Three-Dimensional Joint/Interface Element for Rough Undulating Major Discontinuities in Rock Masses
Publication: International Journal of Geomechanics
Volume 8, Issue 6
Abstract
Major civil engineering structures are being constructed now a days in complex geological environment with faults, shear zones, and other major discontinuities. These major discontinuities can cause a variety of problems in both surface and underground constructions. Unfavorably dipping major discontinuities may create unstable conditions in underground openings and contribute to the deformations of a rock mass under external static loading. Hence, rock–structure interaction analysis should simulate arbitrarily oriented rough and undulating major discontinuities within the rock mass, as well as the undulating interface along the structure and the rock mass such as dam foundations and underground excavations intersected by fault/shear zones. Realistic simulation of the mechanical behavior of rock joints is a prerequisite for successful numerical modeling of discontinuous rocks. When joint modeling is designed to include different degrees of joint roughness, dilation, and aperture, then realistic response depends upon the appropriate constitutive models and the way these parameters interact with stress change. Due to low values of the normal and tangential module, a unique characteristic of a rock discontinuity is that dilation may occur as soon as relative slip takes place and this may significantly alter the stress distribution, particularly around an underground excavation. In view of these practical requirements, a generalized formulation of a three-dimensional joint/interface element has been proposed here to account for dilatancy, roughness, and undulating surface of discontinuities.
Get full access to this article
View all available purchase options and get full access to this article.
References
Barton, N., Bandis, S., and Bakhtar, K. (1985). “Strength, deformation and conductivity coupling of rock joints.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 22(3), 121–140.
Beer, G. (1985). “An iso-parametric joint/interface element for finite element analysis.” Int. J. Numer. Methods Eng., 21, 585–600.
Bouzid, D. A., Tiliouine, B., and Vermeer, P. A. (2004). “Exact formulation of interface stiffness matrix for axi-symmetric bodies under non-axi-symmetric loading.” Comput. Geotech., 31(2), 75–87.
Buragohain, D. N., and Shah, V. L. (1978). “Curved iso-parametric interface surface element.” ASCE J. Struct. Div., 104, 205–209.
Desai, C. S., and Ma, Y. (1992). “Modeling of joints and interfaces using the disturbed-state concept.” Int. J. Numer. Analyt. Meth. Geomech., 16(9), 623–653.
Desai, C. S., Zaman, M. M., Lightner, J. G., and Siriwardane, H. J. (1984). “Thin layer element for interfaces and joints.” Int. J. Numer. Analyt. Meth. Geomech., 8, 19–43.
Ghaboussi, J., Wilson, E. L., and Isenberg, J. (1973). “Finite element for rock joints and interfaces.” J. Soil Mech. and Found. Div., 99, 833–848.
Goodman, R. E., Taylor, R., and Brekke, T. L. (1968). “A model for the mechanics of jointed rock.” J. Soil Mech. and Found. Div., 94, 637–659.
Hermann, L. R. (1978). “Finite element analysis of contact problems.” J. Engrg. Mech. Div., 104, 1043–1057.
Pfisterer, E., Wittke, W., and Rissler, P. (1974). “Investigations, calculations and measurements for the underground powerhouse WEHR.” 3rd Int. Congress on Advances in Rock Mecanics, ISRM Symp., National Academy of Sciences, Washington, D.C., 1308–1317.
Plesha, M. E. (1987). “Constitutive models for rock discontinuities with dilatancy and surface degradation.” Int. J. Numer. Analyt. Meth. Geomech., 11, 345–362.
Roberds, W. J., and Einstein, H. M. (1978). “Comprehensive model for rock discontinuities.” J. Geotech. Engrg. Div., 104(5), 553–569.
Samadhiya, N. K. (1998). “Influence of anisotropy and shear zones on stability of caverns.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Roorkee, Roorkee, India.
Schafer, H. (1975). “A contribution to the solution of contact problems with the aid of bond elements.” Comput. Methods Appl. Mech. Eng., 6, 335–354.
Sharma, K. G., and Desai, C. S. (1992). “Analysis and implementation of thin-layer element for interfaces and joints.” J. Eng. Mech., 118(12), 2442–2462.
Singh, B., and Goel, R. K. (1982). “Estimation of elastic modulus of jointed rock masses from field wave velocity.” R-S Mittal commenmorative volume on engineering geoscience, B. B. S. Singhal and S. Prakasham, eds., 156–172.
Viladkar, M. N., Godbole, P. N., and Noorzaei, J. (1994). “Modelling of interface for soil-structure interaction studies.” Comput. Struct., 52(4), 765–779.
Xiurun, Ge (1981). “Non-linear analysis of a joint element and its application in rock engineering.” Int. J. Numer. Analyt. Meth. Geomech., 5, 229–245.
Zienkiewicz, O. C., Best, B., Dullage, C., and Stagg, K. G. (1970). “Analysis of nonlinear problems with particular reference to jointed rock systems.” Proc., 2nd Int. Congress ISRM.
Information & Authors
Information
Published In
Copyright
© 2008 ASCE.
History
Received: Mar 17, 2006
Accepted: Apr 15, 2008
Published online: Nov 1, 2008
Published in print: Nov 2008
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.