| DYNAMIC BEHAVIOR OF TWO PARALLEL SYMMETRY CRACKS IN MAGNETO-ELECTRO-ELASTIC COMPOSITES UNDER HARMONIC ANTI-PLANE WAVES |
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| 作者姓名： | 周振功 王彪 |
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| 作者单位： | Center for Composite Materials Harbin Institute of Technology，Harbin 150001，P. R. China，School of Physics and Engineering，Sun Yat-Sen University，Guangzhou 510275，P. R. China |
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| 基金项目： | 中国科学院资助项目;国家自然科学基金 |
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| 摘 要： | The dynamic behavior of two parallel symmetry cracks in magneto-electro-elastic composites under harmonic anti-plane shear waves is studied by Schmidt method. By using the Fourier transform, the problem can be solved with a pair of dual integral equations in which the unknown variable is the jumps of the displacements across the crack surfaces. To solve the dual integral equations, the jumps of the displacements across the crack surface were expanded in a series of Jacobi polynomials. The relations among the electric filed, the magnetic flux and the stress field were obtained. From the results, it can be obtained that the singular stresses in piezoelectric/piezomagnetic materials carry the same forms as those in a general elastic material for the dynamic anti-plane shear fracture problem. The shielding effect of two parallel cracks was also discussed.
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| 关 键 词： | 裂缝 谐波 双重积分方程 亮度因数 磁电弹性复合材料 |
| 收稿时间： | 2004-07-31 |
| 修稿时间： | 2006-01-10 |
Dynamic behavior of two parallel symmetry cracks in magneto-electro-elastic composites under harmonic anti-plane waves |
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| Professor Zhen-gong Zhou Doctor,Biao Wang.DYNAMIC BEHAVIOR OF TWO PARALLEL SYMMETRY CRACKS IN MAGNETO-ELECTRO-ELASTIC COMPOSITES UNDER HARMONIC ANTI-PLANE WAVES[J].Applied Mathematics and Mechanics(English Edition),2006,27(5):583-591. |
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| Authors: | Professor Zhen-gong Zhou Doctor Biao Wang |
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| Institution: | 1. Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, P. R. China
2. School of Physics and Engineering, Sun Yat-Sen University, Guangzhou 510275, P. R. China |
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| Abstract: | The dynamic behavior of two parallel symmetry cracks in magneto-electro-elastic composites under harmonic anti-plane shear waves is studied by Schmidt method. By using the Fourier transform, the problem can be solved with a pair of dual integral equations in which the unknown variable is the jumps of the displacements across the crack surfaces. To solve the dual integral equations, the jumps of the displacements across the crack surface were expanded in a series of Jacobi polynomials. The relations among the electric filed, the magnetic flux and the stress field were obtained. From the results, it can be obtained that the singular stresses in piezoelectric/piezomagnetic materials carry the same forms as those in a general elastic material for the dynamic anti-plane shear fracture problem. The shielding effect of two parallel cracks was also discussed. |
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| Keywords: | magneto-electro-elastic composites crack harmonic waves dual integral equations intensity factor |
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