28 March 2012 Quadrupole effects on modeling piezoelectric and ferroelectric materials
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Electromechanical coupling in ferroelectric materials is extended to include the electric quadrupole. Internal lattice displacements are coupled to strain to calculate both the polarization and the quadrupole and to provide general methods to describe both acoustic and optical material behavior. Electromechanical coupling of a monodomain is first analyzed and followed by finite element phase field simulations of a 180° domain wall. A comparison between explicit electrostrictive coupling and nonlinear geometric effects is given which illustrate that phenomenological electrostriction gives exactly the same electromechanical coupling as obtained from introducing an effective field within the electrostatic Lorentz force.
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William S. Oates, William S. Oates, Hongbo Wang, Hongbo Wang, } "Quadrupole effects on modeling piezoelectric and ferroelectric materials", Proc. SPIE 8342, Behavior and Mechanics of Multifunctional Materials and Composites 2012, 834205 (28 March 2012); doi: 10.1117/12.917462; https://doi.org/10.1117/12.917462

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