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Structural Engineering and Mechanics Volume 29, Number 1, May10 2008 , pages 55-75 DOI: https://doi.org/10.12989/sem.2008.29.1.055 |
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Two collinear Mode-I cracks in piezoelectric/piezomagnetic materials |
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Zhen-Gong Zhou, Jia-Zhi Wang and Lin-Zhi Wu
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| Abstract | ||
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In this paper, the behavior of two collinear Mode-I cracks in piezoelectric/piezomagnetic materials subjected to a uniform tension loading was investigated by the generalized Almansi?s theorem. Through the Fourier transform, the problem can be solved with the help of two pairs of triple integral equations, in which the unknown variables were the jumps of displacements across the crack surfaces. To solve the triple integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials to obtain the relations among the electric displacement intensity factors, the magnetic flux intensity factors and the stress intensity factors at the crack tips. The interaction of two collinear cracks was also discussed in the present paper. | ||
| Key Words | ||
| crack; piezoelectric/piezomagnetic materials; Fourier integral transform. | ||
| Address | ||
| Zhen-Gong Zhou, Jia-Zhi Wang and Lin-Zhi Wu: P. O. Box 3010, Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin, 150080, P. R. China | ||