覆盖层为功能梯度材料弹性半平面中的Love波  

LOVE WAVE IN ELASTIC HALF-PLANE WITH FUNCTIONALLY GRADED MATERIALS COVERED LAYER

作　　者：张立刚[1] 盖秉政[1] 朱虹[2] 

机构地区：[1]哈尔滨工业大学航天工程与力学系,哈尔滨150001 [2]哈尔滨工业大学复合材料与结构研究所,哈尔滨150001

出　　处：《工程力学》2008年第1期76-81,共6页Engineering Mechanics

基　　金：国家自然科学基金资助项目(10272036)

摘　　要：对均匀各向同性弹性半平面上覆盖一层功能梯度材料中存在的Love波的频散问题进行了研究,给出了Love波频散方程的一般形式。利用WKBJ近似理论,给出了功能梯度材料层的位移、应力近似解析解,导出了Love波WKBJ近似频散方程的一般形式。该文以功能梯度材料层的剪切弹性模量和质量密度沿厚度方向均为指数函数变化为例,进行了实例计算和分析,给出了频散曲线,讨论了Love波在功能梯度材料覆盖层弹性半平面中传播的一般性质。这些结论对无损检测和反问题分析方法的改进提供理论依据。The dispersion problem of Love wave in the homogeneous elastic half-plane covered with a functionally graded materials layer is studied, and the general form of Love wave dispersion equation is presented. By using of the WKBJ approximation method, the closed-analytical solutions of displacement and stress in functionally graded materials layer are obtained, and the general form of Love wave dispersion equation is educed The properties of functionally graded materials whose shear modulus and mass density are gradually varing in exponential forms along the thickness are calculated and analyzed. The curves of dispersion are presented and the general properties of Love wave propagation in the elastic half-plane covered with a functionally graded materials layer are discussed. This can provide basis for nondestructive tests or the inversion analysis of wave motions.

关 键 词：功能梯度材料 WKBJ法 LOVE波 波速 频散 

分 类 号：O343.7[理学—固体力学]