Conclusions
The authors suggest physical equations for the relation between the stresses and deformation strains (1.8).
They test the resulting relations (1.8) using experimental data for various rocks. The experimental results agree with the analysis (Figs. 1–3).
For a horizontal working, using physical relations (1.8) they formulate the plane problem of the theory of creep (of mathematical physics). Their scheme of calculation is governed by technological requirements: A constant or time-dependent active pressure which models the operation of yielding supports acts on the periphery of the working; the boundary conditions also vary with time, simulating the influence of extraction operations.
The authors derive equations for the optimum support parameters, the convergence of the working (3.12), and the reaction of the supports (3.12).
They test these results under pit conditions. The theoretical data agree with the results (Fig. 5).
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Institute of Physics and Mechanics of Rocks, Academy of Sciences of the Kirgiz SSR, Frunze. Translated from Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, No. 3, pp. 7–14, May–June, 1976.
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Aitmatov, I.T., Beknazarov, T.S. A method of calculating the optimum support parameters for development workings. Soviet Mining Science 12, 238–244 (1976). https://doi.org/10.1007/BF02594865
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DOI: https://doi.org/10.1007/BF02594865