Dynamic inverse plane characteristics of circular holes in a strip-shaped medium under line source excitation

Abstract

Based on the complex variable function method and the wave function expansion method, the dynamic anti-plane characteristics of circular holes in the strip domain under line source excitation were studied. The total wave field in the strip domain is constructed using the concept of infinite mirroring, which eliminates the mutual impact of the wave field under the action of the upper and lower limits of the strip domain. To determine the overall wave field, solve the wave field's unknown coefficients in accordance with the boundary conditions. The right number of mirror images is found using the dynamic stress distribution of a circular hole in the band-shaped domain as a specific calculation example. The effect of altering the incident frequency and band-shaped domain width on the dynamic stress concentration coefficient surrounding the circular hole is also explored. As a consequence of the findings, the dynamic stress concentration coefficient around the circular hole in the zone domain at low frequencies is substantially bigger than it is at medium and high frequencies. Under identical conditions, the dynamic stress concentration coefficient will exhibit periodic extreme values and converge as the distance increases between the lower boundary and the circular hole’s center.

KEYWORDS:

• Strip domain
• circular holes
• line source
• infinite mirroring
• dynamic stress concentration coefficient

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The project was supported by the National Natural Science Foundation of China [Project No.12002198, 12072238 and 12222206].