Elastic Guided Waves in a Layered Plate With a Rectangular Cross Section

Abstract

Ultrasonic guided waves in a layered elastic plate of rectangular cross section (finite width and thickness) are studied in this paper. A semi-analytical finite element method in which the deformation of the cross section is modeled by two-dimensional finite elements and analytical representation of propagating waves along the long dimension of the plate is used. The method is applicable to an arbitrary number of layers of anisotropic properties and is similar to that used earlier to study guided waves in layered anisotropic plates of infinite width. Numerical results are presented for acoustic phonon modes of quasi-one-dimensional (QID) wires. For homogeneous wires, these agree well with recently reported results for dispersion of these modes.