Variant Selection in Zr Alloys: How Many Variants Generated from one Beta Grain?

Pierre Barbéris; Frank Montheillet; Cédric Chauvy

doi:10.4028/www.scientific.net/SSP.105.133

Paper Titles

Determination of Grain-Orientation-Dependent Stress in Coatings
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On the Calculation of the Eshelby Tensor and the Beauty of our Nature
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Crystallographic Relationships between FCC and BCC Crystals: A Study Using EBSD Techniques
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β Microtexture Analysis in Correlation with HCP Textured Regions Observed in a Forged Near Alpha Titanium Alloy
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Variant Selection in Zr Alloys: How Many Variants Generated from one Beta Grain?
p.133

Crystallographic Phase Composition and Structural Analysis of Ti-Ni-Fe Shape Memory Alloy by Synchrotron Diffraction
p.139

Variant Orientation Distribution in a Near-γ Ti-Al Alloy with a Lamellar Microstructure
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Texture Evolution In Fe-1%Si as a Function of High Magnetic Field
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Local Orientation Gradient and Recrystallization of Deformed Copper
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Variant Selection in Zr Alloys: How Many Variants Generated from one Beta Grain?

Abstract:

The elastic energy of a set of the twelve variants generated during the b ® a transformation of zirconium, with volume fractions fi, i=1..12, is derived with simplifying assumptions and the conditions on the fi to reach the energy minimum are established analytically. The minimum number of variants needed to reach this minimum is shown to be 6, and in this case, the variants have very specific volume fractions. Another result is that the maximum volume fraction of any variant is 1/3.

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Periodical:

Solid State Phenomena (Volume 105)

Pages:

133-138

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.105.133

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Online since:

July 2005

Authors:

Pierre Barbéris, Frank Montheillet, Cédric Chauvy

Keywords:

Elastic Energy, Phase Transformation, Zirconium Alloys

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References

[1] M. Bornert, T. Bretheau, and P. Gilormini Homogénéisation en mécanique des matériaux 1. Matériaux aléatoires élastiques et milieux périodiques, HERMES Science Europe, Ltd (2001).

Google Scholar

[2] D. L. Douglass The metallurgy of zirconium. Atomic Energy Review. (1971).

Google Scholar

[3] N. Gey and M. Humbert Acta materialia 50 (2002) , 277-287.

Google Scholar

[4] N. Gey, M. Humbert, Gautier E., and J. L. Bechade ICOTOM.: 13th international. conf. on textures. of materials. (proc. conf. ) (2002).

Google Scholar

[5] M. Humbert and N. Gey Acta materialia 51 (15-9-2003) 16, 4783-4790.

Google Scholar

[6] M. Shibata and K. Ono, Acta met. 25 (1977) , 35-42.

Google Scholar