Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30174
Isotropic Stress Distribution in Cu/(001) Fe Two Sheets

Authors: A. Derardja, L. Baroura, M. Brioua

Abstract:

The nanotechnology based on epitaxial systems includes single or arranged misfit dislocations. In general, whatever is the type of dislocation or the geometry of the array formed by the dislocations; it is important for experimental studies to know exactly the stress distribution for which there is no analytical expression [1, 2]. This work, using a numerical analysis, deals with relaxation of epitaxial layers having at their interface a periodic network of edge misfit dislocations. The stress distribution is estimated by using isotropic elasticity. The results show that the thickness of the two sheets is a crucial parameter in the stress distributions and then in the profile of the two sheets. A comparative study between the case of single dislocation and the case of parallel network shows that the layers relaxed better when the interface is covered by a parallel arrangement of misfit. Consequently, a single dislocation at the interface produces an important stress field which can be reduced by inserting a parallel network of dislocations with suitable periodicity.

Keywords: Parallel array of misfit, interface, isotropic elasticity, single crystalline substrates, coherent interface

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1334886

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1216

References:


[1] V. Martin, W. Meyer, C. Giovanardi, L. Hammer, and K. Heinz, Z. Tian, D. Sander, and J. Kirschner, Pseudomorphic growth of Fe monolayers on Ir(001)-(1×1): From a fct precursor to a bct film, Phys. Rev. B 76, 205418, 2007.
[2] Dirk Sander, Zhen Tian and J├╝rgen Kirschner, Cantilever measurements of surface stress, surface reconstruction, film stress and magnetoelastic stress of Monolayers, Sensosrs 8, p 4466-4486, 2008.
[3] P. H. Pumpharey, H. Gleiter, P. J. Goodhew, Phil. Mag.vol. 36, issue 5, 1977, pp 1099-1107.
[4] A. Lakshmanan, V. Gopal, A. H. King and E. P. Kvam, Dislocation array in the interfaces between substrates and epitaxial islands, Mat. Res. Soc. Symp. Proc. Vol. 672, 2001.
[5] T. Furuhara and T. Maki, Interfacial structure of grain boundary precipitate in a Ni-45% Cr alloy, Materials Transactions, JIM, Vol. 33, N 8, 1992, pp 734-739. A. M. Andrews, R. Le Sar, M. A. Kerner, J. S. Speck, A. E. Romanov, A. L. Kolesnikova, M. Bobeth and W. Pompe, Modeling Crosshatch surface morphology in growing mismatched layers,Part II: Periodic boundary conditions and dislocation groups, Journal of Applied Physics vol.95,N11, 2004.
[6] L. B. Freund, Advances in applied mechanics, Vol. 30, edited by John W. Hutchinson, Y. Wu Theodore, 1994.
[7] Nye JF. Acta Metall 1953; 1 pp 153.
[8] D. Le Bolloc-h, V.L. Jacques, N. Kirova, J. Dumas, S. Ravy, J. Marcus, F. Livet, Phys. Rev. Lett.vol. 100,2008.
[9] R. Bonnet and J. L. Verger Gaugry, Phil. Mag. A., Vol. 66,1992, p 849.