Basic solution of four parallel non-symmetric permeable Mode-III cracks in a piezoelectric/piezomagnetic composite plane |
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| Authors: | Zhen-Gong Zhou Pei-Wei Zhang Guo-Qiang Li |
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| Affiliation: | 1. Center for Composite Materials and Structures , Harbin Institute of Technology , P.O. Box 3010, 2 Yikuang Street, Harbin 150080, P.R. China zhouzhg@hit.edu.cn;3. Center for Composite Materials and Structures , Harbin Institute of Technology , P.O. Box 3010, 2 Yikuang Street, Harbin 150080, P.R. China;4. Department of Mechanical Engineering , Louisiana State University , Baton Rouge, LA 70803, USA |
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| Abstract: | The interaction of four parallel non-symmetric permeable cracks in a piezoelectric/piezomagnetic composite plane subjected to anti-plane shear stress loading was studied by the Schmidt method. The problem was formulated through a Fourier transform into four 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 relationships among the electric displacement, magnetic flux and stress fields near the crack tips were 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 composites. |
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| Keywords: | piezoelectric/piezomagnetic composite non-symmetric cracks crack shielding effect mechanics of solids |
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