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首页> 外文期刊>European Journal of Mechanics. A, Solids >Computational modeling of rate-dependent domain switching in piezoelectric materials
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Computational modeling of rate-dependent domain switching in piezoelectric materials

机译：压电材料中速率相关域转换的计算模型

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摘要

In this contribution a micromechanically motivated model for rate-dependent switching effects in piezoelectric materials is developed. The proposed framework is embedded into a three-dimensional finite element setting whereby each element is assumed to represent an individual grain. Related dipole (polarization) directions are thereby initially randomly oriented at the element level to realistically capture the originally un-poled state of grains in the bulk ceramics. The onset of domain switching processes is based on a representative energy criterion and combined with a linear kinetics theory accounting for time-dependent propagation of domain walls during switching processes. In addition, grain boundary effects are incorporated by making use of a macromechanically motivated probabilistic approach. Standard volume-averaging techniques with respect to the response on individual grains in the bulk ceramics are later on applied to obtain representative hysteresis and butterfly curves under macroscopically uniaxial loading conditions at different loading frequencies. It turns out that the simulations based on the developed finite element formulation nicely match experimental data reported in the literature.
机译：在这一贡献中，开发了用于压电材料中速率依赖的开关效应的微机械激励模型。所提出的框架被嵌入到三维有限元设置中，其中假定每个元素代表一个单独的晶粒。因此，相关的偶极（极化）方向最初在元素级别随机定向，以实际捕获块状陶瓷中晶粒的原始非极化状态。畴切换过程的开始是基于代表性的能量准则，并与线性动力学理论相结合，考虑了在切换过程中畴壁随时间的传播。另外，通过利用宏观力学驱动的概率方法来结合晶界效应。随后，针对大块陶瓷中单个晶粒响应的标准体积平均技术将应用于在不同加载频率下宏观单轴加载条件下的代表性磁滞和蝶形曲线。事实证明，基于开发的有限元公式的模拟与文献中报道的实验数据完全匹配。

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