Domain Dynamics in a Ferroelastic Epilayer on a Paraelastic Substrate

[+] Author and Article Information
Y. F. Gao, Z. Suo

Mechanical and Aerospace Engineering Department and Princeton Materials Institute, Princeton University, Princeton, NJ 08544

J. Appl. Mech 69(4), 419-424 (Jun 20, 2002) (6 pages) doi:10.1115/1.1469000 History: Received March 15, 2001; Revised December 22, 2001; Online June 20, 2002
Copyright © 2002 by ASME
Your Session has timed out. Please sign back in to continue.


Lines, M. E., and Glass, A. M., 1977, Principles and Applications of Ferroelectrics and Related Materials, Clarendon Press, Oxford.
Pertsev,  N. A., Zembilgotov,  A. G., and Tagantsev,  A. K., 1998, “Effect of Mechanical Boundary Conditions on Phase Diagrams of Epitaxial Ferroelectric Thin Films,” Phys. Rev. Lett., 80, pp. 1988–1991.
Suo,  Z., 1998, “Stress and Strain in Ferroelectrics,” Curr. Opin. Solid State Mater. Sci., 3, pp. 486–489.
Pompe,  W., Gong,  X., Suo,  Z., and Speck,  J. S., 1993, “Elastic Energy Release due to Domain Formation in the Strained Epitaxy of Ferroelectric and Ferroelastic Films,” J. Appl. Phys., 74, pp. 6012–6019.
Speck,  J. S., and Pompe,  W., 1994, “Domain Configurations due to Multiple Misfit Relaxation Mechanisms in Epitaxial Ferroelastic Thin Films: I Theory,” J. Appl. Phys., 76, pp. 466–476.
Kwak,  B. S., and Erbil,  A., 1992, “Strain Relaxation by Domain Formation in Epitaxial Ferroelectric Thin Films,” Phys. Rev. Lett., 68, pp. 3733–3736.
Sridhar,  N., Rickman,  J. M., and Srolovitz,  D. J., 1996, “Twinning in Thin Films—I. Elastic Analysis,” Acta Mater., 44, pp. 4085–4096.
Sridhar,  N., Rickman,  J. M., and Srolovitz,  D. J., 1996, “Twinning in Thin Films—II, Equilibrium Microstructures,” Acta Mater., 44, pp. 4097–4113.
Seul,  M., and Andelman,  D., 1995, “Domain Shapes and Patterns—The Phenomenology of Modulated Phases,” Science, 267, pp. 476–483.
Ibach,  H., 1997, “The Role of Surface Stress in Reconstruction, Epitaxial Growth and Stabilization of Mesoscopic Structures,” Surf. Sci. Rep., 29, pp. 193–263.
Alerhand,  O. L., Vanderbilt,  D., Meade,  R. D., and Joannopoulos,  J. D., 1988, “Spontaneous Formation of Stress Domains on Crystal Surfaces,” Phys. Rev. Lett., 61, pp. 1973–1976.
Lu,  W., and Suo,  Z., 1999, “Coarsening, Refining, and Pattern Emergence in Binary Epilayers,” Z. Metallkd., 90, pp. 956–960.
Lu,  W., and Suo,  Z., 2001, “Dynamics of Nanoscale Pattern Formation of an Epitaxial Monolayer,” J. Mech. Phys. Solids, 49, pp. 1937–1950.
Suo,  Z., and Lu,  W., 2000, “Composition Modulation and Nanophase Separation in a Binary Epilayer,” J. Mech. Phys. Solids, 48, pp. 211–232.
Cao,  W., and Cross,  L. E., 1991, “Theory of Tetragonal Twin Structures in Ferroelectric Perovskites With a First-Order Phase Transition,” Phys. Rev. B, 44, pp. 5–12.
Hu,  H.-L., and Chen,  L.-Q., 1998, “Three-Dimensional Computer Simulation of Ferroelectric Domain Formation,” J. Am. Ceram. Soc., 81, pp. 492–500.
Nambu,  S., and Sagala,  D. A., 1994, “Domain Formation and Elastic Long-Range Interaction in Ferroelectric Perovkites,” Phys. Rev. B, 50, pp. 5838–5847.
Cao,  W. W., and Randall,  C. A., 1996, “Grain Size and Domain Size Relations in Bulk Ceramic Ferroelectric Materials,” J. Phys. Chem. Solids, 57, pp. 1499–1505.
Randall,  C. A., Kim,  N., Kucera,  J. P., Cao,  W. W., and Shrout,  T. R., 1998, “Intrinsic and Extrinsic Size Effects in Fine-Grained Morphotoropic-Phase Boundary Lead Zirconate Titanate Ceramics,” J. Am. Ceram. Soc., 81, pp. 677–688.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK, p. 69.


Grahic Jump Location
Broken symmetry and lattice mismatch. The substrate has square symmetry. The epilayer has rectangular symmetry, with two variants.
Grahic Jump Location
Schematic illustration of elastic refining; (a) a single-variant epilayer, (b) a two-variant epilayer with appropriate forces applied around the new domain, (c) the external forces removed
Grahic Jump Location
A domain pattern in the epilayer constrained on the substrate
Grahic Jump Location
The Landau expansion as a function of the order parameters. The four wells correspond to spontaneous states.
Grahic Jump Location
Domain wall shape. The domain width is on the order of b.
Grahic Jump Location
Free energy versus domain spacing. Without substrate constraint, the energy decreases as the domain size increases. With substrate constraint, the energy reaches a minimum at a specific domain size.
Grahic Jump Location
Comparison of domain evolution in simulations with substrate constraint and without. The left column is the result with substrate, and parallel domains can be seen. The right column is the result without constraint, and the structure keeps coarsening.



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In