Grain Boundary Area, Grain Boundary Curvature and Particle Pinning in an Al-1mass%Mn Alloy Containing Al6Mn Precipitates

Article Preview

Abstract:

The usual expression to calculate the limiting grain radius due to particle pinning is RL=ar/f, where r is the particle radius, f is the volume fraction of the particles, RL is the limiting grain radius and a is a constant equal to 1/6 according to Rios[Acta Metall. Vol. 35 (1987) p. 2805]. This form is not convenient for comparison with experimental measurements. In this work two alternative expressions are proposed: 1)SVL=3SVP where SV is the grain boundary area per unit of volume and SVP is the interface area per unit of volume and 2)H=SVP where H is the total grain boundary curvature. These expressions are compared with experimental measurements carried out in a high purity Al-1mass%Mn alloy containing Al6Mn precipitates annealed for 3600 s at temperatures ranging from 500 to 620 oC. Good agreement is obtained between theory and experiment. The relative merits and shortcomings of each expression are discussed in detail from a fundamental and experimental point of view. It is concluded that the first expression is probably the best choice for practical purposes.

You might also be interested in these eBooks

Info:

Periodical:

Materials Science Forum (Volumes 467-470)

Pages:

991-996

Citation:

Online since:

October 2004

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2004 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] C. Zener: quoted in C. S. Smith, Trans. A. I. M. E. Vol. 175 (1948), p.47.

Google Scholar

[2] P. R. Rios: Acta Metall. Vol. 35 (1987) p.2805.

Google Scholar

[3] P. R. Rios: Scripta Mater. Vol. 34 (1996) p.1185.

Google Scholar

[4] P. A. Manohar, M. Ferry and T. Chandra: ISIJ International Vol. 38 (1998) p.913.

Google Scholar

[5] P. R. Rios and G. S. Fonseca: Scripta Mater. Vol. 50 (2004) p.71.

Google Scholar

[6] P. R. Rios and G. S. Fonseca: submitted to Scripta Mater. (2004).

Google Scholar

[7] J. E. Taylor: Acta Metall. Mater. Vol. 40 (1992) p.1475.

Google Scholar

[8] R. T. DeHoff: Trans. Metall. Soc. AIME Vol. 239 (1967) p.617.

Google Scholar

[9] J. C. Russ and R. T. Dehoff: Practical Stereology, 2nd ed., ( Kluwer Academic, New York, 2000).

Google Scholar

[10] B. R. Patterson and Y. Liu: Metall. Trans. Vol. 23A (1992) p.248.

Google Scholar