Abstract

The electroelasticity problems for piezoceramic bodies with inhomogeneities were examined. The short review of model situations considered in the previous works of the authors, a piezoceramic body with an internal elliptical crack, a piezoceramic body containing an external elliptical crack, a piezoceramic body with a spherical cavity, was carried out. In all these cases, the coupled electroelastic field in the neighborhood of inhomogeneity for the particular case of static loading was investigated. The formulas to calculate the stress intensity factors were analyzed. The dependences of stresses and electric displacement on the shape of the cavity for the cases of electrical loading and the mechanical loading only were examined. The possibility to apply the obtained results to solving of practical problems, not only static but also dynamic nature, was considered.

摘要

研究了具有不均匀性的压电陶瓷体的电弹性问题。对作者之前作品中考虑的模型情况进行了简短回顾，对具有内部椭圆裂纹的压电陶瓷体、包含外部椭圆裂纹的压电陶瓷体、具有球形腔体的压电陶瓷体进行了简短回顾。在所有这些情况下，研究了特定静态载荷情况下不均匀性附近的耦合电弹性场。分析了应力强度因子的计算公式。在电负载和机械负载的情况下，应力和电位移对空腔形状的依赖性进行了检查。将所得结果应用于解决实际问题的可能性，不仅是静态的，而且是动态的，