BEM based evaluation of SIFs using modified crack closure integral technique under remote and/or crack edge loading

Engineering Fracture Mechanics

Volumn 61, Issue 5-6, 1998, Pages 655-671

  Mukhopadhyay, N K ^a   Maiti, S K ^b   Kakodkar, A ^a  

^a BHABHA ATOMIC RESEARCH CENTRE   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

BEM; Crack edge loading; Mixed mode; Modified crack closure integral; Remote loading; SIFs; Subregion analysis

Indexed keywords

BOUNDARY ELEMENT METHOD; CRACKS; ELASTIC MODULI; PROBLEM SOLVING; STRAIN;

CRACK EDGE LOADING; MIXED MODE; MODIFIED CRACK CLOSURE INTEGRAL; REMOTE LOADING; SUBREGION ANALYSIS;

STRESS INTENSITY FACTORS;

STRESS INTENSITY FACTOR;

EID: 0032215891     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0013-7944(98)00040-X     Document Type: Article

References (32)

1. Cruse T.A. BIE fracture mechanics analysis: 25 years of developments. Computational Mechanics. 18:1996;1-11.
2. Cruse, TA. Numerical evaluation of elastic stress intensity factors by the boundary integral equation method. In The Surface Crack: Physical Problems and Computational Solutions, ed. J. L. Swedlow New York: ASME, 1972, pp. 153-170.
3. Lachat J.C., Watson J.O. Effective numerical treatment of boundary integral equations: a formulation for three-dimensional elastoplastics. Int. J. Numer. Meth. Engng. 10:1976;991-1005.
4. Cruse T.A. Two-dimensional BIE fracture mechanics analysis. Appl. Math. Modelling. 2:1978;287-293.
5. Tan C.L., Fenner R.T. Three-dimensional stress analysis by the boundary integral equation method. J. Strain Analysis. 13:1978;231-237.
6. Blandford G.E., Ingraffea A.R., Liggett J.A. Two-dimensional stress intensity factor computations using the boundary element method. Int. J. Numer. Methods Engng. 17:1981;387-404.
7. van der Weeen F. Mixed mode fracture analysis of rectilinear anisotropic plates using singular boundary elements. Comput. and Struct. 17:1983;469-474.
8. Martinez J., Dominguez J. On the use of quarter-point boundary elements for stress intensity factor computations. Int. J. Numer. Methods Engng. 20:1984;1941-1950.
9. Karami G., Fenner R.T. Analysis of mixed mode fracture and crack closure using the boundary integral equation method. Int. J. Fracture. 30:1986;13-29.
10. Ang W.T. A boundary integral solution for the problem of multiple interacting cracks in an elastic material. Int. J. Fracture. 31:1986;259-270.
11. Aliabadi M.H., Rooke D.P., Cartwright D.J. Mixed-mode Bueckner weight functions using boundary element analysis. Int. J. Fracture. 34:1987;131-147.
12. Aliabadi M.H., Rooke D.P., Cartwright D.J. An improved boundary element formulation for calculating stress intensity factors: application to aerospace structures. J. Strain Anal. 22:1987;203-207.
13. Liu S.B., Tan C.L. Two-dimensional boundary element contact mechanics analysis of angled crack problems. Engng. Fracture Mech. 42:1992;273-288.
14. Rigby, RH and Aliabadi, MH. 1992. Boundary element analysis of three-dimensional crack problems. In: Computational Methods in Fracture Mechanics. eds. MH Aliabadi, H Nisatani and DJ Cartwright. Computational Mechanics Publications, p. 91-105.
15. Farris T.N., Liu M. Boundary element crack closure calculation of three-dimensional stress intensity factors. Int. J. Fracture. 60:1993;33-47.
16. Zeng Z-J., Dai S-H., Yang Y-M. Analysis of surface cracks using line-spring boundary element method and the virtual crack extension technique. Int. J. Fracture. 60:1993;157-167.
17. Guimaraes S., Telles J.C. F. On the hyper-singular boundary-element formulation for fracture-mechanics applications. Engng. Anal. Boundary Elements. 13:1994;353-363.
18. Selcuk S., Hurd D.S., Crouch S.L., Gerberich W.W. Prediction of interfacial crack path: a direct boundary integral approach and experimental study. Int. J. Fracture. 67:1994;1-20.
19. Gray L.J., Paulino G.H. Symmetric Galerkin boundary integral fracture analysis for plane orthotropic elasticity. Comp. Mech. 20:1997;26-33.
20. Rybicki E.F., Kanninen M.F. A finite element calculation of stress intensity factors by a modified crack closure integral. Engng. Fracture Mech. 9:1977;931-938.
21. Krishnamurthy, T, Ramamurthy, TS, Vijayakumar, K and Duttaguru, B. Modified crack closure integral method for higher order finite elements. In: Proceedings of the International Conference on Finite Elements in Computational Mechanics.ed. T Kant, 1985, Bombay, p. 891-900.
22. Sethuraman R., Maiti S.K. Finite element based computation of strain energy release rate by modified crack closure integral. Engng. Fracture Mech. 30:1988;227-231.
23. Maiti S.K. Finite element computation of the strain energy release rate for a kinking of a crack. Int. J. Fracture. 43:1990;161-174.
24. Maiti S.K. Finite element computation of crack closure integrals and stress intensity factors. Engng. Fracture Mech. 41:1992;339-348.
25. Maiti S.K., Mukhopadhyay N.K., Kakodkar A. Boundary element method based computation of stress intensity factors by modified crack closure integral. Computational Mechanics. 19:1997;203-210.
26. Mukhopadhyay N.K., Maiti S.K., Kakodkar A. Further considerations in modified crack closure integral based computation of stress intensity factor in BEM. Engng. Fract. Mech. 59:1998;269-279.
27. Sethuraman, R. Analytical and finite element studies on two dimensional panels with doubly bonded rectangular finite crack stiffeners, Ph.D. thesis, Department of Mechanical Engineering, I.I.T. Bombay, India, 1989.
28. Rooke, DP and Cartwright, DJ. Compendium of stress intensity factors. London: HMSO, 1976.
29. Kitagawa H., Yuuki R. Analysis of arbitrarily shaped crack in a finite plate using conformal mapping, 1-st report - construction of analysis procedure and its applicability. Trans. Japan, Soc. Mech. Engrs. 43:1977;4354-4362.
30. Murakami, Y. Stress intensity factors handbook. Oxford: Pergamon Press, 1987.
31. Tracey D.M., Cook T.S. Analysis of power type singularities using finite elements. Int. J. Numer. Meth. Engng. 11:1977;1225-1233.
32. Maiti S.K. A finite element for variable order singularities based on the displacement formulation. Int. J. Numer. Meth. Engng. 33:1992;1955-1974.