Coupled field state around three parallel non-symmetric cracks in a piezoelectric/piezomagnetic material plane |
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Authors: | Pei-Wei Zhang Zhen-Gong Zhou Lin-Zhi Wu |
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Institution: | (1) Center for Composite Materials and Structures, Harbin Institute of Technology, P.O. Box 3010, No. 2, Yikuang Street, 150080 Harbin, People’s Republic of China |
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Abstract: | In this paper, the behavior of three parallel non-symmetric permeable cracks in a piezoelectric/piezomagnetic material plane
subjected to anti-plane shear stress loading was studied by the Schmidt method. The problem was formulated through Fourier
transform into three pairs of dual integral equations, in which unknown variables are jumps of displacements across the crack
surfaces. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded
as a series of Jacobi polynomials. Finally, the relations among the electric displacement, the magnetic flux and the stress
fields near the crack tips can be obtained. The results show that the stress, the electric displacement and the magnetic flux
intensity factors at the crack tips depend on the lengths and spacing of cracks. It was also revealed that the crack shielding
effect is present in piezoelectric/piezomagnetic materials. |
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Keywords: | Piezoelectric/piezomagnetic materials Non-symmetric cracks Crack shielding effect Couple field state Crack jump |
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