Multi-axial electrical switching of a ferroelectric: theory versus experiment
Multi-axial electrical switching of a ferroelectric: theory versus experiment
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DOI：
10.1016/s0022-5096(00)00052-1
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发表时间：
2001-04-01
影响因子：
5.3
通讯作者：
Fleck, NA
中科院分区：
文献类型：
--
作者：
Huber, JE;Fleck, NA
通过在室温下施加电场对多晶铁电陶瓷PZT-SH的样品进行极化。随后，以与极化方向成一定角度的范围向样品施加电场。测量的非线性响应电位移被用来构建“屈服面”在电场空间对应的铁电开关的发病。结果与三种模型的预测进行了比较：（i）以前的自洽多晶体计算与速率无关，非硬化晶体塑性;（ii）简化的晶体塑性模型与粘塑性（速率依赖）行为和足够数量的转变系统以再现多晶行为;（iii）基于率无关的Row理论的唯象模型，在电场和应力空间中使用运动硬化和二次屈服面。实验结果表明，自洽晶体塑性公式最能再现多晶体的多轴电响应和屈服面。唯象模型能够准确地再现单轴响应，但在其目前的形式下，对于多轴加载路径给出相对较差的性能。在多轴模拟中，一个可以接受的折衷方法是简化的晶体塑性方法。这是能够再现多轴本构行为与合理的精度，同时提供计算简单性和速度类似的唯象模型。(C)2001爱思唯尔科技有限公司版权所有。
Samples of the polycrystalline ferroelectric ceramic PZT-SH were poled by applying an electric field at room temperature. Subsequently, an electric field was applied to the samples at a range of angles to the poling direction. The measured non-linear responses in electric displacement are used to construct "yield surfaces" in electric field space corresponding to the onset of ferroelectric switching. The results are compared with predictions from three models: (i) a previous self-consistent polycrystal calculation with rate-independent, non-hardening crystal plasticity; (ii) a simplified crystal plasticity model with viscoplastic (rate-dependent) behaviour and a sufficient number of transformation systems to reproduce the polycrystalline behaviour; (iii) a phenomenological model based on rate-independent Row theory, using kinematic hardening and a quadratic yield surface in electric field and stress space. The experiments suggest that the self-consistent crystal plasticity formulation is most able to reproduce the multi-axial electrical response and yield surface of the polycrystal. The phenomenological model is able to reproduce the uniaxial response accurately, but gives relatively poor performance for multi-axial loading paths, in its present form. A tolerable compromise in multi-axial modelling is the simplified crystal plasticity approach. This is able to reproduce multi-axial constitutive behaviour with reasonable accuracy, whilst offering computational simplicity and speed similar to that of the phenomenological model. (C) 2001 Elsevier Science Ltd. All rights reserved.