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Transient response of dissimilar piezoelectric layers with multiple interacting interface cracks

机译:具有多个相互作用的界面裂纹的不同压电层的瞬态响应

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In this study, we examine the dynamic behavior of two bonded dissimilar piezoelectric layers containing multiple interfacial cracks subjected to electro-mechanical impact loading. The problem was formulated through Fourier transformation into singular integral equations in which the unknown variables are the jumps of displacement and electric potential across the crack surface in the Laplace transform domain. The resulting integral equations together with the corresponding single-valued conditions are solved numerically for the densities of electro-elastic dislocations on a crack surface. The dynamic field intensity factors and dynamic energy release rate (DERR) history are obtained for both permeable and impermeable crack. The stress field is also obtained for the interface crack under impact loads. The results show that the field intensity factors at the crack tips and dynamic energy release rate depend on the interfacial crack geometry, electromechanical coupling and the electric boundary conditions on the crack surface.
机译:在这项研究中,我们研究了包含多个界面裂纹的两个粘合的异种压电层在受到机电冲击载荷作用下的动力学行为。该问题通过傅立叶变换公式化为奇异积分方程,其中未知变量是拉普拉斯变换域中裂纹表面上的位移和电势的跃变。对于裂纹表面上的电弹性位错的密度,对所得的积分方程以及相应的单值条件进行了数值求解。获得了渗透性和非渗透性裂纹的动态场强因子和动态能量释放率(DERR)历史。在冲击载荷下,还获得了界面裂纹的应力场。结果表明,裂纹尖端处的场强因子和动态能量释放率取决于界面裂纹的几何形状,机电耦合以及裂纹表面的电边界条件。

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