Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-13T02:57:11.686Z Has data issue: false hasContentIssue false
  • English
  • Français

Stress Driven Rearrangement Instability of Crystalline Films with Electromechanical Interaction

Published online by Cambridge University Press:  01 February 2011

Peter Chung ,
John Clayton ,
Melanie M Cole ,
Michael Grinfeld ,
Pavel Grinfeld  and
William Nothwang
Peter Chung
Affiliation:
pchung@arl.army.mil, US Army Research Laboratory, AMSRD-ARL-CI-HC, Aberdeen Proving Ground, MD, 21005-5069, United States
John Clayton
Affiliation:
clayton@arl.army.mil, US Army Research Laboratory, AMSRD-ARL-WM-TD, Aberdeen Proving Ground, MD, 21005-5069, United States
Melanie M Cole
Affiliation:
mcole@arl.army.mil, US Army Research Laboratory, AMSRD-ARL-WM-MA, Aberdeen Proving Ground, MD, 21005-5069, United States
Michael Grinfeld
Affiliation:
mgreenfield@arl.army.mil, US Army Research Laboratory, AMSRD-ARL-WM-TD, 4600 Deer Creek Loop, Aberdeen Proving Ground, MD, 21005-5069, United States
Pavel Grinfeld
Affiliation:
pg@math.drexel.edu, Drexel University, Mathematics Department, Philadelphia, PA, 19104, United States
William Nothwang
Affiliation:
wnothwang@arl.army.mil, US Army Research Laboratory, AMSRD-ARL-CI-HC, Aberdeen Proving Ground, MD, 21005-5069, United States
Get access

Abstract

It was demonstrated, on general thermodynamic grounds, that, in non-hydrostatically stressed elastic systems, phase and grain interfaces undergo morphological destabilization due to different mechanisms of “mass rearrangement”. Destabilization of free surfaces due to the combined action of mass rearrangement in the presence of electrostatic field has been well known since the end of the 19th century. Currently, morphological instabilities of thin solid films with electro-mechanical interactions have found various applications in physics and engineering. In this paper, we investigate the combined effects of the stress driven rearrangement instabilities and the destabilization due to the electro-mechanical interactions. The paper presents relevant results of theoretical studies for ferroelectric thin films. Theoretical analysis involves highly nonlinear equations allowing analytical methods only for the initial stage of unstable growth. At present, we are unable to explore analytically the most important, deeply nonlinear regimes of growth. To avoid this difficulty, we developed numerical tools facilitating the process of solving and interpreting the results by means of visualization of developing morphologies.

Keywords

ferroelectricmorphologyself-assembly
Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 924: Symposium Z – Mechanics of Nanoscale Materials and Devices , 2006 , 0924-Z07-04
Copyright
Copyright © Materials Research Society 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Cole, M. W., Geyer, R. G., Hubbard, C., Ngo, E., Ervin, M., Wood, M., J. Appl. Phys. 92, 475 (2002).Google Scholar
[2] Park, B. H., Peterson, E. J., Jia, Q. X., Lee, J., Zeng, X., Si, W., and Xi, X. X., Appl. Phys. Lett. 78, 533 (2001).Google Scholar
[3] Cole, M. W., Nothwang, W. D., Hubbard, C., NgO, E., and Ervin, M., J. Appl. Phys. 93, 9218 (2003).Google Scholar
[4] Chang, W., Horwitz, J. S., Carter, A. C., Pond, J. M., Kirchoefer, S. W., Gilmore, C. M., and Chrisey, D. B., Appl. Phys. Lett. 74, 1033 (1999).Google Scholar
[5] Herring, C. J., Appl. Phys., 21, 437 (1950).Google Scholar
[6] Lifshitz, I. M., Soviet Physics JETP 17, 909 (1963).Google Scholar
[7] Flynn, C. E., Point Defects and Diffusion (Clarendon Press, 1972).Google Scholar
[8] Christian, J. W., The Theory of Transformations in Metals and Alloys (Pergamon Press, 1975).Google Scholar
[9] Geguzin, Ya. E., Physics of Sintering (Nauka, 1984).Google Scholar
[10] Mullins, W.W., J. Appl. Phys. 28, 333 (1957).Google Scholar
[11] Grinfeld, M. A., Hazzledine, P., Phil. Mag. Lett. 74, 17 (1996).Google Scholar
[12] Grinfeld, M.A., Hazzledine, P, Europhys. Lett. 37, 409 (1997).Google Scholar
[13] Berdichevsky, V., Hazzledine, P., Shoykhet, B., Int. J. Engng Sci. 35, 103 (1997).Google Scholar
[14] Grinfeld, P. M., Grinfeld, M. A., Ferroelectrics (2006) (in press).Google Scholar
[15] Grinfeld, M. A., Thermodynamic Methods in the Theory of Heterogeneous Systems (Longman, 1991).Google Scholar
[16] Grinfeld, M. A., Scanning Microscopy 8, 869 (1994).Google Scholar
[17] Nozières, Ph., “Shape and Growth of Crystals”, Solids Far From Equilibrium, ed. Godrèche, C., Cambridge: (Camb. Univ. Press, 1991) pp. 1–153.Google Scholar
[18] Vasudev, P., Asaro, R. J., and Tiller, W.A., Acta Metall. 23, 341 (1975).Google Scholar
[19] Landau, L. D., and Lifshitz, E. M., Electrodynamics of Continuous Media (Pergamon Press, 1984).Google Scholar
[20] Tonks, L., Phys. Rev. 48, 562 (1935).Google Scholar