A modified Kachanov method for analysis of solids with multiple cracks

Engineering Fracture Mechanics

Volumn 70, Issue 9, 2003, Pages 1115-1129

  Li, Y P ^a   Tham, L G ^b   Wang, Y H ^a   Tsui, Y ^b  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Crack interaction; Multiple cracks; Sliding cracks; Stress intensity factor

Indexed keywords

CRACK PROPAGATION; FRICTION; SOLIDS;

CRACK LENGTH;

CRACKS;

CRACK; STRESS INTENSITY FACTOR;

EID: 0037410649     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0013-7944(02)00096-6     Document Type: Article

References (22)

1. Sneddon IN, Lowengrub M. Crack problems in the classical theory of elasticity. New York: Wiley; 1969.
2. Erdogan F. Stress intensity factors. J Appl Mech 1983;50:992-1002.
3. Chen YZ. Multiple crack problems of antiplane elasticity in an infinite body. Eng Fract Mech 1984;20:767-75.
4. Chen YZ. Solutions of multiple crack problems of a circular plate or an infinite plate containing a circular hole by using Fredholm integral equation approach. Int J Fract 1984;25:155-68.
5. Lam KY, Phua SP. Multiple crack interaction and its effect on stress intensity factor. Eng Fract Mech 1991;40:585-91.
6. Chen YZ. A survey of new integral equations in plane elasticity crack problem. Eng Fract Mech 1995;51:97-134.
7. Huang X, Karihaloo BL. Interaction of penny-shaped cracks with a half-plane crack. Int J Solids Struct 1993;30:2117-39.
8. Huang X, Karihaloo BL. Tension softening of quasi-brittle materials modeled by singly and doubly periodic arrays of coplanar penny-shaped cracks. Mech Mater 1992;13:257-75.
9. Karihaloo BL, Huang X. Asymptotic of three-dimensional macrocrack-microcrack interaction. Int J Solids Struct 1995;32:1495-500.
10. Kachanov M. Elastic solids with many cracks: a simple method of analysis. Int J Solids Struct 1987;23:23-43.
11. Gorbatikh L, Kachanov M. A simple technique for constructing the full stress and displacement fields in elastic plates with multiple cracks. Eng Fract Mech 2000;66:51-63.
12. Basista M, Gross D. A note on crack interactions under compression. Int J Fract 2000;102:L67-72.
13. Kachanov M. Effective elastic properties of cracked solids: critical review of some basic concepts. Appl Mech Rev 1992;45:304-35.
14. Wang J, Fang J, Karihaloo BL. Asymptotics of multiple crack interactions and prediction of effective modulus. Int J Solids Struct 2000;37:4261-73.
15. Horii H, Nemat-Nasser S. Compression-induced microcrack growth in brittle solids: axial splitting and shear failure. J Geophys Res 1985;90:3105-25.
16. Wang Y-Z, Atkinson JD, Akid R, Parkins N. Crack interaction, coalescence and mixed mode fracture mechanics. Fatigue Fract Eng Mater Struct 1996;19:427-39.
17. Chandra A, Huang Y, Wei X, Hu KX. A hybrid micro-macro BEM formulation for micro-crack clusters in elastic components. Int J Numer Meth Eng 1995;38:1215-36.
18. Cheung YK, Woo CW, Wang YH. A general method for multiple crack problems in a finite plate. Computat Mech 1992;10:335-43.
19. Li ZL, Wang YH, Li TJ. Boundary numerical methods in fracture mechanics. Beijing: Seismic Press; 1996 [in Chinese].
20. Sih GC. Boundary problems for longitudinal shear cracks. In: Proceedings Second Conference on Theoretical and Applied Mechanics. New York: Pergamon; 1964.
21. Rooke DP, Cartwright DJ. Compendium of stress intensity factors. London: Her Majesty's Stationery Office; 1976.
22. Lauterbach B, Gross D. Crack growth in brittle solids under compression. Mech Mater 1998;29:81-92.