Hostname: page-component-8448b6f56d-gtxcr Total loading time: 0 Render date: 2024-04-19T07:31:20.567Z Has data issue: false hasContentIssue false
  • English
  • Français

Hall-Petch Basis for Assessing Alloy Strengthening

Published online by Cambridge University Press:  15 February 2011

Ronald W. Armstrong  and
R. Michael Douthwaite
Ronald W. Armstrong
Affiliation:
Department of Mechanical Engineering, University of Maryland,College Park, MD 20742
R. Michael Douthwaite
Affiliation:
Materials Division, University of Newcastle Upon Tyne, NEl 7RU, Great Britain
Get access

Abstract

The Hall-Petch relation σ = σo + kl−½, provides for the separate consideration of friction stress strengthening within the polycrystal grain volumes through σo and grain boundary strengthening through the product of the microstructural stress intensity k and the reciprocal square root of the grain diameter l Smaller grain diameters are normally obtained at higher alloy contents as illustrated for yield strength results reported for different face-centered-cubic Al-Mg alloys. Results on Al-Li alloy give an interesting example of substantial grain boundary strengthening that is associated with reduced ductility of the material. More complete results reported for the Cu-Al system, allow an evaluation of the strengthening component dependencies on alloy composition, in particular, connecting with a predicted square root of grain boundary obstacle stress in k. The much studied Cu-Zn alloys bring out subtle changes in σo and k

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 362: Symposium J – Grain-Size and Mechanical Properties--Fundamentals and Applications , 1994 , 41
Copyright
Copyright © Materials Research Society 1995

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Armstrong, R.W., Codd, I., Douthwaite, R.M. and Petch, N.J., Philos. Mag. 7 (1962) 45. /Google Scholar
[2] Armstrong, R.W., Acta metall. 16 (1968) 347.Google Scholar
[3] Hauser, F.E., Landon, P.R. and Dorn, J.E., Trans. Amer. Soc. Met. 48 (1956) 986.Google Scholar
[4] Prasad, Y.V.R.K., Madhava, N.M. and Armstrong, R.W., Fourth Bolton Landing Conference: “Grain Boundaries in Engineering Materials” (Claitor's Press, Baton Rouge, LA, 1975) p. 67.Google Scholar
[5] Al-Haidary, J.I., Petch, N.J. and De los Rios, E.R., Philos. Mag. A47 (1983) 869.Google Scholar
[6] Phillips, V.A., Swain, A.J. and Eborall, R., J. Inst. Met. 81 (1952) 625.Google Scholar
[7] Nichols, H. and Rostoker, W., Trans. Amer. Inst. Min. Metall. Engrs. 230 (1964) 251.Google Scholar
[8] Jensrud, O., “Aluminum- Lithium Alloys III”, edited by Baker, C., Gregson, P.J., Harris, S.J. and Peel, C.J. (Inst. Met., London, 1986) p. 411.Google Scholar
[9] Armstrong, R.W. and Elban, W.L., Mater. Sci. Eng. A122 (1989) Ll. Google Scholar
[10] Armstrong, R.W. and Javadpour, S., “Aluminum Alloys: Their Physical and Mechanical Properties”, ICAA4, edited by Sanders, T.H. Jr. and Starke, E.A. Jr., (Georgia Inst. Tech., Atlanta, GA, 1994) Volume II, p. 405.Google Scholar
[11] Evans, J.T., Scr. metall. 21 (1987) 1435.Google Scholar
[12] Nakanishi, K. and Suzuki, H., Trans. Japan Inst. Met. 15 (1974) 435.Google Scholar
[13] Suzuki, H. and Nakanishi, K., Trans. Japan Inst. Met. 16 (1975) 17.Google Scholar
[14] Rhines, F.N. and Lemons, J.E., Amer. Soc. Test. and Mat, Spec. Tech. Publ. 839 (ASTM, Phila. PA, 1984) p. 3.Google Scholar
[15] Jindal, P.C. and Armstrong, R.W., Trans. Metall. Soc., Amer. Inst. Min. Metall. Engrs. 245 (1969) 623.Google Scholar
[16] Douthwaite, R.M., J. Iron Steel Inst. 208 (1970) 265.Google Scholar