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<p>The stress-strain state of a&#xa0;two-layer composite containing a&#xa0;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 equation method, with the wave-field solutions represented through Helmholtz potentials. A&#xa0;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.</p>

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

  • 期刊论文

  • 发表日期：

    2026年7月21日

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  • V. Z. Stankevych,
  • O. M. Stankevych,
  • M. O. Babyak

摘要

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 equation 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.