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Research Papers

Elastodynamic Inversion of Multilayered Media via Surface Waves—Part I: Methodologies

[+] Author and Article Information
Lu Sun

Department of Civil Engineering, Catholic University of America, 620 Michigan Avenue Northeast, Washington, DC 20064; Transportation College, Southeast University, Nanjing 210096, Chinasunl@cua.edu

Feiquan Luo, Wenjun Gu

Department of Civil Engineering, Catholic University of America, 620 Michigan Avenue Northeast, Washington, DC 20064

J. Appl. Mech 78(4), 041004 (Apr 13, 2011) (6 pages) doi:10.1115/1.4003282 History: Received October 06, 2009; Revised May 20, 2010; Posted December 20, 2010; Published April 13, 2011; Online April 13, 2011

A rigorous theoretical foundation for solving elastodynamic inverse problem of multilayered media under an impulse load is established in this paper. The inversion is built upon the forward dynamic analysis of multilayered elastic media using transfer matrix approach, with which displacement continuity is assumed at the interfaces of upper and lower adjacent layers. Formulations for inverse analysis are derived in both the time domain and the complex frequency domain. Least square estimates and nonlinear optimization algorithms are used to implement parameter identification. The proposed theory and formulae can be utilized to develop a computer software for nondestructive evaluation of laminated civil and aerospace structure (highway and airport pavements, bridge decks, soil foundations, aircraft wing, etc.), exploration and dynamic source detection and identification, and petroleum exploration in geophysics.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

A multilayered medium

Grahic Jump Location
Figure 2

Inversions in the time domain and the frequency domain

Grahic Jump Location
Figure 3

Flow chart of inversion

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