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

On the possibility of reducing the solution of the doubly connected problem of mutual influence of two mine workings to a singly connected 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 maintaining mine workings there are often cases of their mutual influence. Especially significant is the impact of extraction operations on the stress state in the vicinity of development openings. The solutions of these problems are complicated and cumbersome, and therefore they are mainly available for cases of mutual influence of openings of the same shape. Only some solutions for different shapes are known. However, these solutions due to the complexity of the final formulas have not become widely used to determine the stresses in the vicinity of openings. It is necessary to create simpler calculation methods.

Область исследования:
(Archived) Without section
Funding:

None

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References

  1. Borisov A. A. Calculation of mining pressure in face faces of hollow strata. Gosgortekhizdat, 1964. (in Russian)
  2. Dinnik A. N., Morgayevskiy A. B., Savin G. N. Distribution of stresses around underground workings. Tr. soveshchaniya po upravleniyu gornym davleniem. AN SSSR, 1938. (in Russian)
  3. Kosmodamiansky A. S. About the stressed state of elastic isotope massif, in which the workings of circular cross-section are passed. Tr. VNIMI, vol. XLII, 1961. (in Russian)
  4. Kosmodamiansky A. S. Stretching of an isotope plate with two unequal curvilinear holes.Sb. "Nekotorye zadachi teorii uprugosti o kontsentratsii napryazhenii, ravnovesii i kolebaniyakh uprugikh tel". Izd. Saratovsk. un-ta, 1964. (in Russian)
  5. Liberman Yu. M. To the question about the bearing pressure ahead of the face. Sb. "Fiziko-mekhanicheskie svoistva, davlenie i razrushenie gornykh porod". Pt. 1, AN SSSR, 1962. (in Russian)
  6. Matvienko V. V. Application of elasticity theory methods to the study of mutual influence of two mine workings. Nauchnye soobshcheniya in-ta gornogo dela AN SSSR, 1961, No. 11. (in Russian)
  7. Muskhelishvili N. I. Some Basic Problems of Mathematical Theory of Elasticity. Nauka, 1966. (in Russian)
  8. Calculation of protected zones. Methodical instructions. VNIMI, 1969. (in Russian)
  9. Savin G. N. Concentration of Stresses Near Holes. Kiev, Naukova Dumka, 1951. (in Russian)
  10. Sherman D. I. About Stresses in a Flat Weighted Medium with Two Equal Symmetrically Located Circular Holes. PMM, vol. 15, iss. 6, 1951. (in Russian)
  11. Sherman D. I. To a question about the stress state of a half-plane with two buried circular holes. Tr. In-ta fiziki Zemli. AN SSSR, vol. 3, 1959. (in Russian)
  12. Sherman D. I. On Stresses in a Weighted Medium Weakened by Elliptical and Circular Holes. Inzhenernyi sbornik, vol. 27, 28, AN SSSR, 1960. (in Russian)

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