Cauchy formalism for Lamb waves in functionally graded plates

Abstract

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.

Keywords

Functionally graded materials Lamb wave Cauchy formalism anisotropy dispersion

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