Abstract
The relative effects of chromium, molybdenum, and tungsten on the occurrence of σ phase have been studied in Ni-Co-Cr alloys. These alloys were designed to simulate the γ matrix in commercial nickel-base superalloys that are strengthened primarily by precipitation of the γ phase, based on Ni3Al. Three alloy series were studied. The first series comprised four alloys varying in chromium content from 34.63 to 43.65 at. pct. The other two series contained separate molybdenum and tungsten additions of 1, 2, 3, and 4 at. pct at constant chromium contents of 37.5 at. pct. In each of the 12 alloys, the atomic percentages of nickel and cobalt were equal. The alloys were aged in both the annealed and cold-rolled conditions at 1400°F (760°C), 1550°F (845°C), and 1700°F (925°C) for times up to 3000 h. The contributions of the chromium-group elements to σ formation were evaluated both by measuring the volume percentage of σ phase and by determining the final composition of the y matrix after σ precipitation. By these two techniques, critical values of the average electron vacancy number, •Nv, for σ formation at 1550°F (845°C) were found to be 2.518 and 2.512, respectively; σ precipitation was most rapid at 1550°F (845°C). Both techniques in-dicated that under conditions approaching equilibrium, molybdenum and tungsten are equiv-alent in inducing σ formation and about 1.5 to 2 times as potent as chromium. The approxi-mate electron vacancy coefficients(Nv) for molybdenum and tungsten, as derived from volume-fraction measurements of σ phase, are as follows: 7.35 at 1400°F (760°C) and 1550°F (845°C), and 8.7 at 1700°F (925°C). The values derived from final compositions of the γ matrix after σ precipitation are 7.9 at 1550°F (845°C) and 8.6 at 1700°F (925°C). The bulk diffusion of aluminum into alloys that were otherwise not σ-prone at 1700°F (925°C) caused extensive σ precipitation during aging. This was due to copious precipitation of γ-Ni3Al and β-NiAl, resulting in enrichment of the matrix in elements of the chromium group.
Similar content being viewed by others
References
L. R. Woodyatt, C. T. Sims, and H. J. Beattie, Jr.:Trans. TMS-AIME, 1966, vol. 236, pp. 519–27.
W. J. Boesch and J. S. Slaney:Met. Prog., July 1964, pp. 109-111.
J. R. Mihalisin, C. G. Bieber, and R. T. Grant:Trans. TMS-AIME, 1968, vol. 242, pp. 2399–2414.
S. T. Wlodek:Trans. ASM, 1964, vol. 57, pp. 110–19.
R. L. Dresh field and R. L. Ashbrook: NASA TN-D-5185, April 1969.
W. E. Smith, M. J. Donachie, Jr., and J. L. Johnson:Trans. ASME, 1966, vol. 88D, pp. 4–6.
D. E. Jensen, A. A. Pinkowish, and M. J. Donachie, Jr.;Trans. ASME, 1966, vol. 88D, pp. 109–10.
E. O. Hall and S. H. Algie:Met. Rev., 1966, vol. 11, pp. 61–88.
G. Bergman and D. P. Shoemaker:Acta Cryst., 1954, vol. 7, p. 857.
P. Duwez:Theory of Alloy Phases, ASM, 1956, pp. 243-54.
M. V. Nevitt:Electronic Structure and Alloy Chemistry of the Transition Elements, AIME Symposium, February 1962, P. A. Beck, ed., Wiley-Inter- science, New York, 1963, pp. 101–78.
