| 压电压磁复合材料中裂纹对反平面简谐弹性波的散射问题 |
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| 引用本文： | 李琳,周振功,吴林志.压电压磁复合材料中裂纹对反平面简谐弹性波的散射问题[J].应用力学学报,2006,23(1):101-104. |
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| 作者姓名： | 李琳 周振功 吴林志 |
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| 作者单位： | 哈尔滨工业大学,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金;黑龙江省杰出青年科学基金;国家高技术研究发展计划(863计划);国家杰出青年科学基金 |
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| 摘 要： | 分析了压电压磁复合材料中裂纹对反平面简谐弹性波的散射问题。利用傅立叶变换,使问题的求解转换为对一对以裂纹表面上的位移差为未知变量的对偶积分方程的求解。为了求解对偶积分方程,把裂纹面上的位移差展开为雅可比多项式形式,进而得到了裂纹长度、入射波波速及入射波频率对裂纹应力强度因子的影响。从数值结果可以看出,压电压磁复合材料中可导通裂纹的反平面问题的动应力奇异性与一般弹性材料中的反平面断裂问题动应力奇异性相同。
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| 关 键 词： | 压电压磁复合材料 裂纹 对偶积分方程 弹性波散射 |
| 文章编号： | 1000-4939（2006）01-0100-04 |
| 收稿时间： | 2004-11-22 |
| 修稿时间： | 2004-11-222005-05-18 |
Scattering of the Harmonic Elastic Anti-Plane Waves from Crack in Piezoelectric/Piezomagnetic Materials |
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| Li Lin,Zhou Zhengong,Wu Linzhi.Scattering of the Harmonic Elastic Anti-Plane Waves from Crack in Piezoelectric/Piezomagnetic Materials[J].Chinese Journal of Applied Mechanics,2006,23(1):101-104. |
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| Authors: | Li Lin Zhou Zhengong Wu Linzhi |
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| Abstract: | The dynamic behaviors of a crack in piezoelectric/piezomagnetic materials under harmonic elastic anti-plane exitation are investigated.With Fourier transform,the problem is evolved as dual integral equations where the unknown variable is taken as the jump of the displacements across the cract surface.To solve the dual integral equations,the jump is expanded in a series of Jacobi polynomials.The numerical examples are provided to show the effects of the crack length,wave velocity and the circular frequency of the incident wave on the stress intensity factors.It is revealed that the same order stress singularity in piezoelectric/piezomagnetic materials arises as a general elastic crack under anti-plane shearing. |
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| Keywords: | piezoelectric/piezomagnetic materials crack dual integral equations elastic waves |
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