Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0093-6413(02)00316-6
Title: Effects of SH waves in a functionally graded plate
Authors: Han, X. 
Liu, G.R. 
Keywords: Elastic waves
Functionally graded material
Modified Bessel functions
Numerical methods
Quadratic layer element
Issue Date: Sep-2002
Source: Han, X.,Liu, G.R. (2002-09). Effects of SH waves in a functionally graded plate. Mechanics Research Communications 29 (5) : 327-338. ScholarBank@NUS Repository. https://doi.org/10.1016/S0093-6413(02)00316-6
Abstract: A computational method is presented to investigate SH waves in functionally graded material (FGM) plates. The FGM plate is first divided into quadratic layer elements (QLEs), in which the material properties are assumed as a quadratic function in the thickness direction. A general solution for the equation of motion governing the QLE has been derived. The general solution is then used together with the boundary and continuity conditions to obtain the displacement and stress in the wave number domain for an arbitrary FGM plate. The displacements and stresses in the frequency domain and time domain are obtained using inverse Fourier integration. Furthermore, a simple integral technique is also proposed for evaluating modified Bessel functions with complex valued order. Numerical examples are presented to demonstrate this numerical technique for SH waves propagating in FGM plates.
Source Title: Mechanics Research Communications
URI: http://scholarbank.nus.edu.sg/handle/10635/60118
ISSN: 00936413
DOI: 10.1016/S0093-6413(02)00316-6
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