DOI: 10.1139/p58-097. DIFFUSION IN MULTICOMPONENT METALLIC SYSTEMS: II. SOLUTIONS FOR TWO-PHASE SYSTEMS WITH APPLICATIONS TO TRANSFORMATIONS IN STEEL

DIFFUSION IN MULTICOMPONENT METALLIC SYSTEMS: II. SOLUTIONS FOR TWO-PHASE SYSTEMS WITH APPLICATIONS TO TRANSFORMATIONS IN STEEL

10.1139/p58-097

Crossref journal-article

Canadian Science Publishing

Canadian Journal of Physics (155)

Abstract

The generalized differential diffusion equation for multicomponent systems with constant coefficients is solved for an advancing linear, cylindrical, or spherical two-phase interface. Representative numerical calculations for ternary alloys based on the iron, carbon system demonstrate how inhibition of the transformation austenite to ferrite + carbide can occur through the requirement of maintaining (extrapolated) equilibrium at the interface and through the interaction of carbon atoms with the off-diagonal gradients in the diffusion matrix. It is proposed that these interactions are the primary cause of hardenability effects in steel.

Bibliography

Kirkaldy, J. S. (1958). DIFFUSION IN MULTICOMPONENT METALLIC SYSTEMS: II. SOLUTIONS FOR TWO-PHASE SYSTEMS WITH APPLICATIONS TO TRANSFORMATIONS IN STEEL. Canadian Journal of Physics, 36(7), 907â916.

Authors 1

J. S. Kirkaldy (first)

References 13 Referenced 154

{'key': 'p_2/p_2_1', 'first-page': '481', 'volume': '33', 'author': 'BUCKNALL E. H.', 'year': '1944', 'journal-title': 'Soc. Metals'} / Soc. Metals by BUCKNALL E. H. (1944)
{'key': 'p_4/p_4_1', 'first-page': '130', 'volume': '180', 'author': 'DARKEN L. S.', 'year': '1949', 'journal-title': 'Trans. Am. Inst. Mining Met. Engrs.'} / Trans. Am. Inst. Mining Met. Engrs. by DARKEN L. S. (1949)
GROSSMAN, IM. A. 1952. Elements of hardeabilitp(.lmerican Society lor Metals, Cleveland).
HULTGREN,A. 1938. Discussiorto Mehl, R. F. (1938), "Hardenability ol .%lloy Steels" (American Society for Metals, Cleveland).
{'key': 'p_7/p_7_1', 'first-page': '135', 'volume': '35', 'author': 'S.', 'year': '1957', 'journal-title': 'J. Phys.'} / J. Phys. by S. (1957)
10.1139/p58-096 / Can. J. Phys. by S. (1958)
MEHL,R. F. and HAGEL,W. C. 1956. Progress in metal physics, \:ol. G, edited by B . Chalmers and R. King (The Pergamon Press, Ltd., London), p. 74. (10.1016/0502-8205(56)90005-3)
METALSHANDBOOK1948. (American Society for Metals, Cleveland).
{'key': 'p_11/p_11_1', 'first-page': '117', 'volume': '167', 'author': 'OWEN W. S.', 'year': '1951', 'journal-title': 'Iron and Steel Inst.'} / Iron and Steel Inst. by OWEN W. S. (1951)
ROLLASON, E. C. 1949. Metallurgy for engineers (Edward i\rnold, London), p. 155.
SMITHELLS, C. J . 1955. Metals relerence book, Vol. 2 (Butterxvorth Scientilic Publications, London).
{'key': 'p_14/p_14_1', 'first-page': '315', 'volume': '145', 'author': 'WELLS C.', 'year': '1941', 'journal-title': 'Trans. Am. Inst. iLIililigMet. Engrs.'} / Trans. Am. Inst. iLIililigMet. Engrs. by WELLS C. (1941)
10.1063/1.1698258 / J. App. Phys. by ZENER C. (1949)

Dates

Type	When
Created	14 years, 4 months ago (April 24, 2011, 3:28 a.m.)
Deposited	1 month, 3 weeks ago (July 2, 2025, 10:42 a.m.)
Indexed	4 days, 18 hours ago (Aug. 23, 2025, 1:06 a.m.)
Issued	67 years, 1 month ago (July 1, 1958)
Published	67 years, 1 month ago (July 1, 1958)
Published Print	67 years, 1 month ago (July 1, 1958)

Funders 0

None

BibTeX

@article{Kirkaldy_1958, title={DIFFUSION IN MULTICOMPONENT METALLIC SYSTEMS: II. SOLUTIONS FOR TWO-PHASE SYSTEMS WITH APPLICATIONS TO TRANSFORMATIONS IN STEEL}, volume={36}, ISSN={1208-6045}, url={http://dx.doi.org/10.1139/p58-097}, DOI={10.1139/p58-097}, number={7}, journal={Canadian Journal of Physics}, publisher={Canadian Science Publishing}, author={Kirkaldy, J. S.}, year={1958}, month=jul, pages={907–916} }

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