The method of dynamic stresses determination of media with tunnel cavities https://doi.org/10.33108/visnyk_tntu2018.02.019
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Abstract
The method of studying the dynamic stress state of elastic media with tunnel cavities under the non-stationary load as the system of concentrated forces, which are applied in the internal points of media, is developed. On the basis of the application of the Fourier transformation of time variable and the modification of
the method of boundary integral equations for the case of the first exterior problem, the integral equations are written. The integral equations kernels are of the Cauchy type. In the paper for determination of hoop and radial stresses the analytic representations have been constructed. Applying the proposed in the paper method high
accuracy of calculations in the study of transient processes is provided. On the basis of the proposed method the dynamic stress state of elastic media with tunnel cavities of different cross-sections under the impulse concentrated load is investigated.
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