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The scattering of the SH wave on a limited permeable crack in a functionally graded piezoelectric substrate bonded to a homogeneous piezoelectric strip

机译:SH波在粘结到均质压电条的功能梯度压电基板中有限的可渗透裂缝上的散射

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摘要

The scattering problem of the SH wave on a limited permeable crack in a functionally graded piezoelectric substrate bonded to a homogeneous piezoelectric strip is investigated. We adopted the limited permeable crack surface boundary condition. By using the Fourier cosine transform, this mixed boundary value problem is reduced to two pairs of dual integral equations, which are solved numerically by the Copson method. Numerical results showed the effects of gradient parameter, electric loading, electric boundary conditions, incident angle, thickness of PM strip, the distance from the crack to the interface, and wave number on the dynamic stress intensity factor.
机译:研究了SH波在粘结到均质压电条的功能梯度压电基板中有限的可渗透裂缝上的散射问题。我们采用了有限的渗透裂缝表面边界条件。通过使用傅里叶余弦变换,该混合边值问题被简化为两对对偶积分方程,并通过Copson方法对其进行了数值求解。数值结果表明,梯度参数,电载荷,电边界条件,入射角,永磁带厚度,裂纹到界面的距离以及波数对动应力强度因子的影响。

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