Diffraction of harmonic flexural waves in a cracked elastic plate carrying electrical current
Diffraction of harmonic flexural waves in a cracked elastic plate carrying electrical current
复制标题
承载电流的裂纹弹性板中谐波弯曲波的衍射
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
Z. Qin
中科院分区：
文献类型：
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作者：
D. Ambur;D. Hasanyan;L. Librescu;Z. Qin
研究了载流弹性板中贯穿裂纹对简谐弯曲波的散射效应。在这种情况下，Kirchhoffean弯曲板理论扩展到包括磁弹性相互作用。施加一个入射波，引起关于裂纹纵向x轴对称的弯矩。傅立叶变换将问题转化为对偶积分方程，然后将对偶积分方程转化为两个奇异积分方程组。对任意频率的入射波和任意电流强度下的弯矩强度因子进行了有效的数值计算。弯矩强度因子的渐近行为进行了分析和参数研究。
The scattering effect of harmonic flexural waves at a through crack in an elastic plate carrying electrical current is investigated. In this context, the Kirchhoffean bending plate theory is extended as to include magnetoelastic interactions. An incident wave giving rise to bending moments symmetric about the longitudinal x-axis of the crack is applied. Fourier transform technique reduces the problem to dual integral equations, which are then cast to a system of two singular integral equations. Efficient numerical computation is implemented to get the bending moment intensity factor for arbitrary frequency of the incident wave and of arbitrary electrical current intensity. The asymptotic behaviour of the bending moment intensity factor is analysed and parametric studies are conducted.