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HomeDefect and Diffusion ForumDefect and Diffusion Forum Vols. 258-260Diffusion and Stress in Tungsten; Different Time...

Diffusion and Stress in Tungsten; Different Time Scales

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Abstract:

The Darken method is used to evaluate and compare different time scales in an ideal crystal lattice. The crystalline tungsten exemplifies presented approach. It is shown that in this metal and at 1273 K the time scales differ by nine orders of magnitude. Particular emphasis is given to the problem of deformation, the temperature and the mass diffusion time scales in tungsten quasicontinuum. The transport process in the nonuniform temperature and stress field is characterized by representative velocities. These velocities allow to quantify the time and length scales and can be used for the proper non-dimensialization and effective solution of the particular transport problems.

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Diffusion in Solids and Liquids, DSL-2006 I

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Periodical:

Defect and Diffusion Forum (Volumes 258-260)

Pages:

79-84

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.258-260.79

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Online since:

October 2006

Authors:

Marek Danielewski, Bartłomiej Wierzba

Keywords:

Self-Diffusion, Self-Diffusion Velocity, Stress, Time Scales, Tungsten

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© 2006 Trans Tech Publications Ltd. All Rights Reserved

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[1] J.L. Lebowitz: Rev. of Modern Phys. Vol. 71 (1999), p.347.

[2] http: /www. webelements. com.

[3] R.S. Lakes: IMA Mathematics of Multiscale Materials vol. 99 (1998), p.129.

[4] L.S. Darken: Trans. AIME Vol. 174 (1948), p.184.

[5] K. Holly and M. Danielewski: Phys. Rev. B Vol. 50 (1994), p.13336.

[6] W. Nernst: Z. Phys. Chem. Vol. 4 (1889), p.129.

[7] M. Planck: Ann. Phys. Chem. Vol. 40 (1890), p.561.

[8] A. Einstein: Annalen der Physik Vol. 17 (1905), p.549.

[9] J. W. Gibbs, Trans. Conn. Acad., 2 (1873), p.382.

[10] L. D. Landau and E. M. Lifshits: Fluid Mechanics (Butterworth-Heinemann, Oxford 1987).

[11] M. Danielewski and W. Wakihara: Defect and Diff. Forum, 237-240 (2005), p.151.

[12] M. P. Marder: Condensed Matter Physics (John Wiley & Sons, New York 2000).

[13] P. Deurinck and C. Creemers: Surf. Sci. Vol. 441 (1999), p.493.

[14] S. Helfensteyn, J. Luyten, L. Feyaerts and C. Creemers: Appl. Surf. Sci. Vol. 212-213 (2003), p.844.

DOI: 10.1016/s0169-4332(03)00088-6

[15] A. Melzer, M. Klindworth, and A. Piel: Physical Review Letters Vol. 87 (2001).

[16] A. Suzuki and Y. Mishin: Interface Science Vol. 11 (2003), p.131.

[17] B. Wierzba, A. śmudzki and M. Pietrzyk: The effect of stresses on kinetics of diffusion, in Proc. Conf. KomPlasTech, (Wydawnictwo Naukowe , Akapit', Ustroń 2005), p.107.

[18] Gmelin Handbook of Inorganic Chemistry: vol. A3 (1989), p.161.