Boundary Integral Analysis of the Symmetric Dynamic Problem for an Infinite Bimaterial Solid with an Embedded Crack |
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Authors: | VV Mykhas'kiv OI Stepanyuk |
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Institution: | (1) Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova Str., Lviv, 79053, Ukraine;(2) Lviv State Academy of Veterinary Medicine, 50 Pekars'ka Str., Lviv, 79010, Ukraine |
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Abstract: | The symmetric frequency domain problem for two ideally bonded elastic half-spaces with a perpendicular plane crack is considered. It is reduced to the boundary integral equation (BIE) with integration over the limited crack region. The contact conditions on the bimaterial interface are satisfied identically in the initial stage of obtaining the equation. After boundary element solution of the equation, the stress concentration in the vicinity of a penny-shaped crack under time-harmonic loading of constant amplitude is studied. The mode I stress intensity factors as functions of angular coordinate of a crack front point and wave number for various relations between the material parameters are computed. The crack depth relative to the bimaterial interface is determined, when the effect of the material dissimilarity on the crack can be neglected. |
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Keywords: | Boundary element method Symmetric frequency domain 3– D bimaterial solid Penny-shaped crack Dynamic process Time harmonic loading |
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