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首页> 外文期刊>Journal of the Mechanics and Physics of Solids >Exact solution for finite electrode layers embedded at the interface of two piezoelectric half-planes
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Exact solution for finite electrode layers embedded at the interface of two piezoelectric half-planes

机译:嵌入两个压电半平面界面的有限电极层的精确解

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摘要

The exact solution is obtained for two bonded dissimilar piezoelectric half-planes with discontinuous thin electrode layers embedded at the interface. In contrast with existing models on interfacial insulating cracks or rigid electrode layers, the present model is based on the assumption that tractions and displacements are continuous across the thin electrode layers. As a result, the present model leads to a mixed boundary value problem, rather than a conventional generalized traction or displacement boundary value problem to which the existing models have led. Detailed discussion is given for the case of practical significance in which two piezoelectric half planes are poled in opposite directions perpendicular to the interface. In this case, the electroelastic field exhibits the inverse square-root singularity and an oscillatory singularity does not appear. It is found that the interfacial tractions and the normal electrical displacement vanish along all electrode-free parts of the interface. On the other hand, along the interfaces between piezoelectric half-planes and the embedded electrode layer, the normal traction and the normal electrical displacement exhibit electrode-tip singularity and the sign of the normal traction is determined by the sign of the electric charge of the electrode layer. The implications of these results to reliability of layered piezoelectric devices are discussed.
机译:对于在界面处嵌入不连续薄电极层的两个粘结的不同压电半平面,可以获得精确的解决方案。与现有的关于界面绝缘裂纹或刚性电极层的模型相反,本模型基于以下假设:牵引力和位移在整个薄电极层上是连续的。结果,本模型导致混合边界值问题,而不是现有模型所导致的常规广义牵引或位移边界值问题。对于具有实际意义的情况进行了详细讨论,其中两个压电半平面在垂直于界面的相反方向极化。在这种情况下,电弹性场表现出平方根的反比奇点,而不会出现振荡奇点。发现界面牵引力和法向电位移沿界面的所有无电极部分消失。另一方面,沿着压电半平面和埋入的电极层之间的界面,法向牵引力和法向电位移表现出电极尖端的奇异性,法向牵引力的符号由电极的电荷的符号确定。电极层。讨论了这些结果对层状压电器件可靠性的影响。

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