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11 July 2002Modeling of electrode-ceramic interaction in a multilayered ferroelectric actuator
Introduction of electrode termination between neighboring ceramic layers in multilayer stack actuators leads to incompatible deformation between the active and inactive parts of ceramic layers and results in highly concentrated electric and stress fields at an electrode tip, which promote the nucleation and propagation of cracks around an electrode tip as revealed in previous experiments. To understand the mechanism of cracking around an embedded electrode tip, the singular electroelastic field at an embedded electrode tip in a multilayer ferroelectric actuator is studied using the extended Leknitskii's formalism together with the analytic continuation technique. It is found that both mode-I and mode-II stress intensity factors vanish at an electrode tip and consequently the singular near-tip electric and stress fields can be uniquely characterized by an electric field intensity factor. Furthermore, the effect of polarization switching on near- tip electroelastic field is also estimated in this study with the aid of a fundamental solution for a semi-infinite electrode at the interface of two-bonded half-planes interacting with transformation strains and polarization. Due to domain switching, the magnitude of near-tip field can be increased or decreased by as much as seventy percent depending on the angle between an applied electric field and the poling direction of ceramic layers. The elevated stress field developed at an electrode-ceramic due to an applied electric field can lead to interfacial debonding and segmentation cracking.
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Xianwei Zeng, R. K. Nimal D. Rajapakse, "Modeling of electrode-ceramic interaction in a multilayered ferroelectric actuator," Proc. SPIE 4699, Smart Structures and Materials 2002: Active Materials: Behavior and Mechanics, (11 July 2002); https://doi.org/10.1117/12.474961