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Journal of Mathematical Sciences

, Volume 76, Issue 3, pp 2391–2396 | Cite as

Differaction of a pulsed longitudinal shear wave in an orthrotropic massif with a cavita

  • L. A. Nestorova
  • V. I. Storozhev
Article
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Abstract

We propose a method for numerical-analytic solution of a boundary-value problem for diffraction of a longitudinal shear wave in the form of a triangular pulse on a cylindrical tunnel cavity of circular crosssection in an unbounded rectilinearly orthotropic massif. The basis of the proposed approach consits of methods of spectral decomposition of periodically continued pulses with the introduction of small correcting perturbations of the elastic constants of the massif. The characteristics of the stress-strain state in the basic stationary problems are expressed in the terms of the generalized wave potentials which become the classical potentials of longitudinal and transverse waves for an isotropic medium.

We study the influence of te space-time structure of the pulse on the concentration of the contour dynamical stresses under different phases of mutual potision of the leading edge of the pulse and the contour of the section of the cavity in a massif of isotropic and anisotropic basalt.

Keywords

Shear Wave Generalize Wave Elastic Constant Stationary Problem Dynamical Stress 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature Cited

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    L. A. Nesterova and V. I. Storozhev, “Correcting perturbations for the elastic constants for modification of the operator of the equation of elastic vibrations of an anisotropic medium”, Preprint, Donetsk, UkrNIINTI No. 1904-Uk89 (1989).Google Scholar
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    K. Ya. Galeev, L. A. Nesterova, and V. I. Storozhev, “Diffraction of pulse shear waves at a tunnel cavity of curvilinear section in an anisotropic massif,Teoret. i. Prikl. Mekh., No. 20, 70–76 (1989).Google Scholar
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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • L. A. Nestorova
  • V. I. Storozhev

There are no affiliations available

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