Open AccessAnalysis of Lamb waves propagation in functional gradient materials using Taylor expansion method
Author(s) -
Kui Hong,
Yuan Ling,
Zhonghua Shen,
Xiaowu Ni
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.104303
Subject(s) - materials science , lamb waves , legendre polynomials , taylor series , dispersion (optics) , phase velocity , constant (computer programming) , mathematical analysis , functionally graded material , mechanics , wave propagation , composite material , material properties , physics , optics , mathematics , computer science , programming language
The technology of ultrasound can be used to evaluate properties of functionally graded materials(FGMs). Because of the inhomogeneity of the FGM properties, distribution function is used to describe the FGM elastic constant and density which are assumed to vary in the direction of the thickness. Taylor expansion method is used to solve Lamb wave propagation problems in FGMs, in which the distribution function is an arbitrary function. Phase velocity dispersion curves for Lamb waves in iron-based alumina FGMs are obtained by using an extension of the Legendre polynomial approach, and the effects of the gradient variation of iron-based alumina FGMs properties on Lamb wave propagation characteristics are discussed in detail. The conclusion could be useful for inversing elastic constant and density, which are varied along the thickness direction, of FGMs.