### INTERACTION BETWEEN THE IMMEDIATE SUPPORT AND THE ROCK MASSIF CLOSE TO RECTILINEAR BOUNDARIES OF THE HALF-PLANE

Pages 68 - 72

In the article, the authors analyze the stress-strain state of structural contours of subterranean structures located at different distances from the boundary of the half-plane. The authors provide a numerical solution through the employment of the method of boundary equations. The problem represents reinforced holes exposed to uniform internal pressure and tensile stress in the direction that is parallel to the boundary of the half-plane. If the pre-set load applied to a particular section of the half-space is taken into account, the reciprocal theorem is used to derive Somigliana's identity for a reinforced hole located in the semi-infinite domain. This equation identifies the component of displacement in a point within the ring, within the elastic half-space or the ground line. Contours of simulation models, conditions of compatibility and equilibrium alongside the contact boundary are discrete, and the system of algebraic equations is derived on their basis. Results of numerical experiments substantiate the accuracy and convergence of the proposed algorithm.

DOI: 10.22227/1997-0935.2012.6.68 - 72

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