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A Method for the Analysis of Transient Motion of a Kelvin-Voigt Half-Space

Published online by Cambridge University Press:  05 May 2011

Chau-Shioung Yeh ,
Wen-I Liao ,
Tsung-Jen Teng  and
Wen-Shinn Shuy
Chau-Shioung Yeh*
Affiliation:
Dept. of Civil Engineering, Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
Wen-I Liao*
Affiliation:
Dept. of Civil and Environmental Engineering, National Kaohsiung University, Kaohsiung, Taiwan 820, R.O.C.
Tsung-Jen Teng*
Affiliation:
National Center for Research on Earthquake Engineering, Taipei, Taiwan 106, R.O.C.
Wen-Shinn Shuy*
Affiliation:
Department of Civil Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
* Professor
** Assistant Professor
*** Research Fellow
**** Formerly graduate student
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Abstract

In this paper, a modified version of method of steepest descent combining with Durbin's method is proposed to study the transient motion in either an elastic or a viscoelastic half-space. The causal condition is satisfied based on the Durbin's method while the wavenumber integral for any range of frequency is evaluated by applying the modified method of steepest descent. The validity and accuracy of the proposed method is tested by studying the transient response generated by a buried dilatational line source in an elastic half-space, for which the exact solution (Garvin's solution) can be obtained. Then the same formalism is extended to Kelvin-Voigt half-space, and the transient surface motions in elastic or viscoelastic half-spaces media are studied and discussed in details.

Keywords

Kelvin-Voigt half-spaceTransient motion.
Type
Articles
Information
Journal of Mechanics , Volume 19 , Issue 1 , March 2003 , pp. 247 - 256
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2003

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References

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