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

Chien-Ching Ma1,2, Yi-Hsien Lin2, Shih-Hao Lin2

Corresponding author. Tel.: +886-2-23659996; fax:+ 886-2-23631755. E-mail address: ccma@ntu.edu.tw (C. C. Ma)
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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APA Style
Ma, C., Lin, Y., Lin, S. (2012). Transient wave propagation in a functionally graded slab and multilayered medium subjected to dynamic loadings. Computers, Materials & Continua, 31(1), 37-64. https://doi.org/10.3970/cmc.2012.031.037
Vancouver Style
Ma C, Lin Y, Lin S. Transient wave propagation in a functionally graded slab and multilayered medium subjected to dynamic loadings. Comput Mater Contin. 2012;31(1):37-64 https://doi.org/10.3970/cmc.2012.031.037
IEEE Style
C. Ma, Y. Lin, and S. Lin "Transient Wave Propagation in a Functionally Graded Slab and Multilayered Medium Subjected to Dynamic Loadings," Comput. Mater. Contin., vol. 31, no. 1, pp. 37-64. 2012. https://doi.org/10.3970/cmc.2012.031.037



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