Wave Propagation in Second-order Nonlinear Piezoelectric Media

Report No. ARL-TR-5766
Authors: David A. Hopkins and George A. Gazonas
Date/Pages: September 2011; 44 pages
Abstract: Computational results for the response of piezoelectric materials to various excitations are presented. The governing equations are based on a second-order theory of piezoelectricity, which is specialized for the 6mm crystal class. The equations are formulated in a Lagrangian reference configuration. These equations represent the fully coupled nonlinear multiphysics response. Numerical solutions of these equations are first verified using analytical solutions for wave propagation in linear piezoelectric media. The effects of the nonlinear coupling introduced by higher order elastic, dielectric, and piezoelectric coupling coefficients are then examined.
Distribution: Approved for public release
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Last Update / Reviewed: September 1, 2011