title: Legendre and Laguerre polynomial approach for modeling of wave propagation in layered magneto-electro-elastic media.
abstract: A numerical method to compute propagation constants and mode shapes of elastic waves in layered piezoelectric-piezomagnetic composites, potentially deposited on a substrate, is described. The basic feature of the method is the expansion of particle displacement, stress fields, electric and magnetic potentials in each layer on different polynomial bases: Legendre for a layer of finite thickness and Laguerre for the semi-infinite substrate. The exponential convergence rate of the method for propagation of Love waves is numerically verified. The main advantage of the method is to directly determine complex wave numbers for a given frequency via a matricial eigenvalue problem, in a way that no transcendental equation has to be solved. Results are presented and the method is discussed.
authors: International Associated Laboratory LEMAC: IEMN, UMR CNRS 8520, PRES Lille Nord de France, ECLille, 59652 Villeneuve d'Ascq, France. olivier.boumatar@iemn.univ-lille1.fr
authors: Olivier
authors: O
authors: Bou Matar
authors: Noura
authors: N
authors: Gasmi
authors: Huan
authors: H
authors: Zhou
authors: Marc
authors: M
authors: Goueygou
authors: Abdelkrim
authors: A
authors: Talbi
mesh_terms: D000162:Acoustics / Q000295:instrumentation; D017609:Barium Compounds / Q000737:chemistry; D003035:Cobalt / Q000737:chemistry; D003198:Computer Simulation; D004548:Elasticity; D004560:Electricity; D004867:Equipment Design; D058085:Iron Compounds / Q000737:chemistry; D060526:Magnetic Fields; D008962:Models, Theoretical; D009038:Motion; D049329:Nanostructures; D009556:Niobium / Q000737:chemistry; D009716:Numerical Analysis, Computer-Assisted; D010087:Oxides / Q000737:chemistry; D015203:Reproducibility of Results; D012822:Silicon Dioxide / Q000737:chemistry; D013016:Sound; D014025:Titanium / Q000737:chemistry
chemical_list: D017609:Barium Compounds; D058085:Iron Compounds; D010087:Oxides; D009556:Niobium; C091692:lithium niobate; C024547:barium titanate(IV); D003035:Cobalt; D012822:Silicon Dioxide; D014025:Titanium