A general boundary element analysis of 2-D linear elastic fracture mechanics

International Journal of Fracture

Volumn 88, Issue 1, 1997, Pages 41-59

  Pan, Ernian ^a  

^a UCB 450   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTURE MECHANICS;

EID: 0031544656     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007462319811     Document Type: Article

References (45)

1. Aliabadi, M.H. (1997). Boundary element formulations in fracture mechanics. Applied Mechanics Review 50, 83-96.
2. Amadei, B. and Pan, E. (1992). Gravitational stresses in anisotropic rock masses with inclined strata. International Journal of Rock Mechanics and Mining Science & Geomechanics Abstracts 29, 225-236.
3. Ammons, B. A. and Vable, M. (1996). Boundary element analysis of cracks. International Journal of Solids and Structures 33, 1853-1865.
4. Blandford, G.E., Ingraffea, A.R. and Liggett, J.A. (1981). Two-dimensional stress intensity factor computations using the boundary element method. International Journal for Numerical Methods in Engineering 17, 387-404.
5. Chang, C. and Mear, M.E. (1995). A boundary element method for two dimensional linear elastic fracture analysis. International Journal of Fracture 74, 219-251.
6. Chen, Y.Z. (1995). Hypersingular integral equation approach for the multiple crack problem in an infinite plate. Acta Mechanica 108, 121-131.
7. Civelek, M.B. and Erdogan, F. (1982). Crack problems for a rectangular sheet and an infinite strip. International Journal of Fracture 19, 139-159.
8. Crouch, S.L. and Starfield, A.M. (1983). Boundary Element Methods in Solid Mechanics, George Allen and Unwin Publishers, London.
9. Dumir, P.C. and Mehta, A.K. (1987). Boundary element solution for elastic orthotropic half-plane problems. Computers and Structures 26, 431-438.
10. Eshelby, J.D., Read, W.T. and Shockley, W. (1953). Anisotropic elasticity with applications to dislocations theory. Acta Metallurgica 1, 251-259.
11. Gandhi, K.R. (1972). Analysis of an inclined crack centrally placed in an orthotropic rectangular plate. Journal of Strain Analysis 7, 157-162.
12. Gray, L.J., Martha, L.F. and Ingraffea, A.R. (1990). Hypersingular integrals in boundary element fracture analysis. International Journal for Numerical Methods in Engineering 29, 1135-1158.
13. Hong, H.K. and Chen, J.T. (1988). Derivations of integral equations of elasticity. Journal of Engineering Mechanics 114, 1028-1044.
14. Itou, S. (1994). Stress intensity factors around a crack parallel to a free surface of a half-plane. International Journal of Fracture 67, 179-185.
15. Lee, J.S. (1995). Boundary element method for electroelastic interaction in piezoceramics. Engineering Analysis with Boundary Elements 15, 321-328.
16. Lekhnitskii, S.G. (1963). Theory of Elasticity of an Anisotropic Body, Holden Day, San Francisco.
17. Leung, A.Y.T. and Su, R.K.L. (1995). Body-force linear elastic stress intensity factor calculation using fractal two level finite element method. Engineering Fracture Mechanics 51, 879-888.
18. Liu, N. and Altiero, N.J. (1991). Multiple cracks and branch cracks in finite plane bodies. Mechanics Research Communications 18, 233-244.
19. Liu, N. and Altiero, N.J. (1992). An integral equation method applied to mode III crack problems. Engineering Fracture Mechanics 41, 587-596.
20. Liu, N., Altiero, N.J. and Sur, U. (1990). An alternative integral equation approach applied to kinked cracks in finite plane bodies. Computer Methods in Applied Mechanics and Engineering 84, 211-226.
21. Ma, S.W. (1988). A central crack in a rectangular sheet where its boundary is subjected to an arbitrary anti-plane load. Engineering Fracture Mechanics 30, 435-443.
22. Ma, S.W. (1989). A central crack of mode III in a rectangular sheet with fixed edges. International Journal of Fracture 39, 323-329.
