Abstract
The problem of the stress concentration on a free tunnel-shaped cavity in an orthotropic half-space with a free flat boundary, on which shear waves in the form of periodic triangular pulses are incident, is solved. The initial problem is reduced to a series of problems of diffraction of harmonic shear waves. The effect of the degree of shear anisotropy on the tangential-stress concentration at the boundary of a cavity with a circular cross section is studied for different positions of the leading edge of the pulse relative to the boundary of the half-space and the cavity.
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References
K. Ya. Galeev, L. A. Nesterova, and V. I. Storozhev, "Diffraction of pulsed shear waves by a tunnel-shaped cavity with a curvilinear cross section in an anisotropic mass" in: Theoretical and Applied Mechanics [in Russian], No. 20, Donetsk (1989), pp. 106–111.
A. S. Kosmodamianskii and V. I. Storozhev, Dynamic Problems in the Theory of Elasticity for Anisotropic Media [in Russian], Kiev (1985).
Additional information
Donetsk. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 21, pp. 62–66, 1990.
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Nesterova, L.A. Diffraction of a pulsed longitudinal shear wave by a cylindrical cavity in an anisotropic half-space. J Math Sci 68, 676–679 (1994). https://doi.org/10.1007/BF01249402
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DOI: https://doi.org/10.1007/BF01249402