Abstract
The simple method developed by Kachanov (1985) for multiple interacting cracks in homogenous medium is extended to predict complex stress intensity factor for multiple split type interface cracks. Calculations are implemented for two equal cracks and infinite row of periodic cracks at the interface between two dissimilar isotropic materials. Results for infinite row of cracks are compared against the exact analytical solution provided by Sih (1973). The approximate method leads to the results very close the exact solution for crack density up to 0.90 (relative error is less than 3.8% for real part of stress intensity factor) and material dissimilarity does not have a major influence on the error. For crack densities higher than 0.90, the influence of material dissimilarity is more evident and the error increases as material dissimilarity increases. The promising match between the approximate and exact method proves the capability of the approximate method for solving other interacting interface crack problems, such as multiple penny-shaped interface cracks, in which the solution is not obtained in the literature yet.
Similar content being viewed by others
References
Comninou M (1977) The interface Crack. Journal of Applied Mechanics-Transactions of the ASME 44(4): 631–636
England AH (1965) A crack between dissimilar media. Journal of Applied Mechanics 32: 400–402
Erdogan F (1965) Stress distribution in bonded dissimilar materials with cracks. Journal of Applied Mechanics 32(2): 403–410
Fabrikant VI (1987) Close interaction of coplanar circular cracks in an elastic medium. Acta Mechanica 67(1-4): 39–59
Fabrikant VI (1989) Flat crack under shear loading. Acta Mechanica 78(1-2): 1–31
Hills DA, Barber JR (1993) Interface cracks. International Journal of Mechanical Sciences 35(1): 27–37
Hills DA, Kelly PA, Dai DN, Korsunsky AM (1996) Solution of crack problems: The distributed dislocation technique. Kluwer Academic Publishers
Kachanov M (1985) A simple technique of stress-analysis in elastic solids with many cracks. International Journal of Fracture 28(1): R11–R19
Kachanov M, Laures JP (1989) 3-Dimensional problems of strongly interacting arbitrarily located penny-shaped cracks. International Journal of Fracture 41(4): 289–313
Lavrentyev AI, Rokhlin SI (1994) Models for ultrasonic characterization of environmental degradation of interfaces in adhesive joints. Journal of Applied Physics 76(8): 4643–4650
Lekesiz H, Katsube N, Rokhlin SI, Seghi RR (2013) The stress intensity factors for a periodic array of interacting coplanar penny-shaped cracks. International Journal of Solids and Structures 50(1): 186–200
Mossakovskii VI, Rybka MT (1964) Generalization of the Griffith-Sneddon criterion for the case of a non-homogenous body. Prikl. Mat. Mekh 28: 1061–1069
Noda NA, Oda K (1997) Interaction effect of stress intensity factors for any number of collinear interface cracks. International Journal of Fracture 84(2): 117–128
Rice JR (1988) Elastic fracture mechanics concepts for interfacial cracks. Journal of Applied Mechanics-Transactions of the ASME 55(1): 98–103
Rice JR, Sih GC (1965) Plane problems of cracks in dissimilar media. Journal of Applied Mechanics 32(2): 418–423
Sih GC (1973) Handbook of stress-intensity factors for researchers and engineers. Institute of Fracture and Solid Mechanics, Lehigh University
Suga T, Elssner G, Schmauder S (1988) Composite parameters and mechanical compatibility of material joints. Journal of Composite Materials 22: 917–934
Sun Y, Zhang Z, Kitipornchai S, Liew KM (2006) Analyzing the interaction between collinear interfacial cracks by an efficient boundary element-free method. International Journal of Engineering Science 44: 37–48
Williams ML (1959) The stress around a fault or crack in dissimilar media. Bulletin of the Seismological Society of America 49: 199–204
Willis JR (1972) Penny-shaped crack on an interface. The Quarterly Journal of Mechanics and Applied Mathematics 25: 367–385
Yang XX, Kuang ZB (1996) Contour integral method for stress intensity factors of interface crack. International Journal of Fracture 78: 299–313
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lekesiz, H. On the Complex Stress Intensity Factor for Split type Interface Cracks Based on an Approximate Method. Int J Fract 180, 275–282 (2013). https://doi.org/10.1007/s10704-013-9806-7
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10704-013-9806-7