Wave Propagation in Second-order Nonlinear Piezoelectric Media

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.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2011
Accession Number
ADA553791

Entities

People

  • David A. Hopkins
  • George A. Gazonas

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Weapons Technologies

DTIC Thesaurus Topics

  • Computational Science
  • Dielectric Permittivity
  • Electric Charge
  • Electric Fields
  • Electromagnetic Fields
  • Equations
  • Equations Of Motion
  • Materials
  • Mechanics
  • Military Research
  • Piezoceramics
  • Piezoelectric Materials
  • Piezoelectricity
  • Plane Waves
  • Standing Waves
  • Voltage
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.
  • Wave Propagation and Nonlinear Chaotic Dynamics.