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Basic solutions of a 3D rectangular limited-permeable crack or two 3D rectangular limited-permeable cracks in the piezoelectric/piezomagnetic composite materials
Authors:Zhen-Gong Zhou  Pei-Wei Zhang  Lin-Zhi Wu
Institution:1. Center for Composite Materials and Structures, Harbin Institute of Technology, P.O. Box 3010, No. 2, Yikuang Street, Harbin 150080, PR China;2. Department of Engineering Mechanics, School of Civil Engineering, SouthEast University, Nanjing 210096, PR China
Abstract:The solutions of a three-dimensional rectangular limited-permeable crack or two three-dimensional rectangular limited-permeable cracks in the piezoelectric/piezomagnetic composite materials were investigated by using the generalized Almansi’s theorem and the Schmidt method. Finally, the relations among the electric field, the magnetic flux field and the stress field near the crack tips were obtained and the effects of the electric permittivity, the magnetic permeability of the air inside the crack, the shape of the rectangular crack on the stress, the electric displacement and magnetic flux intensity factors in the piezoelectric/piezomagnetic composite materials were analyzed.
Keywords:Piezoelectric/piezomagnetic composite materials  Rectangular limited-permeable crack  Mechanics of solids
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