Stress Analysis of Non-persistent Rock Joints under Biaxial Loading
Authors: Omer S. Mughieda
Abstract:
Two-dimensional finite element model was created in this work to investigate the stresses distribution within rock-like samples with offset open non-persistent joints under biaxial loading. The results of this study have explained the fracture mechanisms observed in tests on rock-like material with open non-persistent offset joints [1]. Finite element code SAP2000 was used to study the stresses distribution within the specimens. Four-nodded isoperimetric plain strain element with two degree of freedom per node, and the three-nodded constant strain triangular element with two degree of freedom per node were used in the present study.The results of the present study explained the formation of wing cracks at the tip of the joints for low confining stress as well as the formation of wing cracks at the middle of the joint for the higher confining stress. High shear stresses found in the numerical study at the tip of the joints explained the formation of secondary cracks at the tip of the joints in the experimental study. The study results coincide with the experimental observations which showed that for bridge inclination of 0o, the coalescence occurred due to shear failure and for bridge inclination of 90o the coalescence occurred due to tensile failure while for the other bridge inclinations coalescence occurred due to mixed tensile and shear failure.
Keywords: Finite element, open offset rock joint, SAP2000, biaxial loading.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1329563
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2147References:
[1] Mughieda, O. S. and Karasneh, I (2006) Coalescence of offset rock joints under biaxial loading, Geotechnical and Geological Engineering, Vol. 24, No.4.
[2] Einstein, H. H., Veneziano, D., Baecher, G. B. and O-Reilly, K. J. (1983) The effect of discontinuity persistence on rock stability, International Journal of Rock Mechanics and Mining Sciences, Geomechanical Abstracts, 20, 227-237.
[3] Deng, Q. and Zhang, P. (1984) Research on the geometry of shear fracture zones, Journal of Geophysical Research, 89, 5669-5710.
[4] Kulatilake, P. H., Park, J., and Malama, B. (2006) A new rock mass failure criterion for biaxial loading conditions. Geotechnical and Geological Engineering. Vol. 24: 871-888.
[5] Hoek, E. and Bieniawski, Z. T. (1984) Brittle fracture propagation in rock under compresion, International Journal of Fracture, 26, 276-294.
[6] Brace, W. and Byerlee, J. (1967) Recent experimental studies of brittle fracture rocks, failure and breakage of rock, AIME, 57-81.
[7] Lajtai, E. (1974) Brittle fracture in compression, International Journal of Fracture, 10(4), 525-339 536.
[8] Horii, H. and Nemat-Nasser, S. (1986) Brittle failure in compresion: splitting, faulting and brittle-ductile transition, Philsophical Transaction of the Royal Society of London, (1549), 337-374.
[9] Poll ard, D. D. and Aydin, A. (1988) Progress in understanding jointing over the past century, Geological Society of America Bulletin, 100. 2
[10] Reyes, O. and Einstein, H. H. (1990) Stochastic and centrifuge modeling of jointed rock, Part I-Fracturing of jointed rock, Final Report submitted to the Air Force Office of Scientific Research and Air Force Engineering Services Center, U.S.A.
[11] Germanovich, L. N, Ring, L. M, Carter, B. J, Ingraffea A. R, Dyskin A. V and Ustinov, K. B. (1995) Simulation of crack growth and interaction in compression. Proceedings of the 8th Int. Congs. on rock mechanics, Vol. 1, ISRM, Tokyo.
[12] Shen, B., Stephanson, O., Einstein, H. H. and Ghahreman, B. (1995) Coalescence of fractures under shear stresses in experiments, Journal of Geophysical Research, 100(B4), 5975-5990.
[13] Bobet, A. and Einstein, H. H. (1998) Fracture coalescence in rock-type materials under uniaxial and biaxial compression, International Journal of Rock Mechanics and Mining Sciences, 35(7), 863-888.
[14] Mughieda, O. S. (1997) Failure mechanisms and strength of nonpersistent rock joints, Ph.D. Thesis, University of Illinois at Urbana-Champaign, IL, U.S.A.
[15] Mughieda, O., Alzo-ubi, A., 2004. Fracture mechanisms of offset rock joints- A laboratory investigations. Geotechnical and Geological Engineering Journal, Vol.22, 545-562, 2004.
[16] Wilson, E. L., and Habibullah, A. (1989). SAP90 users manual, Computers and Structures Inc