The Behavior of Two Parallel Symmetric Permeable Cracks in Piezoelectric Materials

ZHOU Zhen-gong; WANG Biao

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(12): 1211-1219

ZHOU Zhen-gong, WANG Biao. The Behavior of Two Parallel Symmetric Permeable Cracks in Piezoelectric Materials[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1211-1219.

Citation:

ZHOU Zhen-gong, WANG Biao. The Behavior of Two Parallel Symmetric Permeable Cracks in Piezoelectric Materials[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1211-1219.

Citation:

ZHOU Zhen-gong, WANG Biao. The Behavior of Two Parallel Symmetric Permeable Cracks in Piezoelectric Materials[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1211-1219.

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The Behavior of Two Parallel Symmetric Permeable Cracks in Piezoelectric Materials

P O Box 2147, Center for Composite Materials and Electro-Optics Research Center, Harbin Institute of Technology, Harbin 150001, P R China

Received Date: 2001-07-19
Rev Recd Date: 2001-04-26
Publish Date: 2002-12-15

Abstract

Abstract

The behavior of two parallel symmetric cracks in piezoelectric materials under anti-plane shear loading was studied by the Schmidt method for the permeable crack face conditions. By using the Fourier transform, the problem can be solved with two pairs of dual integral equations in which the unknown variable is the jump of the diplacement across the crack surfaces. These equations were solved using the Schmidt method. The results show that the stress and the electric displacement intensity factors of cracks depend on the geometry of the crack. Contrary to the impermeable crack surface condition solution, it is found that the electric displacement intensity factors for the permeable crack surface conditions are much smaller than the results for the impermeable crack surface conditions.
- piezoelectric material,
- parallel crack,
- Schmidt method,
- dual-integral equation,
- stress and electric displacement

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References(34)

References

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