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Dynamic Stresses Due to Time-Harmonic Elastic Wave Incidence on Doubly Periodic Array of Penny-Shaped Cracks

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The symmetric frequency-domain problem of the interaction effects in rectangular lattice system of coplanar penny-shaped cracks located in an infinite elastic solid is numerically investigated. The problem is reduced to a boundary integral equation for the crack-opening-displacement in a unit cell by means of 3D periodic elastodynamic Green’s function. This function is adopted for the effective calculation by its representation in the form of exponentially convergent Fourier integrals. A collocation method is used for the solution of the boundary integral equation. Numerical results for the mode-I dynamic stress intensity factor in the crack vicinities are obtained and analyzed depending on the wave number and the lattice size.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    V. V. Mykhas’kiv & I. Ya. Zhbadynskyi

  2. Department of Civil Engineering, University of Siegen, Siegen, Germany

    Ch. Zhang

Authors
  1. V. V. Mykhas’kiv
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  2. I. Ya. Zhbadynskyi
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  3. Ch. Zhang
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Published in Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 56, No. 2, pp. 94–101, April–June, 2013.

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Mykhas’kiv, V.V., Zhbadynskyi, I.Y. & Zhang, C. Dynamic Stresses Due to Time-Harmonic Elastic Wave Incidence on Doubly Periodic Array of Penny-Shaped Cracks. J Math Sci 203, 114–122 (2014). https://doi.org/10.1007/s10958-014-2094-6

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  • DOI: https://doi.org/10.1007/s10958-014-2094-6

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