Propagation of harmonic Lamb waves in plates made of functionally graded materials with transverse inhomogeneity is analyzed by applying Cauchy six-dimensional formalism previously developed for the study of Lamb wave propagation in homogeneous or stratified anisotropic plates. For anisotropic plates with arbitrary transverse inhomogeneity a closed form implicit solution for the dispersion equation is derived and analyzed.
AmorMBGhozlenMHB (2014) Lamb waves propagation in functionally graded piezoelectric materials by Peano-series method. Ultrasonics49(5): 1–5.
2.
BaronCNailiS (2010) Propagation of elastic waves in a fluid-loaded anisotropic functionally graded waveguide: Application to ultrasound characterization. Journal of the Acoustical Society of America127(3): 1307–1317.
3.
ChaoXZexingY (2017) Numerical simulation of elastic wave propagation in functionally graded cylinders using time-domain spectral finite element method. Advances in Mechanical Engineering9(11): 1–17
4.
ChenWQDingHJ (2002) On free vibration of a functionally graded piezoelectric rectangular plate. Acta Mechanica153(3–4): 207–216.
HanXLiuGRLamKYet al.(2000) A quadratic layer element for analyzing stress waves in FGMs and its application in material characterization. Journal of Sound and Vibration236(2): 307–321.
7.
KoizumiM (1993) The concept of FGM. Ceramic Transactions: Functionally Gradient Materials34(1): 3–10.
LefebvreJEZhangVGazaletJet al.(2001) Acoustic wave propagation in continuous functionally graded plates: An extension of the Legendre polynomial approach. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control48(5): 1332–1340.
10.
LiuGRTaniJOhyoshiT (1991) Lamb waves in a functionally gradient material plates and its transient response. Part 1: Theory; Part 2: Calculation result. Transactions of the Japan Society of Mechanical Engineers57A: 131–142.
11.
OstachowiczWKudelaPKrawczukM (2011) Guided Waves in Structures for SHM: The Time–Domain Spectral Element Method, Hoboken, NJ: John Wiley & Sons, Inc.
12.
QianZHJinFWangZKet al.(2007) Transverse surface waves on a piezoelectric material carrying a functionally graded layer of finite thickness. International Journal of Engineering Science45(2-8): 455–466.
13.
VlasieVRousseauM (2004) Guide modes in a plane elastic layer with gradually continuous acoustic properties. NDT&E International37(8): 633–644.
14.
ZhongZYuT (2006) Vibration of a simply supported functionally graded piezoelectric rectangular plate. Smart Materials and Structures15(5): 1404–1412.
