Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-03T05:41:01.279Z Has data issue: false hasContentIssue false

Hall-Petch and Multiple Linear Regression Equations for the Prediction of Mechanical Properties in Gamma-Based Titanium Aluminides

Published online by Cambridge University Press:  15 February 2011

W. O. Soboyejo
Affiliation:
Department of Materials Science and Engineering, The Ohio State University, 2041 College Road, Columbus OH 43210–1179
A. B. O. Soboyejo
Affiliation:
Department of Materials Science and Engineering, The Ohio State University, 2041 College Road, Columbus OH 43210–1179
Y. Ni
Affiliation:
Department of Materials Science and Engineering, The Ohio State University, 2041 College Road, Columbus OH 43210–1179
C. Mercer
Affiliation:
Department of Materials Science and Engineering, The Ohio State University, 2041 College Road, Columbus OH 43210–1179
Get access

Extract

In a recent paper, Mercer and Soboyejo [1] demonstrated the Hall-Petch dependence of basic room- and elevated-temperature (815°C) mechanical properties (0.2% offset strength), ultimate tensile strength, plastic elongation to failure and fracture toughness) on the average equiaxed/lamellar grain size. Simple Hall-Petch behavior was shown to occur in a wide range of extruded duplex α2-γ alloys (Ti-48A1, Ti-48Al-1.4Mn Ti-48Al-2Mn and Ti-48Al-1.5Cr). As in steels and other materials [2–5], simple Hall-Petch equations with were derived for the above properties [1]. However, the Hall-Petch equations did not include the effect of other variables that can affect to the basic mechanical properties of gamma alloys. Multiple linear regression equations for the prediction of the combined effects of several (alloying, microstructure and temperature) variables on basic mechanical properties temperature are presented in this paper.

Type
Research Article
Copyright
Copyright © Materials Research Society 1997

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

REFERENCES

1. Mercer, C. and Soboyejo, W. O., Hall-Petch Relationships in Gamma Titanium Aluminides, Scripta Metallurgica et Materialia, 1996 (in press).Google Scholar
2. Armstrong, R.W., Tensile Ductilty Dependence on Polycrystal Grain Size, Proc. 7th Int. Conf. on The Strength of Metals and Alloys, Pergamon Press, New York, Vol. 1, pp. 196200, 1985.Google Scholar
3. Armstrong, R.W., Hall-Petch Analysis of Yield, Flow and Fracturing, MRS Symposium Proc, MRS, Pittsburgh, PA, Vol. 362, pp. 4047, 1994.Google Scholar
4. Petch, N.J. and Armstrong, R.W., The Tensile Test, Acta Metall. Mater., Vol 38, pp. 26952700, 1990.Google Scholar
5. Soboyejo, W.O., Mercer, C., Lou, K. and Heath, S., Metall. Mater. Trans., Vol. 26A, pp. 22752291, 1995.Google Scholar
6. Bruckner, A., Numerical Methods in Probabilistic Fracture Mecahnics, in Probabilistic Fracture Mecahnics and Reliability, Provan, J.N., Editor, Martinus Nijhoff, Dodrecht, The Netherlands, pp. 351386, 1987.Google Scholar