We have considered the three-dimensional problem of harmonic loading of a circular crack in an elastic composite consisting of two dissimilar half-spaces under sliding contact on the surface of their bonding. The defect is situated in one of the half-spaces perpendicularly to the interface of materials. Using the representations of solutions in the form of Helmholtz potentials, we have reduced the problem to a boundary integral equation for the function of dynamic defect opening. Based on the numerical solution of this equation, we have obtained the frequency dependences of mode I stress intensity factor near the crack for different relations between the elastic moduli of components of the composite and the depths of crack location with respect to the interface.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 53, No. 1, pp. 80–87, January–March, 2010.
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Mykhas’kiv, V.V., Stankevych, V.Z., Glushkov, E.V. et al. Dynamic stresses in a compound body with circular crack under sliding contact on an interface. J Math Sci 176, 590–599 (2011). https://doi.org/10.1007/s10958-011-0424-5
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DOI: https://doi.org/10.1007/s10958-011-0424-5