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Vol 61 Iss. 1
Pages:
76-83
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RUS
Article

About the possibility of reducing the solution of a two-link problem of mutual influence of two mine workings to a one-link one

Authors:
A. G. Protosenya
Date submitted:
1971-07-19
Date accepted:
1971-09-17
Date published:
1972-05-26

Abstract

In the practice of maintenance of mine workings there are often cases of their mutual influence. Especially significant impact on the stress state in the vicinity of the preparatory workings. The solutions of these problems are complicated and cumbersome, therefore they are mainly performed for cases of mutual influence of excavations of the same shape. Only some solutions for different shapes are known. However, these solutions due to the complexity of the finite formulas have not been widely used to determine the stresses in the vicinity of the excavations. It is necessary to create simpler methods of calculation.

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References

  1. Borisov A.A. Calculation of mining pressure in face faces of hollow strata. Gosgortekhizdat, 1964.
  2. Dinnik A.N., Morgaevskiy A.B., Savin G.N. Distribution of stresses around underground workings. Proceedings of the Meeting on Mountain Pressure Management. AS USSR, 1938.
  3. Kosmodamiansky A.S. About the stressed state of elastic isotope massif, in which the workings of circular cross-section are passed. Proceedings of VNIMI. vol. XLII, 1961.
  4. Kosmodamiansky A.S. Stretching of an isotope plate with two unequal curvilinear holes. In the collection: Some Problems of the Theory of Elasticity on the Concentration of Stresses, Equilibrium and Vibrations of Elastic Bodies. PH of Saratov University, 1964.
  5. Liberman Yu.M. To the question about the bearing pressure ahead of the face. In the collection: Physical and mechanical properties, pressure and destruction of rocks. Pt. 1, AS USSR, 1962.
  6. Matvienko V.V. Application of elasticity theory methods to the study of mutual influence of two mine workings. Scientific Messages of the Institute of Mining Engineering, USSR Academy of Sciences, 1961, No.11.
  7. Muskhelishvili N.I. Some Basic Problems of Mathematical Theory of Elasticity. Nauka, 1966.
  8. Calculation of protected zones. Methodical instructions. VNIMI, 1969.
  9. Savin G.N. Concentration of Stresses Near Holes. Kiev, Naukova Dumka, 1951.
  10. Sherman D.I. About Stresses in a Flat Weighted Medium with Two Equal Symmetrically Located Circular Holes. PMM, vol. 15, issue 6, 1951.
  11. Sherman D.I. To a question about the stress state of a half-plane with two buried circular holes. Proc. Institute of Physics of the Earth. AS USSR, vol. 3, 1959.
  12. Sherman D.I. On Stresses in a Weighted Medium Weakened by Elliptical and Circular Holes. Engineering Proceedings, vol. 27, 28, AS USSR, 1960.

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