Boundary element analysis of fracture mechanics in anisotropic bimaterials

Engineering Analysis with Boundary Elements

Volumn 23, Issue 8, 1999, Pages 683-691

  Pan, E ^a   Amadei, B ^a  

^a University of Colorado   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BOUNDARY ELEMENT METHOD; CRACK PROPAGATION; ELASTICITY; GREEN'S FUNCTION; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); STRESS ANALYSIS; STRESS INTENSITY FACTORS;

ANISOTROPIC BIMATERIALS; CRACK TIP DISPLACEMENT;

FRACTURE MECHANICS;

EID: 0033190085     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(99)00018-1     Document Type: Article

References (38)

1. Williams M.L. The stresses around a fault or crack in dissimilar media. Bull Seism Soc Am. 49:1959;199-204.
2. England A.H. A crack between dissimilar media. J Appl Mech. 32:1965;400-402.
3. Rice J.R., Sih G. Plane problems of cracks in dissimilar media. J Appl Mech. 32:1965;418-423.
4. Rice J.R. Elastic fracture mechanics concepts for interfacial cracks. J Appl Mech. 55:1988;98-103.
5. Clements D.L. A crack between dissimilar anisotropic media. Int J Engng Sci. 9:1971;257-265.
6. Willis J.R. Fracture mechanics of interfacial cracks. J Mech Phys Solids. 19:1971;353-368.
7. Ting T.C.T. Explicit solution and invariance of the singularities at an interface crack in anisotropic composites. Int J Solids Structures. 22:1986;965-983.
8. Ting T.C.T. Interface cracks in anisotropic biomaterials. J Mech Phys Solids. 38:1990;505-513.
9. Bassani J.L., Qu J. Finite cracks on biomaterial and bicrystal interfaces. J Mech Phys Solids. 37:1989;435-453.
10. Tewary V.K., Wagoner R.H., Hirth J.P. Elastic Green's function for a composite solid with a planar interface. J Mater Res. 4:1989;113-123.
11. Suo Z. Singularities, interfaces and cracks in dissimilar anisotropic media. Proc R Soc Lond A. 427:1990;331-358.
12. Wu K.C. Stress intensity factor and energy release rate for interfacial cracks between dissimilar anisotropic materials. J Appl Mech. 57:1990;882-886.
13. Wu K.C. Explicit crack-tip fields of an extending interface crack in an anisotropic bimaterial. Int J Solids Structures. 27:1991;455-466.
14. Qu J., Li Q. Interfacial dislocation and its application to interface crack in anisotropic biomaterials. J Elasticity. 26:1991;167-195.
15. Ni L., Nemat-Nasser S. Interface cracks in anisotropic dissimilar materials: an analytic solution. J Mech Phys Solids. 39:1991;113-144.
16. Gao H., Abbudi M., Barnett D.M. Interfacial crack-tip field in anisotropic elastic solids. J Mech Phys Solids. 40:1992;393-416.
17. Yuuki R., Cho S.B. Efficient boundary element analysis of stress intensity factors for interface cracks in dissimilar materials. Engng Fracture Mech. 34:1989;179-188.
18. Lee K.Y., Choi H.J. Boundary element analysis of stress intensity factors for bimaterial interface cracks. Engng Fracture Mech. 29:1988;461-472.
19. Tan C.L., Gao Y.L., Afagh F.F. Boundary element analysis of interface cracks between dissimilar anisotropic materials. Int J Solids Structures. 29:1992;3201-3220.
20. Ang H.E., Torrance J.E., Tan C.L. Boundary element analysis of orthotropic delamination specimens with interface cracks. Engng Fracture Mech. 54:1996;601-615.
21. Hong H.K., Chen J.T. Derivations of integral equations of elasticity. J Engng Mech. 114:1988;1028-1044.
22. Portela A., Aliabadi M.H., Rooke D.P. The dual boundary element method: effective implementation for crack problems. Int J Numer Meth Engng. 33:1992;1269-1287.
23. Chen J.T., Hong H.K. Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series. Appl Mech Rev. 52:1999;17-33.
24. Pan E., Amadei B. Fracture mechanics analysis of cracked 2-D anisotropic media with a new formulation of the boundary element method. Int J Fracture. 77:1996;161-174.
25. Pan E. A general boundary element analysis of 2-D linear elastic fracture mechanics. Int J Fracture. 88:1997;41-59.
26. Lekhnitskii S.G. Theory of elasticity of an anisotropic body. 1963;Holden-Day, San Francisco.
27. Eshelby J.D., Read W.T., Shockley W. Anisotropic elasticity with applications to dislocations theory. Acta Metal. 1:1953;251-259.
28. Stroh A.N. Dislocations and cracks in anisotropic elasticity. Philos Mag. 7:1958;625-646.
29. Ting T.C.T. Anisotropic elasticity: theory and applications. 1996;Oxford University Press, New York.
30. Pan E., Chen C.S., Amadei B. A BEM formulation for anisotropic half-plane problems. Engng Anal Boundary Elements. 20:1997;185-195.
31. Pan E. A BEM analysis of fracture mechanics in 2-D anisotropic piezoelectric solids. Engng Analy Boundary Elements. 23:1999;67-76.
32. Sollero P., Aliabadi M.H., Rooke D.P. Anisotropic analysis of cracks emanating from circular holes in composite laminates using the boundary element method. Engng Fracture Mec. 49:1994;213-224.
33. Cruse T.A. Boundary element analysis in computational fracture mechanics. 1988;Kluwer Academic, Dordrecht.
34. Aliabadi M.H. Boundary element formulations in fracture mechanics. Appl Mech Rev. 50:1997;83-96.
35. Crouch S.L., Starfield A.M. Boundary element methods in solid mechanics. 1983;George Allen and Unwin, London.
36. Tsamasphyros G., Dimou G. Gauss quadrature rules for finite part integrals. Int J Numer Methods Engng. 30:1990;13-26.
37. Isida M., Noguchi H. Plane elastostatic problems of bonded dissimilar materials with an interface crack and arbitrarily located cracks. Trans Jap Soc Mech Engng. 49:1983;137-146. in Japanese.
38. Dwyer J.F., Pan E. Edge function analysis of stress intensity factors in cracked anisotropic plates. Int J Fracture. 72:1995;327-342.