Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-28T19:02:28.693Z Has data issue: false hasContentIssue false
  • English
  • Français

Effect of particle size distribution on strength of precipitation-hardened alloys

Published online by Cambridge University Press:  03 March 2011

A.J. Kulkarni ,
K. Krishnamurthy ,
S.P. Deshmukh  and
R.S. Mishra
A.J. Kulkarni
Affiliation:
Department of Mechanical and Aerospace Engineering and Engineering Mechanics,University of Missouri–Rolla, Rolla, Missouri 65409
K. Krishnamurthy
Affiliation:
Department of Mechanical and Aerospace Engineering and Engineering Mechanics,University of Missouri–Rolla, Rolla, Missouri 65409
S.P. Deshmukh
Affiliation:
Department of Metallurgical Engineering, University of Missouri–Rolla, Rolla, Missouri 65409
R.S. Mishra*
Affiliation:
Department of Metallurgical Engineering, University of Missouri–Rolla, Rolla, Missouri 65409
*
a)Address all correspondence to this author.e-mail: rsmishra@umr.edu
Get access

Abstract

Aging of precipitation hardened alloys results in particle coarsening, which in turn affects the strength. In this study, the effect of particle size distribution on the strength of precipitation-hardened alloys was considered. To better represent real alloys, the particle radii were distributed using the Wagner and Lifshitz and Slyozov (WLS) particle size distribution theory. The dislocation motion was simulated for a range of mean radii and the critical resolved shear stress (CRSS) was calculated in each case. Results were also obtained by simulating the dislocation motion through the same system but with the glide plane populated by equal strength particles, which represent mean radii for each of the aging times. The CRSS value with the WLS particle distribution tends to decrease for lower radii than it does for the mean radius approach. The general trend of the simulation results compares well with the analytical values obtained using the equation for particle shearing and the Orowan equation.

Keywords

DislocationsComputer simulationStrength
Type
Articles
Information
Journal of Materials Research , Volume 19 , Issue 9 , September 2004 , pp. 2765 - 2773
Copyright
Copyright © Materials Research Society 2004

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.Nembach, E.: Particle Strengthening of Metals and Alloys, 1st ed. (John Wiley and Sons, New York, 1996)Google Scholar
2.Olson, G.B.: Computational design of hierarchically structured materials, Science 277, 1237 (1997).CrossRefGoogle Scholar
3.Kulkarni, A.J., Krishnamurthy, K., Deshmukh, S.P. andMishra, R.S.: Microstructural optimization of alloys using a genetic algorithm. Mater. Sci. Eng. A 372,213 (2004).CrossRefGoogle Scholar
4.Kocks, U.F.: A statistical theory of flow stress and work hardening. Philos. Mag. 13, 541 (1962).CrossRefGoogle Scholar
5.Foreman, A.J.E. andMakin, M.J.: Dislocation movement through random array of obstacle, Philos Mag. 14, 911 (1966).CrossRefGoogle Scholar
6.Foreman, A.J.E. andMakin, M.J.: Dislocation movement through random array of obstacle. Can. J. Phys. 45, 511 (1967).CrossRefGoogle Scholar
7.Klahn, J.W. Morris Jr.and D.H.: Thermally activated dislocation glide through a random array of point obstacles: computer simulation. J. Appl. Phys. 45, 2027 (1974).Google Scholar
8.Klahn, J.W. Morris Jr.and D.H.: Statistics of the thermally activated glide of a dislocation through a random array of point obstacle. J. Appl. Phys. 44, 4882 (1973).Google Scholar
9.Hanson, K., Morris, J.W. and Jr., : Limiting configuration in dislocation glide through a random array of point obstacles. J. Appl. Phys. 46, 983 (1975).CrossRefGoogle Scholar
10.Schwarz, R.B. andLabusch, R.: Dynamic simulation of solution hardening. J. Appl. Phys. 49, 5174 (1978).CrossRefGoogle Scholar
11.Ronnpagel, D., Streit, Th. andPretorius, Th.: Including thermal activation in simulation calculation of dislocation glide. Phys. Status Solidi 135, 445 (1993).CrossRefGoogle Scholar
12.Zhu, A.W., Starke, E.A. and Jr., : Strengthening effect of unshearable particles of finite size: A computer experimental study. Acta Mater 47, 3263 (1999).CrossRefGoogle Scholar
13.Zhu, A.W., Csontos, A., Starke, E.A. and Jr., : Computer experiment on superposition of strengthening effects of different particles. Acta Mater 47, 1713 (1999).CrossRefGoogle Scholar
14.Mohles, V., Ronnpagel, D. andNembach, E.: Simulation of dislocation in precipitation hardened materials. Comput. Mater. Sci. 16, 144 (1999).CrossRefGoogle Scholar
15.Mohles, V. andNembach, E.: The peak and overaged states of particle strengthened materials: Computer simulations. Acta Mater. 49, 2405 (2001).CrossRefGoogle Scholar
16.Mohles, V. andFruhstorfer, B.: Computer simulation of orowan process controlled dislocation glide in particle arrangement of various randomness. Acta Mater. 50, 2503 (2002).CrossRefGoogle Scholar
17.Takahashi, A., Soneda, N., and Yagawa, G.: In Material Modeling-Atomistic Level, edited by Mang, H.A., Rammerstorfer, F.G., and Eberhardsteiner, J. (Fifth World Congress on Computational Mechanics, Vienna, Austria, 2002).Google Scholar
18.Ostwald, W.: Periodische Erscheinungen bei der auflosung des chroms in sauren. Zeistschr. Phys. Chem. 34, 495 (1900).Google Scholar
19.Wagner, C.: Theorie der Alterung von Niederschlagen durch Umlosen (Ostwald-Reifung). Z. Elektrochem. 65, 581 (1961).Google Scholar
20.Lifshitz, I.M. andSlyozov, V.V.: The kinetics of precipitation from supersaturated solid solutions. J. Phys. Chem. Solids 19 35 (1961).CrossRefGoogle Scholar
21.Ratke, L. andVoorhees, P.W.Growth and Coarsening: Ostwald Ripening in Material Processing, 1st ed. (Springer-Verlag, Berlin, Germany, 2002)CrossRefGoogle Scholar
22.Porter, D. andEasterling, K.: Phase Transformations in Metals and Alloys, 1st ed. (T.J. Press (Padstow) Ltd., Cornwall, U.K., 1981)Google Scholar
23.Martin, J.W.Precipitation Hardening, 1st ed. (Pergamom Press Ltd., Oxford, U.K., 1968)Google Scholar
24.Russ, J.C. andDehoff, R.T.: Practical Stereology, 2nd ed. (Kluwer Academic/Plenum Publishers, New York, 2000)CrossRefGoogle Scholar
25.Kendig, K.L. andMiracle, D.B.: Strengthening Mechanisms of an Al-Mg-Sc-Zr Alloy, Acta Mater 50, 4165 (2002).CrossRefGoogle Scholar
26.Friedel, J., Dislocations, 1st ed. (Addison-Wesley, Reading, Massachusetts, 1964)Google Scholar
27.Hirth, J.P. andLothe, J.: Theory of Dislocations, 2nd ed. (John Wiley and Sons, New York, 1982)Google Scholar
28.Nabarro, F.R.N.Theory of Crystal Dislocations (Oxford University Press, London, U.K., 1967).Google Scholar