Piezoelectric materials have wide applications due to their special electromechanical coupling characteristics but are vulnerable to sudden failure because of their brittle nature. Researchers have been profoundly interested in investigating the fracture of piezoelectric materials under different applied conditions. In the present work, tri-layer plates with interface cracks in piezoelectric materials have been analyzed using XFEM. Impermeable static cracks at the interfaces of PZT-5H and PZT-4 have been investigated under mechanical and electromechanical loading conditions. Numerical results show that the ɛ (oscillating) singularity vanishes and $$\kappa$$ class singularity exists for the current combination of materials. Enrichment functions for $$\kappa$$ class are applied to obtain the stress and electric fields near the crack tip. An interaction integral approach is used to evaluate fracture parameters. An effect on stress and electric displacement intensity factors due to variation in mechanical and electric loading has also been investigated.

中文翻译：

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压电材料三层界面裂纹的扩展有限元数值模拟

压电材料由于其特殊的机电耦合特性而具有广泛的应用，但由于其脆性，容易发生突然失效。研究人员对研究压电材料在不同应用条件下的断裂有着浓厚的兴趣。在目前的工作中，使用 XFEM 分析了压电材料中具有界面裂纹的三层板。在机械和机电负载条件下研究了 PZT-5H 和 PZT-4 界面处的不可渗透静态裂纹。数值结果表明，当前材料组合的 ɛ（振荡）奇点消失，$$\kappa$$ 类奇点存在。应用 $$\kappa$$ 类的富集函数来获得裂纹尖端附近的应力和电场。相互作用积分方法用于评估断裂参数。还研究了由于机械和电载荷的变化对应力和电位移强度因子的影响。