Mathematical Modeling of the Dynamic Interaction of Slim Piezoceramic Inclusion with Elastic Matrix at Axisymmetric Torsion

R. M. Andriychuk, Y. Kunets’
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Abstract

The mathematical models of dynamic interaction between a slim plane piezoceramic inclusion and elastic isotropic medium at axisymmetric torsion of a composite are constructed. Perfect mechanical contact between components of a composite and zero electric potential or zero electric induction are given at the boundary of inclusion. The modeling is carried out using the approach of the singular perturbation theory.
薄型压电陶瓷包体与弹性矩阵轴对称扭转动态相互作用的数学建模
建立了复合材料轴对称扭转作用下薄平面压电陶瓷夹杂物与弹性各向同性介质相互作用的数学模型。在包合物的边界处,复合材料各组分之间的机械接触是完美的,电势为零或电磁感应为零。采用奇异摄动理论的方法进行建模。
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