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A Two-Dimensional Free Energy Model for Single Crystalline Ferroelectrics

Published online by Cambridge University Press:  01 February 2011

Sang-Joo Kim
Affiliation:
Dept. Mech. & Info. Eng. Univ. of Seoul, Seoul, Korea
Stefan Seelecke
Affiliation:
Dept. Mech. & Aero. Eng. Center for Research in Scientific Computation, North Carolina State Univ., Raleigh, NC 27695
Brian L. Ball
Affiliation:
Center for Research in Scientific Computation, North Carolina State Univ., Raleigh, NC 27695
Ralph C. Smith
Affiliation:
Center for Research in Scientific Computation, North Carolina State Univ., Raleigh, NC 27695
Chang-Hoan Lee
Affiliation:
Korea Institute of Science & Technology Information Seoul, Korea
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Abstract

The one-dimensional free energy model for ferroelectric materials developed in [1-3] is general-ized to two dimensions. The proposed two-dimensional energy potential consists of four energy wells corresponding to four variants of the material, four saddle points representing the barriers for 900 switching processes, and a local energy maximum across which 1800-switching processes take place. The free energy potential is combined with the evolution equations based on the theory of thermally activated processes. The prediction of the model is compared with the recent measurements on a Ba- TiO3 single crystalline ferroelectric in [4]. The responses of the model at various loading frequencies are calculated and the kinetics of 900 and 1800 switching processes are discussed.

Type
Research Article
Copyright
Copyright © Materials Research Society 2005

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References

1 Smith, R.C., Seelecke, S., Ounaies, Z. and Smith, J., J. Intell. Mat. Sys. Struct. 14, 719(2003).CrossRefGoogle Scholar
2 Smith, R.C., Seelecke, S., Ounaies, Z. and Smith, J., Proc. 9th SPIE Conf. on Smart Struct. Mat. 4693, 183(2002)Google Scholar
3 Smith, R.C., Seelecke, S., Dapino, M.J. and Ounaies, Z., submitted to J. Mech. Phys. (2004).Google Scholar
4 Burcsu, E., Ravichandran, G. and Bhattacharya, K., J. Mech. Phys. 52, 823(2004).CrossRefGoogle Scholar
5 Sahota, H., Cont. Mech. Thermodyn. 16, 163(2004).CrossRefGoogle Scholar
6 Ball, B. L., Smith, R. C., Kim, S. J. and Seelecke, S., submitted to J. Intell. Mat. Sys. Struct. (2005).Google Scholar

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