On the Physical Meaning of the Hall-Petch Constant

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In order to solve the contradiction found in the Hall-Petch behavior in the ultra-finegrained- and nano-grained- materials, reinvestigation of the physical meaning of Hall-Petch constants has become necessary. The present work is hence attempted to theoretically construct the Hall-Petch slope constant, KH-P. This was carried out based on the principle of image analysis and previous internal energy approach. After analyzing several influencing factors on the KH-P, a model was established with 95% accuracy in predicting the KH-P value. In other words, this model, for the first time, has related the KH-P value to grain boundary surface energy,γ , shear modulus, G, and lattice constant, a0, via 1/ 2 0 K β G(2a γ ) H P = − .

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Periodical:

Advanced Materials Research (Volumes 15-17)

Edited by:

T. Chandra, K. Tsuzaki, M. Militzer and C. Ravindran

Pages:

643-648

Citation:

J. Luo and Z. R. Wang, "On the Physical Meaning of the Hall-Petch Constant", Advanced Materials Research, Vols. 15-17, pp. 643-648, 2007

Online since:

February 2006

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$38.00

[1] L. Capolungo, M. Cherkaoui, J. Qu: J. Eng. Mater. Tech. 127 (2005), pp.400-407.

[2] K.M. Youssef, R.O. Scattergood, K.L. Murty, C.C. Koch: Appl. Phys. Lett. 85 (2004), p.929931.

[3] H. Kronmueller, M. Wilkens: Scripta Metallurgica 3 (1969), pp.495-501.

[4] M.A. Meyers and K.K. Chawla: Mechanical Metallurgy: Principles and Applications (Printice-Hall, Inc., Englewood Cliffs, New Jersey 1984).

[5] A.W. Thompson: Acta Metall. 23 (1975), pp.1337-42.

[6] E.E. Underwood: Quantitative Stereology (Addison-Welsley Publishing Company, Menlo Park•California•London•Don Mills, Ontario 1970).

[7] J.P. Hirth and J. Lothe: Theory of Dislocations (McGraw-Hill, Inc., New York, St. Louise, San Francisco, Toronto, London, Sydney 1968).

[8] D. Kuhlmann-Wilsdorf: Phil. Mag. A 79 (1999), pp.955-1008.

[9] J.E. Bailey and P.B. Hirsch: Phil. Mag. 5 (1960), pp.485-97.

[10] Information on: http: /www. matweb. com/search/SpecificMaterial. asp?bassnum=AMEAg00.

[11] J.W. Edington: Electron Diffraction in the Electron Microscope (Macmillan, London 1975).