The behavior of permeable multi-cracks in a piezoelectric material |
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Authors: | Zhen-Gong Zhou Biao Wang Mao-Sheng Cao |
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Affiliation: | Center for Composite Materials and Electro-Optics Technology Center, Harbin Institute of Technology, P.O. Box 1247, Harbin 150001, PR China |
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Abstract: | In this paper, the behavior of four parallel symmetric cracks in a piezoelectric material under anti-plane shear loading is studied by the Schmidt method for the permeable crack surface boundary conditions. By use of the Fourier transform, the problem can be solved with the help of two pairs of triple integral equations that the unknown variables are the jumps of the displacement across the crack surfaces. These equations are solved by means of 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. |
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Keywords: | Piezoelectric materials Schmidt method The triple integral equations Parallel cracks |
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