H. J. Murphy, C. T. Sims, and A. M. Beltran:J. Metals, November 1968, pp. 46-53.
L. Pauling:Phys. Rev., 1938, vol. 54, p. 899.
S. P. Rideout, W. D. Manly, E. L. Kamen, B. S. Lement, and P. A. Beck:Trans. AIME, 1951, vol. 191, pp. 872–76.
D. K. Das, S. P. Rideout, and P. A. Beck:Trans. AIME, 1952, vol. 194, pp. 1071–75.
O. H. Kriege and J. M. Baris:Trans. ASM, 1969, vol. 62, pp. 195–200.
W. T. Loomis, J. W. Freeman, and D. L. Sponseller:Met. Trans., 1972, vol. 3, pp. 989–1000.
A. H. Sully and T. J. Heal:Research, 1948, vol. 1, p. 288.
A. H. Sully:J. Inst. Metals, 1951-52, vol. 80, pp. 173–79.
G. N. Kirby: PhD Thesis, University of Michigan, 1971.
G. P. Sabol and R. Stickler:Phys Status Solidi, 1969, vol. 35, no. 11, pp. 11–52.
R. L. Dreshfield: NASA TN-D-5783, May 1970.
H. E. Collins: Air Force Materials Laboratory Technical Report 68-256, October 1968.
S. P. Rideout and P. A. Beck: NACA Technical Note 2683, April 1952.
W. C. Bigelow, J. A. Amy, and L. O. Brockway:Proc. ASTM, 1956, vol. 56, p. 945.
M. J. Donachie, Jr. and O. H. Kriege:J. Mater., 1972, vol. 7, no. 3, pp. 269–78.
W. R. Bandi, J. L. Lutz, and L. M. Melnick:J. Iron and Steel Inst, 1969, vol. 207, p. 348.
H. E. Collins:International Symposium on Structural Stability in Superalloys, Seven Springs, Pa., 1968, vol. l, pp. 171–98.
P. Duwez and S. R. Baen:Symposium on the Nature, Occurrence, and Effects of Sigma Phase, ASTM Special Technical Publication No. 110, 1951,pp. 48-60.
K. W. Andrews, D. J. Dyson, and S. R. Keown:Interpretation of Electron Diffraction Patterns, Hilger and Watts, 1967, p. 178.
W. C. Bigelow, L. O. Brockway, and J. W. Freeman:ASTM Special Technical Publication, No. 245, 1958, p. 93.
G. D. Pigrova and Ye. Ye. Levin:Fiz. Metal. Metalloved, 1969, vol. 28, no. 5. pp. 858–61.
A. Taylor and R. W. Floyd:J. Inst. Metals, 1952-53, vol. 81, pp. 451–64.
C. J. Smithells:Metals Reference Book, vol. 1, 3rd Ed., Washington, Butter- worths, 1962, pp. 135–37.
F. R. N. Nabarro:Proc. RoyalSoc, 1940, Series A, vol. 175, pp. 519–38.
J. D. Eshelby:Solid State Phys., vol. 3, F. Seitz and D. Turnbull, eds., Academic Press, N. Y., 1956, pp. 115–19.
J. Friedel:Advances in Physics, 1954, vol. 3, pp. 499–505.
L. S. Darken and R. W. Gurry:Physical Chemistry of Metals, McGraw-Hill, N.Y., 1953, pp. 77–8.
C. E. Moore :Ionization Potentials and Ionization Limits Derived from the Analyses of Optical Spectra, National Standard Reference Data System, National Bureau of Standards 34, September 1970, 22 pages.
W. Gordy and W. J. O Thomas:J. Chem. Phys., 1956, vol. 24, no. 2, pp. 439–44.
W. Hume-Rothery, H. M. Irving, and R. J. P. Williams:Proc. Royal Soc., 1951, Series A, vol. 208, pp. 431–43.
L. Deléhouzée and A. Deruyttere:Acta Met., 1967, vol. 15, pp. 727–34.
C. Morizot, Y. Honnorat, and A. Vignes:Mem. Sci. Rev. Met., 1972, LXIX, no. 10, pp. 751–60.
R. G. Barrows and J. B. Newkirk:Met. Trans., 1972, vol. 3, pp. 2889–93.
R. L. Dreshfield and R. L. Ashbrook: NASA TN-D-6015, September 1970.
J. R. Mihalisin:Trans. TMS-AIME, 1967, vol. 239, pp. 180–93.
Author information
Authors and Affiliations
Additional information
This paper is based on a dissertation submitted by GARY N. KIRBY in partial fulfillment of the requirements for the degree of Doctor of Philosophy, Metallurgical Engineering, The University of Michigan, 1971. The study was conducted in the Ann Arbor Research Labora-tory of the Climax Molybdenum Company of Michigan, a subsidiary of American Metal Climax, Inc.
Rights and permissions
About this article
Cite this article
Kirby, G.N., Sponseller, D.L. & van Vlack, L.H. The relative effects of chromium, molybdenum, and tungsten on the occurrence of σ phase in Ni-Co-Cr alloys. Metall Trans 5, 1477–1494 (1974). https://doi.org/10.1007/BF02646635
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02646635