A thermodynamic consistent material model for hysteresis effects in ferroelectric ceramics and its finite element implementation

Sven Klinkel; Werner Wagner

doi:10.1117/12.715997

9 April 2007 A thermodynamic consistent material model for hysteresis effects in ferroelectric ceramics and its finite element implementation

Sven Klinkel, Werner Wagner

Author Affiliations +

Proceedings Volume 6526, Behavior and Mechanics of Multifunctional and Composite Materials 2007; 65260C (2007) https://doi.org/10.1117/12.715997
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2007, San Diego, California, United States

Abstract

This paper is concerned with a macroscopic constitutive law for domain switching effects, which occur in piezoelectric ceramics. The thermodynamical framework of the law is based on two scalar valued functions: the electric free Gibbs energy and a switching surface. In common usage, the remanent polarization and the remanent strain are employed as internal variables. The novel aspect of the present work is to introduce an irreversible electric field, which serves besides the irreversible strain as internal variable. The irreversible electric field has only theoretical meaning, but it makes the formulation very suitable for a finite element implementation, where displacements and the electric potential are the nodal degrees of freedom. The constitutive model reproduces the ferroelastic and the ferroelectric hysteresis as well as the butterfly hysteresis and it accounts for the mechanical depolarization effect.

Citation Download Citation

Sven Klinkel and Werner Wagner "A thermodynamic consistent material model for hysteresis effects in ferroelectric ceramics and its finite element implementation", Proc. SPIE 6526, Behavior and Mechanics of Multifunctional and Composite Materials 2007, 65260C (9 April 2007); https://doi.org/10.1117/12.715997

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