Dynamic Behavior of Two Collinear Permeable Cracks in a Piezoelectric Layer Bonded to Two Half Spaces

QU Gui-min; ZHOU Zhen-gong; WANG Biao

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(10): 1152-1160

QU Gui-min, ZHOU Zhen-gong, WANG Biao. Dynamic Behavior of Two Collinear Permeable Cracks in a Piezoelectric Layer Bonded to Two Half Spaces[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1152-1160.

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Dynamic Behavior of Two Collinear Permeable Cracks in a Piezoelectric Layer Bonded to Two Half Spaces

P. O. Box 1247, Center for Composite Materials and Electro-Optics Research Center, Harbin Institute of Technology, Harbin 150001, P. R. China

Received Date: 2004-06-18
Rev Recd Date: 2005-05-23
Publish Date: 2005-10-15

Abstract

Abstract

The dynamic behavior of two collinear cracks in a piezoelectric layer bonded to two half spaces under harmonic anti-plane shear waves was investigated by means of Schmidt method. The cracks are vertically to the interfaces of the piezoelectric layer. The boundary conditions of the electrical field were assumed to be the permeable crack surface. By using the Fourier transform, the problem can be solved with the help of two pairs of triple integral equations. Numerical examples were presented to show the effect of the geometry of the interacting cracks, the piezoelectric constants of the materials and the frequency of the incident waves upon the stress intensity factors. The results show that the dynamic field will impede or enhance the propagation of the crack in a piezoelectric material at different stages of the frequency of the incident waves. It is found that the electric displacement intensity fact ors for the permeable crack surface conditions are much smaller than the results for the impermeable crack surface conditions.
- elastic wave,
- piezoelectric material,
- Fourier integral transform,
- Schmidt method,
- crack

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References(17)

References

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