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Transference of SH waves in a piezoelectric fiber-reinforced composite layered structure employing perfectly matched layer and infinite element techniques coupled with finite elements
Finite Elements in Analysis and Design ( IF 3.1 ) Pub Date : 2022-07-19 , DOI: 10.1016/j.finel.2022.103814
Sayantan Guha , Abhishek Kumar Singh

Most commercially used piezoelectric materials suffer from certain drawbacks like low piezoelectric output, brittle nature, etc. Thus, they cannot be utilized to their fullest extent in dynamic applications involving actuators, transducers, Surface Acoustic Wave (SAW) devices, and Love wave sensors, among others. The present work focuses on the transference attributes of anti-plane SH wave in a layered structure composed of a piezoelectric fiber-reinforced composite (PFRC) layer lying over a piezoelectric half-space. The PFRC composed of PZT-5A-epoxy is micro-mechanically modeled using Strength of Materials and Rule of Mixtures, and some of its electro-mechanical advantages over monolithic PZT-5A are discussed. The dispersion relation is obtained by analytical means, as well as two numerical techniques, viz., Semi-Analytical Finite Element - Perfectly Matched Layer (SAFE-PML) technique and Semi Analytical Infinite Element (SAIFE) technique with (1/r) type decay. The Rayleigh–Ritz method and Gauss 3-point quadrature formula are employed to derive the dispersion relation numerically. The effects of the existing parameters, viz. fiber volume fraction, PML length, PML function, etc., on the dispersion curves are graphically demonstrated and discussed. The present work is validated by matching the obtained results with the ones found in the extant literature.



中文翻译:

SH波在压电纤维增强复合层状结构中的传递,采用完美匹配层和无限元技术与有限元耦合

大多数商业使用的压电材料都存在某些缺点,例如压电输出低、易碎等。因此,它们不能在涉及致动器、换能器、表面声波 (SAW) 设备和 Love 波传感器的动态应用中得到最大程度的利用。其中。目前的工作重点是反平面 SH 波在层状结构中的传递属性,该层状结构由位于压电半空间上的压电纤维增强复合材料 (PFRC) 层组成。使用材料强度和混合物规则对由 PZT-5A 环氧树脂组成的 PFRC 进行了微机械建模,并讨论了其相对于单片 PZT-5A 的一些机电优势。色散关系是通过分析手段获得的,以及两种数值技术,即,半解析有限元 - 完全匹配层 (SAFE-PML) 技术和具有 (1/r) 型衰减的半解析无限元 (SAIFE) 技术。采用瑞利-里兹法和高斯三点求积公式数值推导色散关系。现有参数的影响,即。光纤体积分数、PML 长度、PML 函数等,对色散曲线进行了图形演示和讨论。通过将获得的结果与现有文献中的结果相匹配来验证目前的工作。光纤体积分数、PML 长度、PML 函数等,对色散曲线进行了图形演示和讨论。通过将获得的结果与现有文献中的结果相匹配来验证目前的工作。光纤体积分数、PML 长度、PML 函数等,对色散曲线进行了图形演示和讨论。通过将获得的结果与现有文献中的结果相匹配来验证目前的工作。

更新日期:2022-07-19
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