Open Access

ARTICLE

Transient Wave Propagation in a Functionally Graded Slab and Multilayered Medium Subjected to Dynamic Loadings

Chien-Ching Ma^1,2, Yi-Hsien Lin², Shih-Hao Lin²

1 Corresponding author. Tel.: +886-2-23659996; fax:+ 886-2-23631755. E-mail address: ccma@ntu.edu.tw (C. C. Ma)
2 Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.

Computers, Materials & Continua 2012, 31(1), 37-64. https://doi.org/10.3970/cmc.2012.031.037

Abstract

In this article, the transient response in a functionally graded material (FGM) slab is analyzed by Laplace transform technique. The numerical Laplace inversion (Durbin's formula) is used to calculate the dynamic behavior of the FGM slab. The slab is subjected an uniform loading at the upper surface, and the lower surface are assumed to be traction-free or fixed conditions. The analytical solutions are presented in the transform domain and the numerical Laplace inversion is performed to obtain the transient response in time domain. To take the accuracy and computational efficiency in consideration, Durbin's method is suitable for calculating the long-time response. In addition, the FGM slab is approximated as a multilayered medium with homogeneous material in each layer, and the transient responses of FGM formulation and multilayered solution are discussed in detail.

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Keywords

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