Dynamic Computational Analysis of Openings in Jointed Rock
Publication: Journal of Geotechnical Engineering
Volume 109, Issue 12
Abstract
Procedures for the transient analysis of openings in jointed rock are developed and applied to several problems. The rock masses are modeled by rigid blocks with edge‐to‐edge interaction at joints and are coupled to sur rounding finite elements for transmission of waves to the opening. Studies of the dynamic response of caverns show that failing blocks slide intermittently and displace the most when shear wave lengths are about twice the cavern height.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Barton, N. R., “A Model Study of Rock‐Joint Deformation,” International Journal of Rock Mechanics and Mining Science, Vol. 9, 1972, pp. 579–602.
2.
Barton, N. R., and Hansteen, H., “Very Large Span Openings at Shallow Depth: Deformation Magnitudes from Jointed Models and F. E. Analysis,” Internal Report 54205‐6, Norwegian Geotechnical Institute, Norway, May, 1979, p. 23.
3.
Belytschko, T., Plesha, M., and Dowding, C. H., “A Computer Method for Stability Analysis of Jointed Rock Masses,” Proceedings of the International Con ference on Constitutive Laws for Engineering Materials, C. S. Desai and R. H. Gallagher, eds., Tucson, Ariz., Jan., 1983, pp. 333–341.
4.
Brigham, E. O., The Fast Fourier Transform, Prentice‐Hall, Inc., Englewood Cliffs, N.J., 1974, p. 252.
5.
Brown, E. T., and Hoek, E., “Trends in Relationships Between Measured In Situ Stresses and Depth,” International Journal of Rock Mechanics and Mining Science, Vol. 15, No. 4, 1978, pp. 211–215.
6.
Burman, B., “A Numerical Approach to the Mechanics of Discontinua,” thesis presented to James Cook University of North Queensland, at Townsville, Australia, in 1971, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
7.
Cundall, P., “Rational Design of Tunnel Supports,” University of Minnesota, Interim Report DACW 45‐74‐C‐0066, TR MRD‐22‐74, 1974, p. 190.
8.
Dowding, C. H., Belytschko, T. B., and Yen, H. J., “A Coupled Finite Element‐Rigid Block Method for Transient Analysis of Caverns,” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 7, pp. 117–127, Jan., 1983.
9.
Goodman, R. E., Methods of Geological Engineering in Discontinuous Rocks, West Publishing Company, St. Paul, Minn., 1976, p. 472.
10.
Lysmer, J., and Kuhlemeyer, R. L., “Finite Dynamic Model for Infinite Me dia,” Journal of the Engineering Mechanics Division, ASCE, Vol. 95, No. EM4, Aug., 1969, pp. 859–877.
11.
Newmark, N. M., “Effects of Earthquakes on Dams and Embankments,” Fifth Rankine Lecture, Geotechnique, Vol. 15, No. 2, 1965.
12.
McGarr, A., Green, W. E., and Spottiswoode, S. M., “Strong Ground Motion of Mine Tremors: Some Implications for Near‐Source Ground Motion Parameters,” Bulletin of the Seismological Society of America, Vol. 71, No. 1, 1981, pp. 295–319.
13.
Voegle, M. D., “Rational Design of Tunnel Supports: An Interactive Graph ics Based Analysis of the Support Requirements of Excavations in Jointed Rock Masses,” Technical Report GL‐79‐15, prepared for the Office of the Chief of Engineers, U.S. Army, Washington, D.C., 1979, 525 pp.
14.
Wilkins, M. L., “Calculation of Elastic‐Plastic Flow,” Report UCRL‐7322, Revision 1, Lawrence Radiation Laboratory, Univ. of California, Livermore, Calif., 1969, p. 97.
15.
Wittke, W., “Static Analysis for Underground Openings in Jointed Rock,” Numerical Methods in Geotechnical Engineering, C. S. Desai and J. T. Christian, eds., McGraw‐Hill Book Co., New York, N.Y., 1977, pp. 589–638.
16.
Yen, H. J., “Rigid Block Model for Transient Analysis of Rock Structures,” thesis presented to Northwestern University, at Evanston, Ill., in 1982, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Information & Authors
Information
Published In
Copyright
Copyright © 1983 ASCE.
History
Published online: Dec 1, 1983
Published in print: Dec 1983
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.