Crack-tip micro mechanical fields in layered elastic composites: Crack parallel to the interfaces

International Journal of Solids and Structures

Volumn 35, Issue 1-2, 1998, Pages 149-179

  Jha, M ^a   Charalambides, P G ^a  

^a UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPOSITE MICROMECHANICS; CRACKS; FINITE ELEMENT METHOD; INTERFACES (MATERIALS); STRESS ANALYSIS; STRESS INTENSITY FACTORS;

CRACK TIP MICROMECHANICAL FIELDS; PERIODICALLY LAYERED BIMATERIAL COMPOSITES;

COMPOSITE MATERIALS;

COMPOSITE; CRACK PROPAGATION; STRESS INTENSITY FACTOR;

EID: 0031905939     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(97)00054-1     Document Type: Article

References (31)

1. ABAQUS version 5.5 (1995) Hibbit, Karlsson and Sorensen, Inc., Pawtucket, RI, U.S.A.
2. Ballarini, R., Charalambides, P. G. and Islam, S. (1995) Near-tip dual length scale mechanics of mode-I cracking in laminated brittle matrix composites. International Journal of Fracture 70, 275-304.
3. Bensoussan, A., Lions, J. and Papanicolaou, G. (1978) Asymptotic analysis of periodic structures. In Studies in Mathematics and its Applications, volume 5. North Holland, Amsterdam.
4. Charalambides, P. G. (1991) Steady-state mechanics of delamination cracking in laminate ceramic matrix composites. Journal of the American Ceramics Society 74, 3066-3080.
5. Charalambides, P. G., Lund, J., Evans, A. G. and McMeeking, R. M. (1989) A test specimen for determining the fracture resistance of bimaterial interfaces. Journal of Applied Mechanics 56, 77-82.
6. Charalambides, P. G., Zhang, W. and Ansari, M. M. (1995) Modeling of steady-state delamination in brittle matrix cross-ply composite laminates. Journal of the American Ceramics Society (submitted).
7. Christensen, R. M. (1991) Mechanics of Composite Materials. Kreiger, Malabar.
8. Clements, D. L. (1971) A crack between dissimilar anisotropic media. International Journal of Engineering Science 9, 257-265.
9. Dundurs, J. (1969) Edge bonded dissimilar orthogonal elastic wedges under normal and shear loading. Journal of Applied Mechanics 36, 650-652.
10. England, A. H. (1965) A crack between dissimilar media. Journal of Applied Mechanics 32, 400-402.
11. Erdogan, F. (1963) Stress distribution in a nonhomogeneous elastic plane with cracks. Journal of Applied Mechanics 30, 232-236.
12. Erdogan, F. (1965) Stress distribution in bonded dissimilar materials with cracks. Journal of Applied Mechanics 32, 403-410.
13. Hutchinson, J. W. and Suo, Z. (1992) Mixed mode cracking of layered materials. Advances in Applied Mechanics 29, 63-191.
14. Jha, M. and Charalambides, P. G. (1997) Crack-tip micro mechanical fields in layered elastic composites: crack perpendicular to the interfaces. Int. J. Fracture (submitted).
15. Jha, M., Charalambides, P. G. and Ballarini, R. (1997) Near-tip mode-I elastic fields in bimaterial layered systems. International Journal of Solids and Structures 34, 1849-1871.
16. Lekhnitskii, S. G. (1963) Theory of Elasticity of an Anisotropic Body. Holden-Day, San Francisco.
17. Matos, P. P. L., McMeeking, R. M., Charalambides, P. G. and Drory, M. D. (1989) A method for calculating stress intensities in bimaterial fracture. International Journal of Fracture 40, 235-254.
18. Muskhelishvili, N. I. (1953) Some Basic Problems of the Mathematical Theory of Elasticity. P. Noordhoff Ltd., Groningen, Holland.
19. Parks, D. M. (1974) A stiffness derivative finite element technique for determination of crack-tip stress intensity factor. International Journal of Fracture 10(4), 487-504.
20. Qu, J. and Bassani, J. L. (1989) Cracks on bimaterial and bicrystal interfaces. Journal of the Mechanics and Physics of Solids 37, 417-433.
21. Qu, J. and Bassani, J. L. (1993) Interfacial fracture mechanics for anisotropic bimaterials. Journal of Applied Mechanics 60, 422-431.
22. Rice, J. R. (1988) Elastic fracture mechanics concepts for interfacial cracks. Journal of Applied Mechanics 55, 98-103.
23. Rice, J. R. and Sih, G. C. (1965) Plane problems of cracks in dissimilar media. Journal of Applied Mechanics 32, 418-423.
24. Sanchez-Palencia, E. (1980) Non-homogeneous Media and Vibration Theory. Lecture notes in physics, Springer, Berlin.
25. Shaw, M. C., Marshall, D. B. and Dadkhan, M. S. (1993) Cracking and damage mechanics in ceramic/metal multilayers. Acta Metallica Materiala 41, 3311.
26. Sih, G. C., Paris, P. C. and Irwin, H. (1965) On cracks in rectilinearly anisotropic bodies. International Journal of Fracture Mechanics 1, 189-203.
27. Tewary, V. K., Wagoner, R. H. and Hirth, J. P. (1989) Elastic Green's function for a composite solid with a planar interface. Journal of Material Research 4, 113-136.
28. Ting, T. C. (1986) Explicit solution and invariance of the singularities at an interface crack in anisotropic composites. International Journal of Solids and Structures 22, 965-983.
29. Williams, M. L. (1959) The stress around a fault or crack in dissimilar media. Bulletin of the Seismological Society of America 49, 199-204.
30. Willis, J. R. (1971) Fracture mechanics of interfacial cracks. Journal of the Mechanics and Physics of Solids 19, 353-368.
31. Zhang, W. (1994) Delamination studies of ceramic matrix composite laminates. Ph.D. thesis, Michigan Technological University.