Multiscale Modeling of Piezoelectric Materials

Abstract

Piezoelectric materials possess tremendous potential in twenty-first century engineering applications. A high-fidelity model is sought that can more accurately predict piezoelectric behavior by embedding parameters typically associated with the fine scale (i.e., atomic scale) into contemporary piezoelectric macroscale formulation. The research presented is theoretical and demonstrates how this can be realized. The material examined is lead-zirconate-titanate. The model presented utilizes an energy potential based on atomistic attractive forces to develop an elastic modulus that is incorporated into classical macroscale piezoelectric governing equations in lieu of the standard elasticity tensor. Also presented will be ideas for future work, whereby the atomistic modulus is utilized in a variational multiscale environment.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 2008
Accession Number
ADA494112

Entities

People

  • John D. Clayton
  • Peter W. Chung
  • Steven Creighton

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Chemistry
  • Computational Science
  • Constitutive Equations
  • Continuum Mechanics
  • Elastic Properties
  • Engineering
  • Equations
  • Materials
  • Mathematical Models
  • Mechanics
  • Modulus Of Elasticity
  • Molecular Dynamics
  • Multiscale Modeling
  • Piezoelectric Materials
  • Standards
  • Three Dimensional
  • United States Military Academy

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Materials Science and Engineering.