Time-harmonic vibrations of a two-layer composite with a crack

Keywords

two-layer composite, time-harmonic vibrations, penny-shaped mode III crack, boundary integral equations method.

Cite as

Stankevych V. Z., Stankevych O. M., and Babyak M. O. Time-harmonic vibrations of a two-layered composite with a crack. Physicochemical Mechanics of Materials. 2025. 61(6), 77-83.

https://doi.org/10.15407/pcmm2025.06.077

Abstract

The stress-strain state of a two-layer composite containing a penny-shaped crack under the influence of SH-waves generated by time-harmonic torsional loads is investigated. The problem is solved using the boundary integral equations method, with the wave field solutions represented through Helmholtz potentials. A system of boundary integral equations is derived to determine the unknown functions of tangential displacement along the crack surfaces. The frequency-dependent behavior of dynamic stress intensity factors near the defect contour is analyzed with respect to the mechanical properties and geometric parameters of the composite layers.

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