We consider a symmetric problem of harmonic wave loading of an infinite elastic matrix with a oneperiodic array of penny-shaped compliant inclusions. By using the periodic Green function, we reduce this problem to a boundary integral equation for a function characterizing a jump of displacements on one representative inclusion. The Green function used to describe the interaction of inclusions is adapted for the efficient determination of its representation in the form of exponentially convergent Fourier integrals. To solve the boundary integral equation, we use the method of collocations. The numerical results are obtained and analyzed for the mode I dynamic stress intensity factor in the vicinity of points of the contour of an inclusion depending on the wave number and the distance between the inclusions.
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 56, No. 4, pp. 128–132, July–August, 2020.
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Zhbadynskyi, I.Y., Butrak, І.О. Dynamic Stresses in the Elastic Matrix with One-Periodic Array of Compliant Penny-Shaped Inclusions. Mater Sci 56, 577–582 (2021). https://doi.org/10.1007/s11003-021-00466-w
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DOI: https://doi.org/10.1007/s11003-021-00466-w