Extensions of Discontinuous Deformation Analysis for jointed rock masses

International Journal of Rock Mechanics and Mining Sciences and Geomechanics

Volumn 33, Issue 7, 1996, Pages 671-694

  Lin, Chihsen T ^a   Amadei, Bernard ^a   Jung, Joseph ^b   Dwyer, Jerry ^a  

^a University of Colorado at Boulder   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DEFORMATION; EXCAVATION; FRACTURE MECHANICS; MATHEMATICAL MODELS; SHEAR STRENGTH; SLOPE STABILITY; STRESS ANALYSIS; STRESSES; TENSILE STRENGTH;

BLOCK FRACTURING; DISCONTINUOUS DEFORMATION ANALYSIS METHOD; MOHR-COULOMB CRITERION; SHEAR FRACTURING; TENSILE FRACTURING;

ROCK MECHANICS;

DISCONTINUOUS DEFORMATION ANALYSIS; JOINTED ROCK; ROCK BLOCK ANALYSIS; ROCK MASS RESPONSE; ROCK MECHANICS;

EID: 0030267222     PISSN: 01489062     EISSN: None     Source Type: Journal    
DOI: 10.1016/0148-9062(96)00016-2     Document Type: Article

References (47)

1. Goodman R. E. and St. John C. Finite element analysis for discontinuous rocks. In Numerical Methods in Geotechnical Engineering. McGraw-Hill, New York (1976).
2. Crouch S. L. and Starfield A. M. Boundary Element Methods in Solid Mechanics. Allen and Unwin, London (1983).
3. Shi G.-H. and Goodman R. E. Discontinuous deformation analysis. Proc. 25th U.S. Symp. Rock Mech., pp. 269-277. Evanston, SME/AIME (1984).
4. Shi G.-H. Discontinuous deformation analysis: a new numerical model for the statics and dynamics of block systems. Ph.D. thesis, University of California, Berkeley (1988).
5. Shi G.-H. and Goodman E. E. Generalization of two-dimensional continuous deformation analysis for forward modeling. Int. J. Num. & Anal. Method in Geomech. 13, 359-380 (1989).
6. Shi G.-H. Forward and backward discontinuous deformation analysis of rock systems. Proc. Int. Conf. on Rock Joints, pp. 731-743. Loen, Norway, Balkema (1990).
7. Ke T. C. and Goodman R. E. Discontinuous deformation analysis and the artificial joint concept. Proc. 1st North American Rock Mechanics Symposium, pp. 599-606. Austin, Balkema (1994).
8. Yeung M. R. and Klein S. J. Application of the discontinuous deformation analysis to the evaluation of rock reinforcement for tunnel stabilization. Proc. 1st North American Rock Mechanics Symposium, pp. 607-614. Austin, Balkema (1994).
9. Campbell J. S. A penalty function approach to the minimization of quadratic functions in finite element analysis. Proceedings of Finite Elements in Engineering, University of South Wales (1974).
10. Felippa C. A. Iterative procedures for improving penalty function solutions of algebraic systems. Int. J. Num. Methods in Engineering 12, 821-836 (1978).
11. Felippa C. A. Penalty-function iterative procedures for mixed finite element formulations. Int. J. Num. Methods in Engineering 22, 267-279 (1986).
12. Zienkiewicz O. C., Li X.-K. and Nakasawa S. Iterative solution of mixed problems and the stress recovery procedures. Report C/R476/84, Institute for Numerical Methods in Engineering, University College of Swansea, Wales, U.K. (1984).
13. Lin C. T. Extensions to the discontinuous deformation analysis for jointed rock masses and other blocky systems. Ph.D. thesis. University of Colorado, Boulder (1995).
14. Lander J. A. and Taylor R. L. An Augmented Lagrangian Formulation for the finite element solution of contact problems. Naval Civil Engineering Laboratory, Port Hueneme, CA, Technical Report CR 86.008 (1986).
15. Timoshenko S. and Goodier J. N. Theory of Elasticity. 2nd Edition, McGraw-Hill, New York (1951).
16. Cook R. D., Malkus D. S. and Plesha M. E. Concepts and Applications of Finite Element Analysis. 3rd Edition, John Wiley (1989).
17. Hughes J. R. T. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Prentice-Hall (1987).
18. Brebbia C. A. and Dominguez J. Boundary Element Methods. An Introductory Course. McGraw Hill (1989).
19. Kanninen M. F. and Popelar C. H. Advanced Fracture Mechanics. Oxford University Press, New York (1985).
20. Giani GP. Potenzialita dei metodi di analisi nella previsione del moto di caduta massi lungo versante. Proc. MIR'92, Politecnico di Torino, Paper 11-1 (1992).
21. Piteau D. R. Computer Rockfall Model. ISMES, pp. 90-127. Bergamo (1976).
22. Spang R. M. and Rautenstrauch R. W. Protection against rockfall-stepchild in the design of rock slopes. Proc. 6th Cong. Int. Soc. Rock Mech., pp. 551-557. Montreal, Balkema (1987).
