Abstract
The problem of propagation of nonstationary elastic waves in a three-dimensional infinite matrix containing a thin rigid moving inclusion of given mass is solved by the method of boundary integral equations in a time domain. The mechanical contact between the inclusion and the medium is regarded as perfect. We propose a step-by-step algorithm of quantization of the deduced equations taking into account the character of singularity of the required functions on the contour of the inclusion. In the case of normal incidence of nonstationary elastic waves with different profiles upon a circular disk-shaped inclusion, we determine the time dependences of the translational displacements of the inclusion and the mode I stress intensity factors.
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 41, No. 2, pp. 7–15, March–April, 2005.
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Mykhas'kiv, V.V., Kalynyak, O.I. Nonstationary Perturbations of a Three-Dimensional Elastic Matrix Containing a Rigid Disc-Shaped Inclusion. Mater Sci 41, 139–149 (2005). https://doi.org/10.1007/s11003-005-0144-4
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DOI: https://doi.org/10.1007/s11003-005-0144-4