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Investigation on Transient Responses of a Piezoelectric Crack by using Durbin and Zhao Methods for Numerical Inversion of Laplace Transforms

Published online by Cambridge University Press:  07 August 2013

Y.-S. Ing  and
H.-F. Liao
Y.-S. Ing*
Affiliation:
Department of Aerospace Engineering, Tamkang University, Taipei, Taiwan 25137, R.O.C.
H.-F. Liao
Affiliation:
Department of Aerospace Engineering, Tamkang University, Taipei, Taiwan 25137, R.O.C.
*
*ysing@mail.tku.edu.tw
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Abstract

This study applies the numerical inversion of Laplace transform methods to study the piezoelectric dynamic fracture problem, recalculating Chen and Karihaloo's [1] analysis on the transient response of a impermeable crack subjected to anti-plane mechanical and in-plane electric impacts. Three numerical methods were adopted for calculating the dynamic stress intensity factor: Durbin method, Zhao method 1, and Zhao method 2. The results obtained were more accurate than the results in Chen and Karihaloo's [1] study. Through the calculation, this study presents a better range of parameters for the above three methods, and compares the advantages and disadvantages of each method in detail.

Keywords

PiezoelectricCrackTransientInversionLaplace transform
Type
Research Article
Information
Journal of Mechanics , Volume 30 , Issue 1 , February 2014 , pp. 3 - 10
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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References

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