23. Hungr O. and Evans S. G. Engineering evaluation of fragmental rockfall hazards. Proc. 5th Int. Symp. on Landslides, pp. 685-690. Lausanne, Balkema (1988).
24. Fornaro M., Peila D. and Nebbia M. Block falls on rock slopes; application of a numerical simulation program to some real case. Proc. 6th Int. Cong. IAEG, pp. 2173-2180. Amsterdam, Balkema (1990).
25. Bozzolo D. and Pamini R. Modello matematico per lo studio delle cadute massi. Laboratorio di Fisica Terrestre, ICTS, Lugano, 1-80 (1992).
26. Azzoni A., Giani G. P., Rossi P. P. and Zaninetti A. Stima dei parametri caratteristici del moto di caduta blocchi. Prove in sito ed osservazioni. Incontro di studio su: Lameccanica delle rocce a piccola profondita. Ass. Min. Subalpina, Torino, 17-24 (1991).
27. Descoedudres F. and Zimmermann T. H. Three-dimensional dynamic calculation of rockfalls. Proc. 6th Cong. Int. Soc. Rock Mech., pp. 337-342. Montreal, Balkema (1987).
28. Cundall P. A. A computer model for simulating progressive, large scale movements in blocky rock systems. Proc. Symp. of the Int. Soc. Rock Mech. (Nancy, France, 1971), Vol. 1, Paper No. II-8 (1971).
29. Cundall P. A. and Hart R. D. Development of generalized 2-D and 3-D distinct element programs for modeling jointed rocks. Misc. Paper SL-85-I. U.S. Army Corps of Engineers, Itasca Consulting Group (1985).
30. Lambe T. W. and Whitman R. V. Soil Mechanics, SI version. Wiley, New York (1979).
31. Cai M. and Horii H. A constitutive model of highly jointed rock mass. Mechanics of Materials 13, 217-246 (1992).
32. Cai, M. and Horii H. A constitutive model and FEM analysis of jointed rock masses. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 30, 351-359 (1993).
33. Cai M. and Horii H. Constitutive modeling of rock masses containing fracturing joints and analysis of large-scale excavation. Proc. 1st North American Rock Mechanics Symposium, pp. 681-688. Austin, Balkema (1994).
34. Sharon S. K. Elasto-plastic finite element analysis of underground openings using elastic support. Proc. 33rd U.S. Symposium on Rock Mechanics, Madison, Int. J. Mech. Min. Sci. & Geomech. Abstr. 30, 1291-1294 (1993).
35. Cho T. F. and Lee C. A new discrete rockbolt element for finite element analysis. Proc. 33rd U.S. Symposium on Rock Mechanics, Madison, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 30, 1307-1310 (1993).
36. Varadarajan A., Sharma K. G. and Singh R. B. Some aspects of coupled FEBEM analysis of underground openings. Int. J. Num. & Anal. Methods in Geomech. 9, 557-571 (1985).
37. Varadarajan A., Sharma K. G. and Singh R. B. Elasto-plastic analysis of an underground opening by FEM and coupled FEBEM. Int. J. Num. & Anal. Methods in Geomech. 11, 475-487.
38. Swoboda G. and Mertz W. Rheological analysis of tunnel excavations by means of coupled finite element (FEM)-boundary element (BEM) analysis. Int. Num. & Anal. Methods in Geomech. 11, 115-129 (1987).
39. Carter J. P. and Xiao B. A. 2D coupled finite element and boundary element scheme to simulate the elastic behavior of jointed rocks. Int. J. Num. & Anal. Methods in Geomech. 18 ,49-71 (1994).
40. Xiao B. and Carter J. P. Elastoplastic analysis of jointed rocks using a coupled finite element and boundary element method. Int. J. Num. & Anal. Methods in Geomech. 18, 445-466 (1994).
41. Lorig L. J., Brady B. H. G. and Cundall P. A. Hybrid distinct element boundary element analysis of jointed rock. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 23, 303-312 (1986).
42. SAP90. Computers and Structures, Berkeley, CA (1990).
43. Bandis S. C., Lumsden A. C. and Barton N. R. Fundamentals of rock joint deformation. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 20, 249-268 (1983).
44. Jing L. Numerical modeling of jointed rock masses by Distinct Element Method for two and three dimensional problems. Ph.D. thesis, University of Lulea, Sweden (1990).
45. Wibowo J., Amadei B., Sture S., Robertson A. B. and Price R. Effect of boundary conditions on the strength and deformability of replicas of natural fractures in welded tuff: data analysis. Sandia Report 93-7079 (1994).
46. Qui X., Plesha M. E., Huang X. and Haimson B. C. An investigation of the mechanics of rock joints - Part 1: Laboratory investigation. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 30, 257-270 (1993).
47. Whittaker B. N., Singh R. N. and Sun G. Rock Fracture Mechanics: Principles, Design and Applications. Elsevier, New York (1992).