24 July 1998 Modeling of polarization switching in piezoceramics
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In this paper a finite element model of polarization switching in piezoelectric ceramics is presented. A plane strain four-node element with nodal displacements and voltage degrees of freedom is used. The element incorporates two types of polarization switching: 90 degree(s) and 180 degree(s) switching with electric flux as a switching criterion and with piezoelectric coefficients dependent upon electric field values. The model is used to compute strains for a partially electroded rectangular plate and a hole in a square plate simulating a void in a material. In both of these simulations sufficiently large electric fields are applied to cause domains to rotate 180 degree(s) with calculation of strains along the boundary between dissimilarly poled regions being investigated. In addition to this study, 90 degree(s) domain wall motion is studied on a fully electroded rectangular plate with domains along the diagonal rotated 90 degree(s) and domains in the corners retaining their original polarization. For each of these three cases: partially electroded specimen, void in plate, and full 90 degree(s) switching, the analytical results are compared with experimental data obtained from a Moire interferometer. Comparison between experimental data and theoretical results indicates reasonable agreement between the two suggesting the correct physics is incorporated in the analytical model. In a separate analytical study, stress concentrations near both holes and cracks in the presence of an electric field are calculated. For the linear problem or low electric field values the crack geometry generates significantly larger stresses than a circular hole. For the nonlinear problem, where domain wall motion occurs, the hole and the crack have stress intensity factors of similar magnitude. Finally, reducing the peak stress with implication to extending fatigue life of the piezoceramics is suggested.
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Yevgeniy Fotinich, Yevgeniy Fotinich, Gregory Paul Carman, Gregory Paul Carman, "Modeling of polarization switching in piezoceramics", Proc. SPIE 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures, (24 July 1998); doi: 10.1117/12.316290; https://doi.org/10.1117/12.316290

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