Paper Title:

The Optimization of Propagation Characteristic of Elastic Wave in FGM

Periodical Materials Science Forum (Volumes 492 - 493)
Main Theme Functionally Graded Materials VIII
Edited by Omer Van der Biest, Michael Gasik, Jozef Vleugels
Pages 453-458
DOI 10.4028/
Citation Li Sheng Liu et al., 2005, Materials Science Forum, 492-493, 453
Online since August, 2005
Authors Li Sheng Liu, Qing Jie Zhang, Peng Cheng Zhai
Keywords Optimization, Reflected Coefficient, Stress Wave
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The reflected coefficient of functionally graded layer to waves is very important as the design of impact-resistant FGMs. In the paper, the Optimization problem of propagation characteristic of elastic wave in FGM has been investigated. The relation between the top layer’s stress and displacement and the bottom layer’s is deduced from elastic propagation equation as the incident wave is a plane and harmonic elastic stress wave, then the reflected coefficient of gradient layer is obtained, and the reflected coefficient is selected as object function of optimization. The thickness of each layer is selected as optimization design parameter. The conjugate gradient method is used to get the optimal results about gradient layers’ thickness.

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