Generalized thermoelastic band structures of Rayleigh wave in one-dimensional phononic crystals

TL;DR

This paper explores how thermoelastic effects influence Rayleigh wave band structures in 1-D phononic crystals, revealing thermal and elastic band interactions and their impact on wave transmission.

Contribution

It introduces a generalized approach to analyze thermoelastic Rayleigh wave band structures using Green-Nagdhi theory and transfer matrix methodology.

Findings

Thermoelasticity affects the width and position of band gaps.

Thermal effects can narrow the band gaps.

Elastic and thermal bands coexist in the band structure.

Abstract

We investigate generalized band structures of Rayleigh wave in 1-D phononic crystals in the context of Green-Nagdhi thermoelastic (TE) theory. Solutions of the coupled equations included thermal field are obtained firstly. Then according to boundary conditions, phase velocity is derived. The transfer matrix methodology is adopted in order to formulate the band structures of generalized TE Rayleigh wave. It is demonstrated that the band structure of TE Rayleigh wave is comprised of elastic and thermal bands. For Aluminum-Epoxy phononic crystal, the thermoelasticity can influence the transmission ability of band gaps as well as narrow down the band gap width.