压电压磁复合材料中界面裂纹对弹性波的散射

周振功; 王彪

压电压磁复合材料中界面裂纹对弹性波的散射

周振功,
王彪

哈尔滨工业大学复合材料研究所,哈尔滨 150001

基金项目: 国家自然科学基金资助项目(50232030;10172030);黑龙江省自然科研基金资助项目(A0301)

详细信息

作者简介:
周振功(1963- ),河南镇平县人,教授,博士,博导(联系人.Tel:+86-451-86402396;Fax:+86-451-86418251;E-mail:zhouzhg@hit.edu.cn).

中图分类号: O346.58
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出版历程
- 收稿日期: 2003-10-30
- 修回日期: 2004-09-08
- 刊出日期: 2005-01-15

Scattering of Harmonic Anti-Plane Shear Waves by an Interface Crack in Magneto-Electro-Elastic Composites

Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, P. R. China

摘要

摘要: 利用Schmidt方法分析了压电压磁复合材料中可导通界面裂纹对反平面简谐波的散射问题．经过富里叶变换得到了以裂纹面上的间断位移为未知变量的对偶积分方程A·D2在求解对偶积分方程的过程中，裂纹面上的间断位移被展开成雅可比多项式的形式．数值模拟分析了裂纹长度、波速和入射波频率对应力强度因子、电位移强度因子、磁通量强度因子的影响A·D2从结果中可以看出，压电压磁复合材料中可导通界面裂纹的反平面问题的应力奇异性形式与一般弹性材料中的反平面问题应力奇异性形式相同．
- 界面裂纹 /
- 弹性波 /
- 压电压磁复合材料 /
- 对偶积分方程
Abstract: The dynamic behavior of an interface crack in magneto-electro-elastic composites under harmonic elastic anti-plane shear waves is investigated for the permeable electric boundary conditions.By using the Fourier transform,the problem can be solved with a pair of dual integral equations in which the unknown variable was the jump of the displacements across the crack surfaces.To solve the dual integral equations,the jump of the displacements across the crack surface was expanded in a series of Jacobi polynomials.Numerical examples were provided to show the effect of the length of the crack,the wave velocity and the circular frequency of the incident wave on the stress,the electric displacement and the magnetic flux intensity factors of the crack.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 anti-plane shear problem.
- interface crack /
- elastic wave /
- magneto-electro-elastic composite /
- dual integral equation

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参考文献(17)

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压电压磁复合材料中界面裂纹对弹性波的散射

作者简介:
周振功(1963- ),河南镇平县人,教授,博士,博导(联系人.Tel:+86-451-86402396;Fax:+86-451-86418251;E-mail:zhouzhg@hit.edu.cn).

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Scattering of Harmonic Anti-Plane Shear Waves by an Interface Crack in Magneto-Electro-Elastic Composites

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压电压磁复合材料中界面裂纹对弹性波的散射

作者简介: 周振功(1963- ),河南镇平县人,教授,博士,博导(联系人.Tel:+86-451-86402396;Fax:+86-451-86418251;E-mail:zhouzhg@hit.edu.cn).

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出版历程

Scattering of Harmonic Anti-Plane Shear Waves by an Interface Crack in Magneto-Electro-Elastic Composites

计量

出版历程

目录

作者简介:
周振功(1963- ),河南镇平县人,教授,博士,博导(联系人.Tel:+86-451-86402396;Fax:+86-451-86418251;E-mail:zhouzhg@hit.edu.cn).