| SCATTERING OF HARMONIC ANTI-PLANE SHEAR STRESS WAVES BY A CRACK IN FUNCTIONALLY GRADED PIEZOELECTRIC/PIEZOMAGNETIC MATERIALS |
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| 作者姓名： | Liang Jun |
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| 作者单位： | P.O.Box 1247，Center for Composite Materials，Harbin Institute of Technology，Harbin 150001，China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Nos.90405016 and 10572044)，the Special Research Fund for the Doctoral Program of Higher Education (No.2004021334) |
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| 摘 要： | In this paper, the dynamic behavior of a permeable crack in functionally graded piezoelectric/piezomagnetic materials is investigated. To make the analysis tractable, it is assumed that the material properties vary exponentially with the coordinate parallel to the crack. By using the Fourier transform, the problem can be solved with the help of a pair of dual integral equations in which the unknown is the jump of displacements across the crack surfaces. These equations are solved to obtain the relations between the electric filed, the magnetic flux field and the dynamic stress field near the crack tips using the Schmidt method. Numerical examples are provided to show the effect of the functionally graded parameter and the circular frequency of the incident waves upon the stress, the electric displacement and the magnetic flux intensity factors of the crack.
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| 关 键 词： | 功能梯度材料 压电/压磁材料 裂纹 反平面剪切应力波 |
| 收稿时间： | 2005-11-08 |
| 修稿时间： | 2007-03-20 |
SCATTERING OF HARMONIC ANTI-PLANE SHEAR STRESS WAVES BY A CRACK IN FUNCTIONALLY GRADED PIEZOELECTRIC/PIEZOMAGNETIC MATERIALS |
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| Liang Jun.SCATTERING OF HARMONIC ANTI-PLANE SHEAR STRESS WAVES BY A CRACK IN FUNCTIONALLY GRADED PIEZOELECTRIC/PIEZOMAGNETIC MATERIALS[J].Acta Mechanica Solida Sinica,2007,20(1):75-86. |
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| Authors: | Liang Jun |
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| Institution: | 1. Jaypee Institute of Information Technology, Noida 201307, India;2. Institute for Systems Studies and Analyses, Defence Research and Development Organization, Delhi 110054, India;1. Department of applied mechanics, University of Science and Technology Beijing, Beijing 100083, China;2. State Key Laboratory of Nonlinear Mechanics (LNM), Chinese Academy of Science, Beijing, Beijing 100080, China |
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| Abstract: | In this paper, the dynamic behavior of a permeable crack in functionally graded piezoelectric/piezomagnetic materials is investigated. To make the analysis tractable, it is assumed that the material properties vary exponentially with the coordinate parallel to the crack. By using the Fourier transform, the problem can be solved with the help of a pair of dual integral equations in which the unknown is the jump of displacements across the crack surfaces. These equations are solved to obtain the relations between the electric filed, the magnetic flux field and the dynamic stress field near the crack tips using the Schmidt method. Numerical examples are provided to show the effect of the functionally graded parameter and the circular frequency of the incident waves upon the stress, the electric displacement and the magnetic flux intensity factors of the crack. |
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| Keywords: | functionally graded piezoelectric/piezomagnetic materials crack stress wave |
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