Interaction of arbitrary multiple cracks in an infinite plate

Journal of Strain Analysis for Engineering Design

Volumn 39, Issue 3, 2004, Pages 237-244

  Yan, X ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Boundary element method; Crack tip element; Displacement discontinuity method; Multiple cracks; Stress intensity factor

Indexed keywords

BOUNDARY ELEMENT METHOD; ELASTIC MODULI; FINITE ELEMENT METHOD; GREEN'S FUNCTION; MATHEMATICAL MODELS; PLATE METAL; STRESS INTENSITY FACTORS; TENSILE STRESS;

CONFIGURATION; CRACK TIP ELEMENT; DISPLACEMENT DISCONTINUITY METHOD; MULTIPLE CRACKS;

CRACKS;

EID: 2942549053     PISSN: 03093247     EISSN: None     Source Type: Journal    
DOI: 10.1243/030932404323042669     Document Type: Article

References (32)

1. Brock, D. Elementary Engineering Fracture Mechanics, 4th edition, 1986 (Martinus Nijhoff, The Hague, The Netherlands).
2. Sneddon, I. N. and Lowengrub, M. Crack Problems in Classical Theory of Elasticity, 1969 (John Wiley, New York).
3. Westergaard, H. M. Bearing pressure and crack. Trans. ASME, J. Appl. Mechanics, 1939, 6, 49-53.
4. Muskhelishvili, N. I. Some Basic Problems of Mathematical Theory of Elasticity, 4th edition, 1977 (Noordhoff, Groningen, The Netherlands).
5. Erdogan, F. Stress intensity factors. Trans. ASME, J. Appl. Mechanics, 1983, 50, 992-1002.
6. Bowie, O. L. Analysis of an infinite plate containing radial cracks originating at the boundary of an internal circular hole. J. Math. Phys., 1956, 25, 60-71.
7. Isida, M. Stress intensity factors for the tension of an eccentric crack tip. Trans. ASME, J. Appl. Mechanics, 1966, 33, 674-675.
8. Williams, M. L. On the stress distribution at the base of a stationary crack. Trans. ASME, J. Appl. Mechanics, 1957, 24, 104-114.
9. Sih, G. C., Paris, P. C. and Erdogan, F. Crack tip stress intensity factors for plane extension and plate bending problems. Trans. ASME, J. Appl. Mechanics, 1962, 29, 306-314.
10. Eshelby, J. D., Frank, F. C. and Nabarro, F. R. N. The equilibrium of linear arrays of dislocations. Phil. Mag., 1951, 42, 351-364.
11. Watwood, V. B. The finite element method for prediction of crack behavior. Nucl. Engng Des., 1969, 11, 323-332.
12. Cruse, T. A. Numerical solutions in three dimensional elastostatics. Int. J. Solids Structs, 1969, 5, 1259-1274.
13. Nisitani, H. Solutions of notch problems by the body force method. In Fracture Mechanics (Ed. G. C. Sih), 1978, Vol. 5, pp. 1-68 (Noordhoff, Groningen, The Netherlands).
14. Crouch, S. L. and Starfied, A. M. Boundary Element Method in Solid Mechanics, with Application in Rock Mechanics and Geological Mechanics, 1983 (George Allen and Unwin, London, Boston, Sydney).
15. Murakami, Y. Stress Intensity Factors Handbook, 1987 (Pergamon Press, Oxford).
16. Tada, H., Paris, P. C. and Irwin, G. R. The Stress Analysis of Cracks Handbook, 2nd edition, 1985 (Del Research Corporation).
17. Sih, G. C. Handbook of Stress Intensity Factors for Researchers and Engineers, 1973 (Institute of Fracture and Solid Mechanics, Lehigh University, Bethlehem, Pennsylvania).
18. Rooke, D. P. and Cartwright, D. J. Compendium of Stress Intensity Factors, 1976 (HMSO, London).
19. Brebbia, C. A. and Dominguez, J. Boundary Elements: An Introductory Course, 2nd edition, 1992 (Computational Mechanics Publications, Southampton).
20. Cruse, T. A. Numerical evaluation of elastic stress intensity factors by boundary integral equation method. In Surface Cracks Physics Problems and Computational Solutions (Ed. J. L. Swedlow), 1972, 153-170 (American Society of Mechanical Engineering, New York).
21. Cruse, T. A. Two dimensional BIE fracture mechanics analysis. Appl. Math. Modelling, 1978, 2, 287-293.
22. Blandford, G. E., Ingraffea, A. R. and Liggett, J. A. Two-dimensional stress intensity factor computations using the boundary element method. Int. J. Numer. Meth. Engng, 1981, 17, 387-404.
23. Portela, A., Aliabadi, M. H. and Rook, D. P. The dual boundary element method: effective implementation for crack problems. Int. J. Numer. Meth. Engng, 1992, 33, 1269-1287.
24. Mi, Y. and Aliabadi, M. H. Dual-boundary element method for three dimensional fracture mechanics analysis. Engng Analysis with Boundary Elements, 1992, 10, 161-171.
25. Tanaka, M. and Itoh, H. New crack elements for boundary element analysis of elastostatics considering arbitrary stress singularities. Appl. Math. Modelling, 1987, 11, 357-363.
26. Cruse, T. A. Boundary Element Analysis in Computational Fracture Mechanics, 1989 (Kluwer, Dordrecht, The Netherlands).
27. Aliabadi, M. H. and Rooke, D. P. Numerical Fracture Mechanics, 1991 (Computational Mechanics Publications, Southampton and Kluwer, Dordrecht, The Netherlands).
28. Aliabadi, M. H. Boundary element formulation in fracture mechanics. Appl. Mechanics Rev., 1997, 50, 83-96.
29. Yan, X. A crack tip displacement discontinuity element. Mechanics Res. Commun., 2003 (in press).
30. Irwin, G. R. Analysis of stresses and strains near the end of a crack transversing a plate. Trans. ASME, J. Appl. Mechanics, 1957, 24, 361-364.
31. Sih, G. C. Proceedings of 2nd Conference on Theoretical and Applied Mechanics, 1964, p. 547.
32. Chen, Y. Z. Stress intensity factors for curved and kinked cracks in plane extension. Theoret. Appl. Fracture Mechanics, 1999, 31, 223-232.