Love Wave in an Isotropic Half-Space with a Graded Layer

Li Gang Zhang; Hong Zhu; Hong Biao Xie; Jian Wang

doi:10.4028/www.scientific.net/AMM.325-326.252

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 325-326Love Wave in an Isotropic Half-Space with a Graded...

Love Wave in an Isotropic Half-Space with a Graded Layer

Abstract:

This work addresses the dispersion of Love wave in an isotropic homogeneous elastic half-space covered with a functionally graded layer. First, the general dispersion equations are given. Then, the approximation analytical solutions of displacement, stress and the general dispersion relations of Love wave in both media are derived by the WKBJ approximation method. The solutions are checked against numerical calculations taking an example of functionally graded layer with exponentially varying shear modulus and density along the thickness direction. The dispersion curves obtained show that a cut-off frequency arises in the lowest order vibration model.