Abstract

In this paper we present analytical solutions for the cantilever beam bending problems obtained in the non-classical electroelasticity theory with strain and electric field gradient effects. We show that considered model allows to provide the refined analysis for the electric field distribution around the supproted end of the cantilever taking into account the extended number of boundary conditions, which cannot be captured in classical models.

中文翻译：

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梯度电弹性理论中压电微悬臂梁的精细分析

摘要

在本文中，我们针对具有应变和电场梯度效应的非经典电弹性理论中获得的悬臂梁弯曲问题提供了解析解。我们表明，考虑到扩展的边界条件数量，考虑的模型可以为悬臂悬空端周围的电场分布提供精确的分析，而经典模型无法捕获这些边界条件。