Stress Concentration Near an Elliptic Crack in the Interface Between Elastic Bodies under Steady-State Vibrations |
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| Authors: | Mikhas'kiv V. V. Sladek J. Sladek V. Stepanyuk A. I. |
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| Affiliation: | (1) Ya. S. Podstrigach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lvov;(2) Institute of Construction and Architecture, Slovak Academy of Sciences, Bratislava, Slovakia |
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| Abstract: | The paper addresses the three-dimensional problem on steady-state vibrations of an elastic body consisting of two perfectly joined dissimilar half-spaces with an elliptic mode I crack located in one of the half-spaces normally to the interface. The problem is reduced to a boundary integral equation for the crack opening function. The integration domain of the equation is bounded by the crack domain, and the interaction between the crack and the interface is described by a regular kernel. The equation is solved using the mapping method. Numerical results are obtained for the case where the surfaces of the elliptic crack are subjected to harmonic loading with constant amplitude. The dependences of the stress intensity factors on the wave number are presented for various relationships among the mechanical constants that ensure the absence of near-surface waves |
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| Keywords: | three-dimensional problem steady-state vibrations elastic body mode I elliptic crack interface regular kernel near-surface waves wave number |
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