title: Wave propagation in layered piezoelectric rectangular bar: an extended orthogonal polynomial approach.
abstract: Wave propagation in multilayered piezoelectric structures has received much attention in past forty years. But the research objects of previous research works are only for semi-infinite structures and one-dimensional structures, i.e., structures with a finite dimension in only one direction, such as horizontally infinite flat plates and axially infinite hollow cylinders. This paper proposes an extension of the orthogonal polynomial series approach to solve the wave propagation problem in a two-dimensional (2-D) piezoelectric structure, namely, a multilayered piezoelectric bar with a rectangular cross-section. Through numerical comparison with the available reference results for a purely elastic multilayered rectangular bar, the validity of the extended polynomial series approach is illustrated. The dispersion curves and electric potential distributions of various multilayered piezoelectric rectangular bars are calculated to reveal their wave propagation characteristics.
authors.affiliation: School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454003, PR China; Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany.
authors.forename: J G
authors.initials: JG
authors.lastname: Yu
authors.affiliation: Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany.
authors.forename: Ch
authors.initials: Ch
authors.lastname: Zhang
authors.affiliation: Univ Lille Nord de France, F-59000 Lille, France; UVHC, IEMN-DOAE, F-59313 Valenciennes Cedex 9, France; CNRS, UMR 8520, F-59650 Villeneuve d'Ascq, France. Electronic address: jean-etienne.lefebvre@univ-valenciennes.fr.
authors.forename: J E
authors.initials: JE
authors.lastname: Lefebvre
keywords: Guided waves; Multilayered structures; Orthogonal polynomials; Piezoelectric materials; Rectangular bar