Love Wave in Graded Half-Space with Homogeneous Layer

张立刚 1; 盖秉政 1; 朱虹 2

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Love Wave in Graded Half-Space with Homogeneous Layer

更新时间：2025-12-08

- Love Wave in Graded Half-Space with Homogeneous Layer
- Vol. 41, Issue 3, Pages: 372-376(2007)
- 作者机构：
  
  哈尔滨工业大学航天工程与力学系,哈尔滨,150001
- 作者简介：
- 基金信息：
- DOI：
  CLC： O346.1
- Online First：10 March 2007，
  
  Published：2007
- 稿件说明：
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张立刚 1, 盖秉政 1, 朱虹 2. Love Wave in Graded Half-Space with Homogeneous Layer[J]. 2007, 41(3): 372-376.
DOI：

张立刚 1, 盖秉政 1, 朱虹 2. Love Wave in Graded Half-Space with Homogeneous Layer[J]. 2007, 41(3): 372-376. DOI：

摘要

对覆盖一层均匀各向同性材料的功能梯度半空间中的Love波频散问题进行了研究

给出了Love波频散方程的一般形式.对功能梯度半空间的反平面剪切波的运动控制方程进行了求解

给出了半空间的位移、应力解析解

导出了该解析解下的Love波频散方程的一般形式.以功能梯度材料的剪切弹性模量和质量密度沿深度方向均呈指数变化和抛物线变化两种情况为例

进行了计算和分析

给出了频散曲线.结果显示:在最低阶振型频散曲线中出现了截止频率.

Abstract

The dispersion problem of Love waves is investigated in the functionally graded half-space covered with an isotropic homogeneous layer. In the functionally graded half-space

the governing equation of antiplane shear wave is solved

the analytical solutions of displacement and stress are obtained

and the corresponding general form of Love waves dispersion equation is deduced. Two cases of functionally graded materials with exponentially and parabolically varying shearing modulus and mass density along the depth are evaluated

and the dispersion curves are presented. It is found that the cut-off frequency arises in the dispersion curve of the lowest order vibration modal.

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references

Ewing W M, Jardetzky W S, Press F. Elastic waves in layered media [M]. New York: McGraw-Hill, 1957:205-212.

Ke Liaoliang, Wang Yuesheng, Zhang Zimao. Love wave in an inhomogeneous fluid saturated porous layered half-space with linearly varying properties [J]. Soil Dyn and Ear Eng, 2006, 26(6/7): 574-581.

Ke LiaoLiang, Wang Yuesheng, Zhang Zimao. Propagation of Love waves in an inhomogeneous fluid saturated porous layered half-space with properties varying exponentially [J]. J Eng Mech, 2005, 131(12): 1322-1328.

Roznowski T. Surface waves in an isotropic elastic non-homogeneous semi-space [J]. Arch Mech, 1987, 39(4): 337-358.

Sotiropoulos D A. Dispersion of elastic waves in periodically inhomogeneous media [J]. Comput Mech, 1993, 12(3): 134-146.

Li X Y, Wang Z K, Huang S H. Love waves in functionally graded piezoelectric materials [J]. Int J Solids Struct, 2004, 41(26): 7309-7328.

Liu H, Wang Z K, Wang T J. Effect of initial stress on the propagation behavior of Love waves in a layered piezoelectric structure [J]. Int J Solids Struct, 2001, 38(1): 37-51.

Abd-Alla A M, Ahmed S M. Propagation of Love waves in a nonhomogeneous orthotropic elastic layer under initial stress overlying semi-infinite medium [J]. Appl Math and Comput, 1999, 106(2/3): 265-275.

黎在良,刘殿魁. 固体中的波[M]. 北京:科学出版社,1995: 220-222.

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