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Research Papers

Transient Wave Propagation in Multilayered Viscoelastic Media: Theory, Numerical Computation, and Validation

[+] Author and Article Information
Lu Sun

Transportation College, Southeast University, Nanjing, 210096, P.R.C.; Department of Civil Engineering, Catholic University of America, Washington, DC 20064

Feiquan Luo

Department of Civil Engineering, Catholic University of America, Washington, DC 20064

J. Appl. Mech 75(3), 031007 (Apr 08, 2008) (15 pages) doi:10.1115/1.2839906 History: Received January 23, 2007; Revised August 23, 2007; Published April 08, 2008

This paper extends the classical problem of transient wave propagation in multilayered solids to transient wave propagation in multilayered viscoelastic solids. Laplace and Hankel transforms and the transfer-matrix approach are used in the formulation together with the elastic-viscoelastic correspondence principle in linear viscoelasticity. The derived formula provides a theoretical basis to allow effective and efficient numerical algorithms to be developed. MATLAB is used to develop a computer program DYNALAYERT that implements the theory developed. The numerical results are compared with the existing data available in literature and those obtained from finite element analysis using ANSYS . Excellent agreement has been observed from comprehensive comparisons, which verifies the validity of the theory, algorithm, and computer program developed in this study. The conclusion and findings of this study may result in a number of engineering applications, such as nondestructive evaluation of highway and airport pavements, petroleum exploration, countermine technology, geophysical inversion, structural health monitoring, and vehicle weigh-in-motion systems.

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Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

A multilayered solid with a bedrock

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Figure 2

A schematic plot of four viscoelasic models

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Figure 3

Procedures of applying the elastic-viscoelastic corresponding principles

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Figure 4

The ε-algorithm lozenge diagram

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Figure 5

Heaviside step function type of dynamic load used in static analysis

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Figure 6

The finite element model used in ANSYS for static analysis

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Figure 7

Comparison between theoretical and numerical solutions of static loading

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Figure 8

Heaviside step function type of dynamic load used in half-space analysis

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Figure 9

The finite element model used in ANSYS for mimicking an elastic half space

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Figure 10

Comparisons of transient displacement responses of an elastic half space to a two-dimensional Heaviside dynamic load using three different methods

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Figure 11

The finite element model for viscoelastic multilayered solid analysis

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Figure 12

Comparison of a four-layer viscoelastic solid

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