Udalov Artur, Alikin Denis, Kholkin Andrei
School of Natural Sciences and Mathematics, Ural Federal University, 620000 Ekaterinburg, Russia.
Department of Physics & CICECO-Aveiro Institute of Materials, University of Aveiro, 3810-193 Aveiro, Portugal.
Sensors (Basel). 2021 May 26;21(11):3707. doi: 10.3390/s21113707.
The analytical solution for the displacements of an anisotropic piezoelectric material in the uniform electric field is presented for practical use in the "global excitation mode" of piezoresponse force microscopy. The solution is given in the Wolfram Mathematica interactive program code, allowing the derivation of the expression of the piezoresponse both in cases of the anisotropic and isotropic elastic properties. The piezoresponse's angular dependencies are analyzed using model lithium niobate and barium titanate single crystals as examples. The validity of the isotropic approximation is verified in comparison to the fully anisotropic solution. The approach developed in the paper is important for the quantitative measurements of the piezoelectric response in nanomaterials as well as for the development of novel piezoelectric materials for the sensors/actuators applications.
针对压电力显微镜“全局激发模式”的实际应用，给出了均匀电场中各向异性压电材料位移的解析解。该解以Wolfram Mathematica交互式程序代码给出，使得在各向异性和各向同性弹性特性情况下都能推导压电力响应的表达式。以铌酸锂和钛酸钡单晶模型为例，分析了压电力响应的角度依赖性。通过与完全各向异性解对比，验证了各向同性近似的有效性。本文所提出的方法对于纳米材料中压电响应的定量测量以及用于传感器/致动器应用的新型压电材料的开发具有重要意义。
