Dynamic Stress Concentration in a Piezoelectric Material with a Non-Circular Hole Subjected to an SH-Wave
X. L. Wang, X. J. Yang, R. Zhang
College of Civil Engineering and Transportation, Jilin, 132013, China
Keywords: пьезоэлектрический материал, некруговая полость, концентрация динамических напряжений, горизонтально поляризованная волна, комплексная переменная, конформное отображение, piezoelectric material, non-circular hole, dynamic stress concentration, SH-wave, complex variable, conformal mapping
Abstract
In this paper, the influence of the dynamic stress concentration in a piezoelectric material with a non-circular hole subjected to a shear wave polarized so that its particle motion and direction of propagation contained in a horizontal plane (SH-wave) is investigated. The boundary conditions of the non-circular hole can be mapped into a unit circle by applying complex variables and conformal mapping. The analytical solution of the dynamic stress concentration factor is determined by the unknown mode coefficients obtained by using the boundary conditions. Numerical examples are presented to analyze the influence of the incident wave number, piezoelectric constant of the material, and eccentricity ratio of the hole on the distribution of the dynamic stress concentration factor. The analysis reveals that the distribution of the dynamic stress concentration factor on the incident direction of the SH-wave is significantly different from that on the other side.
|
