A frequency-domain BIEM combining DBIEs and TBIEs for 3-D crack-inclusion interaction analysis |
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Authors: | VV Mykhas’kiv IO Butrak OM Khay TI Kilnytska Ch Zhang |
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Affiliation: | 1. Fidesys LLC, Moscow, Russia;2. Lomonosov Moscow State University, Moscow, Russia;3. University of Texas at Arlington, Arlington, TX, USA |
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Abstract: | The influence of a spherical elastic inclusion on a penny-shaped crack embedded in an infinite elastic matrix subjected to a time-harmonic crack-face or incident wave loading is investigated. A boundary integral equation method (BIEM) combining displacement boundary integral equations (DBIEs) on the matrix-inclusion interface and traction boundary integral equations (TBIEs) on the crack-surface is developed and applied for the numerical solution of the corresponding 3-D elastodynamic problem in the frequency domain. The singularity subtraction and mapping techniques in conjunction with a collocation scheme are implemented for the regularization and the discretization of the BIEs by taking into account the local structure of the solution at the crack-front. As numerical examples, the interaction of an elastic inclusion and a neighboring penny-shaped crack subjected to a tensile crack-surface loading or an incident plane longitudinal wave loading is investigated. The effects of the inclusion are assessed by the analysis of mixed-mode dynamic stress intensity factors (DSIFs) in dependence on the wave number, the material combination of the matrix and the inclusion, and the crack-inclusion orientation, size and distance. |
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