Extended finite element method (XFEM) for analysis of cohesive rock joint

Journal of Scientific and Industrial Research

Volumn 68, Issue 7, 2009, Pages 575-583

  Deb, Debasis ^a   Das, Kamal Ch ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Heaviside function; Partition of unity; Shear strength of rock joint; XFEM

Indexed keywords

DISCRETE DISCONTINUITIES; EQUILIBRIUM EQUATION; EXTENDED FINITE ELEMENT METHOD; EXTERNAL LOADS; HEAVISIDE FUNCTION; ILL-POSEDNESS; MATHEMATICAL FRAMEWORKS; NODAL DISPLACEMENT; NUMERICAL EXAMPLE; PARTITION OF UNITY; ROCK JOINT; ROCK MASS; STRONG DISCONTINUITY; TRIANGULAR ELEMENTS; TWO-DIMENSIONAL PROBLEM; XFEM;

NEWTON-RAPHSON METHOD; ROCKS; SHEAR STRENGTH;

FINITE ELEMENT METHOD;

DISCONTINUITY; DISPLACEMENT; EXPERIMENTAL STUDY; FINITE ELEMENT METHOD; JOINT; SHEAR STRENGTH;

EID: 69549101632     PISSN: 00224456     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. Oliver J, Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 1: Fundamentals, Int J Numer Meth Engg, 39 (1996) 3575-3600.
2. Oliver J, Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 2 Numerical simulation, Int J Numer Meth Engg, 39 (1996) 3601-3623.
3. Goodman R E, Introduction to Rock Mechanics, 2nd edn (John Wiley & Sons, New York) 1989.
4. Pande G N, Beer G & Williams J R, Numerical Methods in Rock Mechanics (Wiley, New York) 1990.
5. Belytschko T & Black T, Elastic crack growth in finite elements with minimal remeshing, Int J Numer Meth Engg, 45 (1999) 601-620.
6. Melenk J M & Babuska I, The partition of unity finite element method: Basic theory and applications, Compu Methods Appl Mech Engg, 139 (1996) 289-314.
7. Moes N, Dolbow J & Belytschko T, A finite element method for crack growth without Remeshing, Int J Numer Meth Engg, 46(1999) 131-150.
8. Belytschko T, Fish J & Engelmann B E, A finite element with embedded localized zones, Comp methods appl Mech Engg, 70 (1988) 59-89.
9. Sukumar N, Moes N, Moran B & Belytschko T, Extended finite element method for three-dimensional crack modelling, Int J Numer Meth Engg, 48 (2000) 1549-1570. (Pubitemid 30617347)
10. Moes N & Belytschko T, Extended finite element method for cohesive crack growth, Engg Fracture Mech, 69 (2002) 813-833. (Pubitemid 34287375)
11. Wells G N & Sluys L J, A new method for modeling cohesive cracks using finite elements, Int J Numer Meth Engg, 50 (2001) 2667-2682.
12. Duarte C A & Oden J T, H-p clouds-an h-p meshless method, Numerical Methods Partial Differential Equat, 12 (1996) 673-705.
13. Bandis S, Lumsden A C & Barton N, Experimental studies of scale effect on shear behavior of rock joints, Int J Rock Mech Mining Sci Geomech, 18 (1981) 1-21.
14. Barton N, The shear strength of rock and rock joints, Int J Rock Mech Mining Sci Geomech, 13 (1976) 255-279.
15. Barton N & Choubey V, The Shear strength of rock joints in theory and practice, Rock Mechanics, 10 (1977) 1-54.
16. Patton M S, Multiplemodes of shear failure, in Rock in Proc 1st Congr, vol 1, (International Society of Rock Mechanics, Lisbon) 1966, 509-513.
17. Saeb S & Amadei B, Modelling rock joints under shear and normal loading, Int J Rock Mech Mining Sci Geomech, 29 (1992) 267-278.
18. Deb D, Finite Element Method-Concepts and Applications in Geomechanics (Prentice Hall, India) 2006.
19. Brady B H G & Brown E T, Rock Mechanics for Underground Mining (George Allen & Unwin Publisher, London) 1985.
20. Jaeger J C, Shear fracture of anisotropic rocks, Geol Mag, 97 (1960) 65-72.
21. Donath F A, Effects of cohesion and granularity on deformational behaviour of anisotropic rock, in Studies in Mineralogy and Precambrian Geology, edited by B R Doe & D K Smith, Goel Soc Am Memoir, 135 (1972) 95-128.
22. Mclamore R & Gray K E, The Mechanical behaviour of anisotropic sedimentary rocks, J Energy Ind, Trans Am. Soc Mech Engr Ser, 89 B (1967) 62-73.