Computational modeling of uniaxial antiferroelectric and antiferroelectric‐like actuators

Abstract

Recently, antiferroelectric and antiferroelectric‐like materials have regained interest in electronic devices, such as field‐effect transistors, memory, and transducers. Particularly in micro/nano‐electromechanical coupling systems such as actuators, these innovative materials, with their peculiar phase transition between antiferroelectric and ferroelectric phases, show promise in offering large electro‐strain, fast response, and low power consumption devices. However, compared to numerous computational models of ferroelectric actuators, numerical modeling of antiferroelectric and antiferroelectric‐like actuators remains relatively unexplored. In this paper, we propose a phenomenological model of uniaxial antiferroelectric and antiferroelectric‐like actuators based on their switching polarization behavior. Specifically, both the double hysteresis loop of antiferroelectric materials and the pinched hysteresis loop of antiferroelectric‐like materials can be captured by two hyperbolic tangent functions. This allows us to cast a polarization‐dependent strain and piezoelectric tensor into the constitutive laws. The proposed model is then implemented into a finite element framework, in which the voltage‐induced deformation can be solved using the Newton–Raphson procedure. Numerical examples of both antiferroelectric and antiferroelectric‐like actuators are illustrated and compared with experimental data, showing our proposed model can serve as a useful tool for the design and development of antiferroelectric and antiferroelectric‐like actuators.