Cauchy formalism for Lamb waves in functionally graded plates. (March 2019)

• Record Type: Journal Article
• Authors: Kuznetsov, Sergey V.
• Is Part Of: Journal of vibration and control. Volume 25:Number 6(2019)
• Page Start: 1227
• Page End: 1232
• Publication Date: 2019-03
• Subjects: Functionally graded materials -- Lamb wave -- Cauchy formalism -- anisotropy -- dispersion; Vibration -- Periodicals; Damping (Mechanics) -- Periodicals; 620.3
• DOI: 10.1177/1077546318815376
• Languages: English
• ISSNs: 1077-5463

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.