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Proceedings Paper

Free energy model for piezoceramic materials
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Paper Abstract

This paper addresses the development of a free energy model for quantifying the hysteresis and constitutive nonlinearities inherent to piezoceramic materials. In the first step of the development, free energy relations for a single crystal with uniform lattice are considered and used to construct evolution equations which quantify the polarization as a function of the applied field. The effects of nonuniform lattice structures, nonhomogeneous effective fields and polycrystalline materials are then incorporated through the use of appropriate distributions in the free energy formulation. The resulting model, which is an extension of the Muller-Achenbach-Seelecke theory for shape memory alloys, is low-order and hence highly efficient to implement. Attributes of the model are illustrated through comparison with experimental data.

Paper Details

Date Published: 10 July 2002
PDF: 8 pages
Proc. SPIE 4693, Smart Structures and Materials 2002: Modeling, Signal Processing, and Control, (10 July 2002); doi: 10.1117/12.475214
Show Author Affiliations
Ralph C. Smith, North Carolina State Univ. (United States)
Stefan Seelecke, North Carolina State Univ. (United States)
Zoubeida Ounaies, Virginia Commonwealth Univ. (United States)


Published in SPIE Proceedings Vol. 4693:
Smart Structures and Materials 2002: Modeling, Signal Processing, and Control
Vittal S. Rao, Editor(s)

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