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Stress Effects and Non-Linearities in Dwfusional Mixing of Multilayers

Published online by Cambridge University Press:  10 February 2011

D.L. Beke ,
P. Nemes ,
Z. Erdélyi ,
I.A. Szabó  and
D.G. Langer
D.L. Beke
Affiliation:
Department of Solid State Physics, L. Kossuth University, 4010 Debrecen, P.O. Box 2.Hungary, dlbeke@tigris.klte.hu
P. Nemes
Affiliation:
Department of Solid State Physics, L. Kossuth University, 4010 Debrecen, P.O. Box 2., Hungary
Z. Erdélyi
Affiliation:
Department of Solid State Physics, L. Kossuth University, 4010 Debrecen, P.O. Box 2., Hungary
I.A. Szabó
Affiliation:
Department of Solid State Physics, L. Kossuth University, 4010 Debrecen, P.O. Box 2., Hungary
D.G. Langer
Affiliation:
Department of Solid State Physics, L. Kossuth University, 4010 Debrecen, P.O. Box 2., Hungary
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Abstract

In classical treatments of diffusional mixing of multilayers it is usually supposed that i) the intrinsic diffiision coefficients, Di, are independent of concentration, and they are equal (the Kirkendall shift is zero) [1]; ii) the stress effects are discussed in the framework of the CahnHilliard--theory [1,2]; iii) the deviation from the continuum description can be analysed for a sinusoidal concentration distribution in the discrete Fick equations. These limitations are discussed here and numerical simulations are used to show the effects of the strong concentration dependence of Di. The role of stresses are discussed in the framework of the treatment given by Stephenson [3], which contains the effect of simultaneous stress relaxation (Kirkendall-shift) as well. For the correct description of the Kirkendall-effect a generalised analytical expression for the gradient energy term is also given. The consequences of above effects on the decay of the intensity of the first small angle Bragg peak, due to the concentration modulation, is illustrated.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 527: Symposium Z – Diffusion Mechanisms in Crystalline Materials , 1998 , 99
Copyright
Copyright © Materials Research Society 1998

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References

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