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Numerical Implementation of Nonlinear Piezoelectric Models in Commercially Available Tools

[+] Author Affiliations
M. A. Siddiq Qidwai

Science Applications International Corporation, Washington, DC

V. G. DeGiorgi, S. A. Wimmer

Naval Research Laboratory, Washington, DC

Paper No. IMECE2007-41299, pp. 65-72; 8 pages
doi:10.1115/IMECE2007-41299
From:
  • ASME 2007 International Mechanical Engineering Congress and Exposition
  • Volume 10: Mechanics of Solids and Structures, Parts A and B
  • Seattle, Washington, USA, November 11–15, 2007
  • Conference Sponsors: ASME
  • ISBN: 0-7918-4304-1 | eISBN: 0-7918-3812-9
  • Copyright © 2007 by ASME

abstract

Commercially available finite element programs currently provide only linear piezoelectric models for device analysis, precluding their use in understanding domain-switching based failure mechanisms, and thus, limiting their usefulness in predicting accurate life cycle estimates for devices. This work is an initial attempt to bridge this gap by slightly modifying and implementing an existing macromechanical theoretical framework, which represents a broader class of nonlinear model development, in commercial software. The rate-independent evolution equations of remanent variables in the original model are replaced by their rate-dependent form which better imitates physical reality and facilitate quick implementation. Decoupled ferroelectric and ferroelastic versions of the model have been successfully realized and tested. Ongoing work is focused on incorporating the fully coupled model, which will then be used to simulate switching near cracks in PMN-PT single crystal material.

Copyright © 2007 by ASME

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