Effective properties of piezoelectric polycrystals

Andreas Froehlich; Angelika Brueckner-Foit; Stephan Weyer

doi:10.1117/12.388212

14 June 2000 Effective properties of piezoelectric polycrystals

Andreas Froehlich, Angelika Brueckner-Foit, Stephan Weyer

Proceedings Volume 3992, Smart Structures and Materials 2000: Active Materials: Behavior and Mechanics; (2000) https://doi.org/10.1117/12.388212
Event: SPIE's 7th Annual International Symposium on Smart Structures and Materials, 2000, Newport Beach, CA, United States

Abstract

Effective elastic, dielectric, and piezoelectric properties of piezoceramics are calculated with the finite element method using a representative volume element. A polycrystal is considered which consists of single-domain crystals defined by a 2D random Voronoi tessellation. The random orientations of the domains in the unpoled state are described by an isotropic orientation distribution. To model poled stats, simple switching criteria are applied, so that e.g. the polarization direction of the individual grains fall within a cone of a specific angle about the poling direction. Homogeneous boundary conditions are imposed and the volume averages of the local mechanical and electrical fields are calculated. The effective material properties can then be calculated as a function of the single crystal moduli and the poling degree. The main advantages of this procedure are the more realistic random geometry and the fact that interactions among the grains are taken into account. Interest is focused on basic questions such as the influence of the boundary conditions, the necessary size of the representative volume element, and the variation of the effective moduli due to the stochastic model, in particular due to the orientation distribution. The numerical results are compared to those of analytical models.

Citation Download Citation

Andreas Froehlich, Angelika Brueckner-Foit, and Stephan Weyer "Effective properties of piezoelectric polycrystals", Proc. SPIE 3992, Smart Structures and Materials 2000: Active Materials: Behavior and Mechanics, (14 June 2000); https://doi.org/10.1117/12.388212

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available