011;467:2948-2961

©2011 by The Royal Society

Page 4: Diffusion-controlled growth of pearlite in ternary steels by A. S. Pandit, and H. K. D. H. Bhadeshia Proceedings A Volume 467(2134):2948-2961 October 8,

Arrhenius plot of DB versus inverse of temperature in Fe–1.0Mn–0.8C wt% steel for interface diffusion-controlled pearlite growth.

A. S. Pandit, and H. K. D. H. Bhadeshia Proc. R. Soc. A 2011;467:2948-2961

©2011 by The Royal Society

Page 5: Diffusion-controlled growth of pearlite in ternary steels by A. S. Pandit, and H. K. D. H. Bhadeshia Proceedings A Volume 467(2134):2948-2961 October 8,

Free energy, enthalpy and entropy change as a function of temperature.

A. S. Pandit, and H. K. D. H. Bhadeshia Proc. R. Soc. A 2011;467:2948-2961

©2011 by The Royal Society

Page 6: Diffusion-controlled growth of pearlite in ternary steels by A. S. Pandit, and H. K. D. H. Bhadeshia Proceedings A Volume 467(2134):2948-2961 October 8,

Variation in the entropy production rate as a function of the interlamellar spacing.

A. S. Pandit, and H. K. D. H. Bhadeshia Proc. R. Soc. A 2011;467:2948-2961

©2011 by The Royal Society

Page 7: Diffusion-controlled growth of pearlite in ternary steels by A. S. Pandit, and H. K. D. H. Bhadeshia Proceedings A Volume 467(2134):2948-2961 October 8,

Ferrite–cementite interfacial energy compared with those from the previous study for Fe–C steels (Pandit & Bhadeshia 2011).

A. S. Pandit, and H. K. D. H. Bhadeshia Proc. R. Soc. A 2011;467:2948-2961

©2011 by The Royal Society

Page 8: Diffusion-controlled growth of pearlite in ternary steels by A. S. Pandit, and H. K. D. H. Bhadeshia Proceedings A Volume 467(2134):2948-2961 October 8,

Pearlite growth rate as a function of temperature for Fe–1.0Mn–0.8C wt% and Fe–1.8Mn–0.69C wt%.

A. S. Pandit, and H. K. D. H. Bhadeshia Proc. R. Soc. A 2011;467:2948-2961

©2011 by The Royal Society

Page 9: Diffusion-controlled growth of pearlite in ternary steels by A. S. Pandit, and H. K. D. H. Bhadeshia Proceedings A Volume 467(2134):2948-2961 October 8,

The point ‘A’, which extrapolates to ‘B’ at the transformation temperature, is the composition of austenite assumed to decompose into pearlite when the supercooling is insufficient for the

hypereutectoid alloy to permit the simultaneous precipitation.

A. S. Pandit, and H. K. D. H. Bhadeshia Proc. R. Soc. A 2011;467:2948-2961

©2011 by The Royal Society

Page 10: Diffusion-controlled growth of pearlite in ternary steels by A. S. Pandit, and H. K. D. H. Bhadeshia Proceedings A Volume 467(2134):2948-2961 October 8,

Comparison of ferrite–cementite interfacial energy for Fe–C–Cr and Fe–C–Mn steels.

A. S. Pandit, and H. K. D. H. Bhadeshia Proc. R. Soc. A 2011;467:2948-2961

©2011 by The Royal Society

Page 11: Diffusion-controlled growth of pearlite in ternary steels by A. S. Pandit, and H. K. D. H. Bhadeshia Proceedings A Volume 467(2134):2948-2961 October 8,

Comparison of calculated and experimental pearlite growth rate as a function of temperature for Fe–1.29Cr–0.82C wt%.

A. S. Pandit, and H. K. D. H. Bhadeshia Proc. R. Soc. A 2011;467:2948-2961

©2011 by The Royal Society

Page 12: Diffusion-controlled growth of pearlite in ternary steels by A. S. Pandit, and H. K. D. H. Bhadeshia Proceedings A Volume 467(2134):2948-2961 October 8,

Sensitivity of the growth rate calculations to the α/θ interfacial energy.

A. S. Pandit, and H. K. D. H. Bhadeshia Proc. R. Soc. A 2011;467:2948-2961

©2011 by The Royal Society