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Dynamic stress concentration in a piezoelectric material with a non-circular hole subjected to an SH-wave. (English. Russian original) Zbl 1451.74098

J. Appl. Mech. Tech. Phys. 61, No. 4, 661-668 (2020); translation from Prikl. Mekh. Tekh. Fiz. 61, No. 4, 184-192 (2020).
Summary: 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 are aligned 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.

MSC:

74H35 Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics
74F15 Electromagnetic effects in solid mechanics
74S70 Complex-variable methods applied to problems in solid mechanics
74J10 Bulk waves in solid mechanics
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