About this Journal Submit a Manuscript Table of Contents
International Journal of Differential Equations
Volume 2012 (2012), Article ID 806078, 21 pages
http://dx.doi.org/10.1155/2012/806078
Research Article

Controlled Roof Collapse during Secondary Mining in Coal Mines

School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa

Received 26 December 2011; Accepted 10 April 2012

Academic Editor: Jean Charpin

Copyright © 2012 Ashleigh Hutchinson. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. N. van der Merwe, “Fundamental analysis of the interaction between overburden behaviour and snook stability in coal mines,” Journal of the South African Institute of Mining and Metallurgy, vol. 105, pp. 63–73, 2005.
  2. C. Please, D. P. Mason, C. M. Khalique, J. M. T. Ngnotchouye, J. N. van der Merwe, and H. Yilmaz, “Coal mine pillar extraction,” Submitted to International Journal of Rock Mechanics and Mining Sciences.
  3. N. van der Merwe, “Private communication,” 2012.
  4. C. Kimball and T.-W. Tsai, “Modeling of exural beams subjected to arbitrary end loads,” Journal of Mechanical Design, vol. 124, pp. 223–235, 2002.
  5. B. H. G. Brady and E. T. Brown, Rock Mechanics for Underground Mining, Chapman & Hall, London, UK, 2nd edition, 1993.
  6. L. Obert and W. L. Duvall, Rock Mechanics and the Design of Structures in Rock, Wiley & Sons, New York, NY, USA, 1967.
  7. E. P. Popov, Mechanics of Materials, Prentice Hall International, Englewood Cliffs, NJ, USA, 1978.
  8. J. C. Jaeger and N. G. W. Cook, Fundamentals of Rock Mechanics, Methuen, London, UK, 1969.
  9. J. C. Jaegar, N. G. W. Cook, and R. W. Zimmerman, Fundamentals of Rock Mechanics, Blackwell, Oxford, UK, 4th edition, 2007.
  10. L. A. Segal and G. H. Handelman, Mathematics Applied to Continuum Mechanics, Macmillan, New York, NY, USA, 1977. View at Zentralblatt MATH
  11. J. N. van der Merwe and B. J. Madden, in Rock Engineering for Underground Coal Mining, Special Publications, Series 8, p. 135, Southern African Institute of Mining and Metallurgy, Johannesburg, South Africa, 2nd edition, 2011.
  12. J. N. van der Merwe and B. J. Madden, in Rock Engineering for Underground Coal Mining, Special Publications, Series 8, pp. 208–218, Southern African Institute of Mining and Metallurgy, Johannesburg, South Africa, 2nd edition, 2011.