Finite element model of ferroelectric/ferroelastic polycrystals

Stephen C. Hwang; Robert M. McMeeking

doi:10.1117/12.388224

14 June 2000 Finite element model of ferroelectric/ferroelastic polycrystals

Stephen C. Hwang, Robert M. McMeeking

Proceedings Volume 3992, Smart Structures and Materials 2000: Active Materials: Behavior and Mechanics; (2000) https://doi.org/10.1117/12.388224
Event: SPIE's 7th Annual International Symposium on Smart Structures and Materials, 2000, Newport Beach, CA, United States

Abstract

A finite element model of polarization switching in a polycrystalline ferroelectric/ferroelastic ceramic is developed. It is assumed that a crystallite switches if the reduction in potential energy of the polycrystal exceeds a critical energy barrier per unit volume of switching material. Each crystallite is represented by a finite element with the possible dipole directions assigned randomly subject to crystallographic constraints. The model accounts for both electric field induced switching and stress induced switching with piezoelectric interactions. Experimentally measured elastic, dielectric, and piezoelectric constants are used consistently, bu different effective critical energy barriers are selected phenomenologically. Electric displacement versus electric field, stress versus strain, and stress versus electric displacement loops of a ceramic lead lanthanum zirconate titanate are modeled well below the Curie temperature.

Citation Download Citation

Stephen C. Hwang and Robert M. McMeeking "Finite element model of ferroelectric/ferroelastic polycrystals", Proc. SPIE 3992, Smart Structures and Materials 2000: Active Materials: Behavior and Mechanics, (14 June 2000); https://doi.org/10.1117/12.388224

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