Quadrupole effects on modeling piezoelectric and ferroelectric materials

William S. Oates; Hongbo Wang

doi:10.1117/12.917462

28 March 2012 Quadrupole effects on modeling piezoelectric and ferroelectric materials

William S. Oates, Hongbo Wang

Proceedings Volume 8342, Behavior and Mechanics of Multifunctional Materials and Composites 2012; 834205 (2012) https://doi.org/10.1117/12.917462
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2012, San Diego, California, United States

Abstract

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.

Citation Download Citation

William S. Oates and 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); https://doi.org/10.1117/12.917462

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