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A Novel Hybrid Element Analysis for Piezoelectric-parent Material Wedges

机译:压电母体材料楔的新型混合元素分析

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摘要

A new super wedge-tip hybrid element together with standard hybrid finite elements is developed to determine singular electro-elastic fields at the vertex of piezoelectric-parent material wedges. With the technique, stress and electric displacement intensity factors and energy release rates in a PZT5H panel containing a central crack are computed and compared with the available theoretical solutions. It is shown that the numerical results converge to exact solutions rapidly with fewer elements and proper number of high order terms. Then, the fracture parameters named as general stress intensity parameters and general electric displacement intensity parameters for three kinds of bimaterial wedges such as bi-piezoelectric wedge, piezoelectric-conductor wedge and piezoelectric-composite wedge are computed and depicted in graphical forms.
机译:开发了一种新的超级楔形尖端混合单元以及标准的混合有限元,以确定压电母体材料楔形顶点处的奇异电弹性场。利用该技术,计算了包含中心裂纹的PZT5H面板中的应力和电位移强度因子以及能量释放率,并将其与可用的理论解进行了比较。结果表明,数值结果可以用较少的元素和适当数量的高阶项迅速收敛到精确解。然后,计算了三种双材料楔(如双压电楔,压电导体楔和压电复合楔)的断裂参数,称为总应力强度参数和总电位移强度参数,并以图形形式表示。

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