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首页> 外文期刊>International Journal of Solids and Structures >A moving interface crack between two dissimilar functionally graded piezoelectric layers under electromechanical loading
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A moving interface crack between two dissimilar functionally graded piezoelectric layers under electromechanical loading

机译：机电载荷作用下两个不同功能梯度压电层之间的运动界面裂纹

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摘要

The dynamic propagation of an interface crack between two dissimilar functionally graded piezoelectric material (FGPM) layers under anti-plane shear is analyzed using the integral transform method. The properties of the FGPM layers vary continuously along the thickness. The properties of the FGPM layers vary differently and the two layers are connected weak-discontinuously. A constant velocity Yoffe-type moving crack is considered. Fourier transform is used to reduce the problem to two sets of dual integral equations, which are then expressed to the Fredholm integral equations of the second kind. Numerical values on the dynamic energy release rate (DERR) are presented for the FGPM to show the effects on the electric loading, gradient of material properties, crack moving velocity, and thickness of layers. Followings are helpful to increase of the resistance of the interface crack propagation of FGPM: (a) certain direction and magnitude of the electric loading; (b) increase of the gradient of material properties; (c) increase of the material properties from the interface to the upper and lower free surface; (d) increase of the thickness of FGPM layer. The DERR increases or decreases with increase of the crack moving velocity.
机译：使用积分变换方法分析了两个不同功能梯度压电材料（FGPM）层之间在反平面剪切作用下界面裂纹的动态传播。 FGPM层的特性沿厚度连续变化。 FGPM层的属性会有所不同，并且这两层之间的连接不牢固且不连续。考虑恒速Yoffe型运动裂纹。使用傅里叶变换将问题简化为两组对偶积分方程，然后将其表达为第二类Fredholm积分方程。给出了FGPM的动态能量释放速率（DERR）的数值，以显示对电负载，材料特性梯度，裂纹移动速度和层厚度的影响。以下是有助于增加FGPM界面裂纹扩展阻力的方法：（a）一定方向和大小的电负载; （b）增加材料特性的梯度; （c）从界面到上，下自由表面的材料性能增加; （d）增加FGPM层的厚度。 DERR随着裂纹移动速度的增加而增加或减少。

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