23. Ma, S.W. and Zhang, L.X. (1991). A new solution of an eccentric crack off the center line of a rectangular sheet for mode-III. Engineering Fracture Mechanics 40, 1-7.
24. Murakami, Y. (1987). Stress Intensity Factors Handbook, Pergamon Press, Oxford.
25. Noda, N.A. and Matsuo, T. (1993). Numerical solutions of singular integral equations having Cauchy-type singular kernel by means of expansion method. International Journal of Fracture 63, 229-245.
26. Pan, E. and Amadei, B. (1995). Stress concentration at irregular surfaces of anisotropic half-spaces. Acta Mechanica 113, 119-135.
27. Pan, E. and Amadei, B. (1996a). Fracture mechanics analysis of cracked 2-D anisotropic media with a new formulation of the boundary element method. International Journal of Fracture 77, 161-174.
28. Pan, E. and Amadei, B. (1996b). A 3-D boundary element formulation of anisotropic elasticity with gravity. Applied Mathematical Modelling 20, 114-120.
29. Pan, E., Chen, C.S. and Amadei, B. (1997). A BEM formulation for anisotropic half-plane problems. Engineering Analysis with Boundary Elements 20, 185-195.
30. Portela, A., Aliabadi, M.H. and Rooke, D.P. (1992). The dual boundary element method: Effective implementation for crack problems. International Journal for Numerical Methods in Engineering 33, 1269-1287.
31. Sih, G.C., Paris, P.C. and Irwin, G.R. (1965). On cracks in rectilinearly anisotropic bodies. International Journal of Fracture 3, 189-203.
32. Snyder, M.D. and Cruse, T.A. (1975). Boundary-integral analysis of anisotropic cracked plates. International Journal of Fracture 11, 315-328.
33. Sollero, P. and Aliabadi, M.H. (1993). Fracture mechanics analysis of anisotropic composite laminates by the boundary element method. International Journal of Fracture 64, 269-284.
34. Sollero, P. and Aliabadi, M.H. (1995a). Anisotropic analysis of cracks in composite laminates using the dual boundary element method. Composite structures 31, 229-233.
35. Sollero, P. and Aliabadi, M.H. (1995b). Dual boundary element analysis of anisotropic crack problems. In Boundary Elements XVII, C. A. Brebbia et al. (eds.) Computational Mechanics Publications, Southampton, 267-278.
36. Sollero, P., Aliabadi, M.H. and Rooke, D.P. (1994). Anisotropic analysis of cracks emanating from circular holes in composite laminates using the boundary element method. Engineering Fracture Mechanics 49, 213-224.
37. Stroh, A.N. (1958). Dislocations and cracks in anisotropic elasticity. The Philosophical Magazine 7, 625-646.
38. Suo, Z. (1990). Singularities, interfaces and cracks in dissimilar anisotropic media. Proceedings of the Royal Society (London), A427, 331-358.
39. Sur, U. and Altiero, N.J. (1988). An alternative integral equation approach for curved and kinked cracks. International Journal of Fracture 38, 25-41.
40. Tada, H., Paris, P.C. and Irwin, G.R. (1985). The Stress Analysis of Cracks Handbook, 2nd Edition, Paris Productions Incorporated, Missouri.
41. Telles, J.C.F. and Brebbia, C. A. (1981). Boundary element solution for half-plane problems. International Journal of Solids and Structures 17, 1149-1158.
42. Ting, T.C.T. (1992). Image singularities of Green's functions for anisotropic elastic half-spaces and bimaterials. Quarterly Journal of Mechanics and Applied Mathematics 45, 119-139.
43. Ting, T.C.T. and Barnett, D.M. (1993). Image force on line dislocations in anisotropic elastic half-spaces with a fixed boundary. International Journal of Solids and Structures 30, 313-323.
44. Tsamasphyros, G. and Dimou, G. (1990). Gauss quadrature rules for finite part integrals. International Journal for Numerical Methods in Engineering 30, 13-26.
45. Wei, L. and Ting, T.C.T. (1994). Explicit expressions of the Barnett-Lothe tensors for anisotropic materials. Journal of Elasticity 36, 67-83.