Peculiarities of Lamb Waves Propagating in Functionally Graded Layers

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Abstract

Propagation of harmonic Lamb waves in plates made of functionally graded materials (FGM) with transverse inhomogeneity is studied by the modified Cauchy six-dimensional formalism. For arbitrary transverse inhomogeneity a closed form dispersion equation is derived. Dispersion relations for materials with different kinds of inhomogeneity are obtained and compared.

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About the authors

E. A. Kasparova

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences

Email: kuzn-sergey@yandex.ru
Russian Federation, Moscow

S. V. Kuznetsov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences

Author for correspondence.
Email: kuzn-sergey@yandex.ru
Russian Federation, Moscow

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Supplementary files

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2. Fig. 1. Layer of thickness 2h; unit vector is directed along the wave propagation; - normal to the median plane

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3. Fig. 2. Young's modulus variation with thickness: left (); right ()

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4. Fig. 3. Fundamental symmetric modes of Lamb waves: a: ; b:

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