Lamb波在含孔隙功能梯度材料中传播特性的研究  

Theoretical research on propagation characteristics of Lamb waves in porous FGMs

作　　者：洪轲[1] 袁玲[1] 沈中华[1] 倪晓武[1] 

机构地区：[1]南京理工大学理学院,南京210094

出　　处：《声学技术》2012年第6期539-543,共5页Technical Acoustics

基　　金：国家自然科学基金项目(61108013);江苏省自然科学基金(BK2011695);高等学校博士学科点专项科研基金(20103219120040);中国博士后科学基金(20100481087)

摘　　要：研究了含有孔隙的功能梯度材料(Functionally Gradient Materials,FGMs)中Lamb波的传播特性。利用本征函数展开法和孔隙率与弹性常数之间的关系,讨论了不同孔隙率情况下有限厚度铁基氧化铝功能梯度材料中Lamb波的相速度色散曲线,分析了孔隙率对铁基氧化铝功能梯度材料中Lamb波相速度的影响。研究结果表明Lamb波的相速度色散曲线能够同时反映功能梯度材料的弹性模量、泊松比、密度和孔隙率四个方面的信息,为含有孔隙的功能梯度材料弹性性质的反演提供了理论依据。Research in this essay is about the propagation characteristics of the Lamb waves in porous functionally gradient materials（FGMs）.With the help of eigenfunction expansion method and the relationship between elastic constants with porosity,this essay discusses phase velocity dispersion curves of the Lamb waves in iron-based alumina FGMs of finite thickness under different porosities.It also analyses the effects of porosity on the phase velocities of the Lamb waves in iron-based alumina FGMs.The results validate that the dispersion curves for Lamb waves can reflect the information of elastic modulus,Poisson ratio,density and porosity in FGMs,the conclusion can be useful to study inverse properties of porous layered materials.

关 键 词：功能梯度材料 孔隙率 LAMB波 相速度 

分 类 号：O426.2[理学—声学]