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Abstract：
As smart structures are becoming increasingly ubiquitous in our daily life, the need for efficient modeling electromechanical coupling devices is also rapidly advancing. Smart structures are often made of piezoelectric materials such as lead zirconate titanate (PZT), which exhibits strong nonlinear behavior known as hysteresis effect under a large applied electric field. There have been numerous modeling techniques that are able to capture such an effect; some techniques are suitable for obtaining physical insights into the micro-structure of the material, while other techniques are better-suited to practical structural analyses. In this paper, we aim to achieve the latter. We propose a simplified phenomenological macroscopic model of a nonlinear ferroelectric actuator. The assumption is based on the direct relation between the irreversible strain and irreversible electric field, and the consequently irreversible polarization. The proposed model is then implemented in a finite element framework, in which the main features such as local return mapping and the tangent moduli are derived. The outcomes of the model are compared and validated with experimental data. Therefore, the development presented in this paper can be a useful tool for the modeling of nonlinear ferroelectric actuators.
摘要：
随着智能结构在我们的日常生活中变得越来越普遍，对高效建模机电耦合装置的需求也在迅速推进。智能结构通常由压电材料制成，例如锆钛酸铅（PZT），在大电场下表现出强烈的非线性行为，称为滞后效应。已经有许多建模技术能够捕获这种效果;一些技术适用于获得对材料微观结构的物理见解，而其他技术更适合实际的结构分析。在本文中,我们的目标是实现后者。我们提出了非线性铁电执行器的简化现象学宏观模型。该假设基于不可逆应变和不可逆电场之间的直接关系，以及因此产生的不可逆极化。然后在有限元框架中实现所提出的模型，其中导出了局部回波映射和正切模等主要特征。将模型的结果与实验数据进行了比较和验证。因此,本文提出的开发可以成为非线性铁电执行器建模的有用工具。
