LI L J, ZHANG B, YU J G,et al.Study on Lamb wave characteristics in the 1-D hexagonal quasi-crystal plate[J].Journal of Henan Polytechnic University(Natural Science) ,2022,41(6):130-136.

doi:10.16186/j.cnki.1673-9787.2021040003

Received:2021/04/09

Revised:2021/09/18

Published:2022/11/25

Study on Lamb wave characteristics in the 1-D hexagonal quasi-crystal plate

LI Liangjuan1, ZHANG Bo2, YU Jiangong2, ZHANG Xiaoming2

1.School of Mathematics and Information Science， Henan Polytechnic University， Jiaozuo 454000， Henan， China；2.School of Mechanical and Power Engineering， Henan Polytechnic University， Jiaozuo 454000， Henan， China

Abstract:Due to its high brittleness，quasi-crystal structures are very sensitive to defects in the material preparation，such as cracks and inclusions.Ultrasonic guided waves are of multi-mode and dispersion characteristics，and can be used to identify the micro-cracks and other defects in the structure.However，the prerequisite utilizing them is a deep understanding of their propagation and attenuation characteristics.Accordingly，wave dynamic equations were derived in the context of the Bak’s and elastohydrodynamic models.An improved Legendre polynomial series approach was developed to obtain analytic solutions without iteration.The dispersion curves，phonon，and phason displacement distributions of Lamb wave in the 1-D hexagonal quasi-crystal plate were illustrated.The phonon-phason coupling effect on the wave characteristics was investigated.The results demonstrated that，the phonon-phason coupling effect in the context of the Bak’s model on phonon modes was extremely weak，and significant on phason modes；The phonon-phason coupling effect in the context of elastohydrodynamic model had significant influence on the non-propagating phason modes，without affecting phonon modes.A theoretical basis for the guided wave non-destructive testing on 1-D hexagonal quasi-crystal plates was provided by the results.

Key words:quasi-crystal;Lamb wave;phonon-phason coupling effect;dispersion curve;displacement distribution

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