Investigation of the shock waves impact on the dynamic stress state of medium with the system of tunnel cavities https://doi.org/10.33108/visnyk_tntu2017.03.007

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Vol. 87 No. 3 (2017)
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Published: 21-11-2017
DOI: https://doi.org/10.33108/visnyk_tntu2017.03.007
Keywords:
non-stationary problem, tunnel cavity

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Olena Mikulich
Lutsk National Technical University, Lutsk, Ukraine
Vasyl’ Shvabjuk
Lutsk National Technical University, Lutsk, Ukraine

Abstract

The method to study distribution of dynamic stresses in elastic bodies with tunnel cavities according to integrated and discrete Fourier transform over time has been developed in the paper. In the field of Fourier transforms application of the boundary integral equation method and the complex variable theory made it possible to develop an efficient algorithm for determining dynamic stress state of bodies with cavities for almost arbitrary cross-section. Basing on the proposed method the numerical calculations of dynamic stresses concentration at the boundary of tunnel cavities of circular and elliptical cross-section have been performed and temporal distributions of dynamic stresses under impact loads have been built. The effect of reflected waves on the dynamic stress state of tunnel cavities has been studied.

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Vol. 87 No. 3 (2017)

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