Investigation of the Dynamic Behavior of Two Collinear Anti-Plane Shear Cracks in a Piezoelectric Layer Bonded to Two Half Spaces by a New Method

ZHOU Zhen-gong; WANG Biao

Volume 24 Issue 1

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ZHOU Zhen-gong, WANG Biao. Investigation of the Dynamic Behavior of Two Collinear Anti-Plane Shear Cracks in a Piezoelectric Layer Bonded to Two Half Spaces by a New Method[J]. Applied Mathematics and Mechanics, 2003, 24(1): 1-11.

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Investigation of the Dynamic Behavior of Two Collinear Anti-Plane Shear Cracks in a Piezoelectric Layer Bonded to Two Half Spaces by a New Method

Center for Composite Materials and Electro-Optics Research Center, Harbin Institute of Technology, Harbin 150001, China

Received Date: 2001-07-19
Rev Recd Date: 2002-07-20
Publish Date: 2003-01-15

Abstract

Abstract

The dynamic behavior of two collinear anti-plane shear cracks in a piezoelcetric layer bonded to two half spaces subjected to the harmonic waves is investigated by a new method. The cracks are parallel to the interfaces in the mid-plane of the piezoelectric layer. By using the Fourier transform, the problem can be solved with two pairs of triple integral equations. These equations are solved by using Schmidt's method. This process is quite different from that adopted previously. Numerical examples are provided to show the effect of the geometry of cracks, the frequency of the incident wave, the thichness of the piezoelectric layer and the constants of the material upon the dynamic stress intensity factor of cracks.
- Schmidt method,
- triple integral equations,
- piezoelectric materials,
- dynamic stress intensity factor, cracks,

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References

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