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Title: Transient waves in plates of functionally graded materials
Authors: Han, X. 
Liu, G.R. 
Lam, K.Y. 
Keywords: Elastic wave
Fourier transformation
Functionally graded material
Hybrid numerical method
Stress wave
Three-dimensional problem
Issue Date: 20-Nov-2001
Source: Han, X., Liu, G.R., Lam, K.Y. (2001-11-20). Transient waves in plates of functionally graded materials. International Journal for Numerical Methods in Engineering 52 (8) : 851-865. ScholarBank@NUS Repository.
Abstract: A numerical method is proposed for analyzing transient waves in plates of functionally graded material (FGM) excited by impact loads. The material properties of the FGM plate have a gradient in the thickness direction and are anisotropic in the plane of the plate. In the present method, the FGM plate is divided into layer elements in the thickness direction. For an accurate modelling of the variation of the material property of FGM plates, it is expressed by second-order polynomials in the thickness direction within an element. This can further reduce the number of elements to obtain more accurate results effectively. The principle of virtual work is used to develop approximate dynamic equilibrium equations. The displacement response is determined by employing the Fourier transformation and the modal analysis. As examples, the displacement response of FGM plates excited by line, point and distributed loads is calculated. The computations have shown the efficiency of the present method. Copyright © 2001 John Wiley and Sons, Ltd.
Source Title: International Journal for Numerical Methods in Engineering
ISSN: 00295981
DOI: 10.1002/nme.237
Appears in Collections:Staff Publications

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