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The shear wave diffraction on tunnel cavities in an elastic layer and a half-layer

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Summary

 The antiplane steady dynamic problem of the theory of elasticity for an isotropic layer and a half-layer weakened by tunnel cavities of arbitrary cross section is investigated. A radiating monochromatic shear wave (SH-wave) is considered as loading. Using the constructed Green's functions for a layer and a half- layer, the corresponding boundary problems are reduced to the Fredholm's integral equations of the second kind. The obtained algorithm is realized numerically by the quadrature method. Results specifying the influence of the openings configuration, their number and relative position, types of edge conditions and inertia effects on tangential stress concentration are given.

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Authors and Affiliations

  1. Sumy State University, Department of Mechanics and Mathematics, 2, Rimsky-Korsakov st., 40007, Sumy, Ukraine, , , , , , UA

    M. L. Filshtinsky

  2. National Technical University of Athens, Department of Engineering Science, Section of Mechanics, 5 Heroes of Polyt. Aven., GR 15773, Athens, Greece Fax: (+301)772 1302 E-mail: mechanic@central.ntua.gr, , , , , , GR

    D. I. Bardzokas

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  1. M. L. Filshtinsky
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  2. D. I. Bardzokas
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Received 13 July 1999; accepted for publication 20 July 2000

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Filshtinsky, M., Bardzokas, D. The shear wave diffraction on tunnel cavities in an elastic layer and a half-layer. Archive of Applied Mechanics 71, 341–352 (2001). https://doi.org/10.1007/s004190000139

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  • DOI: https://doi.org/10.1007/s004190000139

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