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Finite Element Implementation of a Thermodynamic Description of Piezoelectric Microstructures
Author(s) -
García R. Edwin,
Langer Stephen A.,
Carter W. Craig
Publication year - 2005
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1551-2916.2005.00140.x
Subject(s) - electrostriction , piezoelectricity , finite element method , anisotropy , microstructure , materials science , consistency (knowledge bases) , mixed finite element method , computer science , geometry , structural engineering , physics , mathematics , composite material , optics , engineering
A model and numerical framework is developed for piezoelectric materials. The model treats the piezoelectric and electrostrictive effects by incorporating orientation‐dependent, single‐crystal properties. The method is implemented in Object Oriented Finite Element program, a public domain finite element code, so it can be applied to arbitrary two‐dimensional microstructures with crystallographic anisotropy. The model is validated against analytic solutions. Consistency of the method for known cases permits application of the technique to more complicated two‐dimensional systems. The piezoelectric and electrostrictive response is determined for a few simple device geometries and provides insight for design and convergence criteria.