正交各向异性弹性层/功能梯度压电半空间结构中Love波的传播

上海交通大学学报（自然版） ›› 2013, Vol. 47 ›› Issue (02): 210-215.

正交各向异性弹性层/功能梯度压电半空间结构中Love波的传播

孔艳平a，陈长虹b，刘金喜a

(石家庄铁道大学 a. 工程力学系； b. 机械工程学院, 石家庄 050043)

收稿日期:2012-02-13 出版日期:2013-02-28 发布日期:2013-02-28
基金资助:
国家自然科学基金（10972147）；长江学者和创新团队发展计划（IRT0971）资助项目

Propagation of Love Waves in the Orthotropic Layer/Functionally Graded Piezoelectric Half-Space

KONG Yan-Ping-a, CHEN Chang-Hong-b, LIU Jin-Xi-a

(a. Department of Engineering Mechanics;b. School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, China)

Received:2012-02-13 Online:2013-02-28 Published:2013-02-28

摘要/Abstract

摘要： 研究了功能梯度压电半空间上覆盖一层正交各向异性弹性层结构中Love波的传播特性.覆盖层与基底的界面连接方式分别考虑了理想接触和非理想接触2种模式，功能梯度压电半空间的材料性能沿垂直于界面方向以指数函数形式变化.基于推导的频散方程，结合数值算例分析了材料性能梯度变化、正交各向异性材料的切割角度和非理想界面的连接程度对相速度的影响，其结果对功能梯度压电材料的覆层结构在声波器件中的应用具有重要的参考价值.

关键词: 功能梯度材料, 压电材料, 正交各向异性, Love波, 频散

Abstract: This paper investigated Love waves propagating in the layered half-space structure consisting of an orthotropic layer and a functionally graded piezoelectric halfspace. The interface conditions of the layered halfspace structure are perfect and imperfect. The material properties of the piezoelectric halfspaces vary exponentially in the direction perpendicular to the interfaces. Based on the dispersion equations, the numerical examples were presented to show the effects of variations of material properties, the cut angle of the orthotropic material and combined effects of the imperfect interface on the phase velocity. The obtained results are useful for the application of functionally graded piezoelectric materials to acoustic wave devices such as plate resonators, filters and sensors.
Key words：

Key words: functionally graded material, piezoelectric material, orthotropic , Love waves, dispersion relation

中图分类号:

O 346

孔艳平a, 陈长虹b, 刘金喜a. 正交各向异性弹性层/功能梯度压电半空间结构中Love波的传播[J]. 上海交通大学学报（自然版）, 2013, 47(02): 210-215.

KONG Yan-Ping-a, CHEN Chang-Hong-b, LIU Jin-Xi-a. Propagation of Love Waves in the Orthotropic Layer/Functionally Graded Piezoelectric Half-Space[J]. Journal of Shanghai Jiaotong University, 2013, 47(02): 210-215.

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