Abstract
The purpose of the present work is a parametrical study of the interaction between a propagating edge-crack and an embedded elastic fibre using the Boundary Element (BE) technique. Uniaxial fibre reinforced composites generally have very good properties in the direction of the fibres, but in conventional multi-layer crossply laminates it is cracking in the transverse direction which effectively limits the strength of a stressed body. Therefore, in this study the propagation of a crack in the transverse direction is considered, i.e., in a plane containing the fibre axes, rather than perpendicular to the fibres. Crack deflection/attraction mechanisms and their associated energy release rate variations are investigated for a range of Young's moduli and Poisson's ratio mismatches, and crack offsets with respect to the inclusion centreline. Furthermore, the effects of a third-phase, i.e., coating, applied to the fibre's surface are analysed, and results have been obtained for different coating thicknesses and elastic moduli ratios. From this investigation it was found that the Poisson's ratio of the different phases could have a significant effect on the crack trajectory, and hence the energetics involved in the process of crack deflection are also dramatically altered. This opens up the possibility of enhancing the fracture toughness of fibre reinforced composite materials by considering the Poisson's ratio of the individual phases when selecting the particular material combination.
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References
Atkinson, C. (1972). The interaction between a crack and an inclusion. International Journal of Engineering Science 10, 127–136.
Bush, M.B. (1997). The interaction between a crack and a particle cluster. International Journal of Fracture 88, 215–232.
De Lacerda, L.A. and Wrobel, L.C. (2001). Dual boundary element method for axisymmetric crack analysis. International Journal of Fracture, in press.
Erdogan, F., Gupta, G.D. and Ratwani, M. (1974). Interaction between a circular inclusion and an arbitrarily oriented crack. Journal of Applied Mechanics 41, 1007–1013.
Gallagher, R.H. (1978). A review of finite element techniques in fracture mechanics, Proceedings of the First Conference on Numerical Methods in Fracture Mechanics, 1–25.
Hwu, C., Liang, Y.K. and Yen, W.Y. (1995). Interactions between inclusions and various types of cracks. International Journal of Fracture 73, 301–323.
Ingraffea, A.R., Blandford, G.E. and Ligget, J.A. (1983). Automatic modelling of mixed-mode fatigue and quasistatic crack propagation using the boundary element method. Proceeding of Fracture Mechanics: Fourteenth Symposium, ASTM STP 791, I407–I426.
Kelly, P., Hills, D.A. and Nowell, D. (1994). Curved interface cracks between elastically dissimilar media, with application to the analysis of circular inclusions. International Journal of Mechanical Sciences 36, 173-181.
Kocer, C. and Collins, R.E. (1998). The angle of hertzian cone cracks. Journal of the American Ceramics Society 81, 1736–1742.
Li, R. and Chudnovsky, A. (1993a). Variation of the energy release rate as a crack approaches and passes through an elastic inclusion. International Journal of Fracture 59, R69–R74.
Li, R. and Chudnovsky, A. (1993b). Energy analysis of crack interaction with an elastic inclusion. International Journal of Fracture 63, 247–261.
Lipetzky, P. and Knesl, Z. (1995). Crack-particle interaction in two-phase composites: Part II – Crack deflection. International Journal of Fracture 73, 81–92.
Lipetzky, P. and Schmauder, S. (1994). Crack-particle interaction in two-phase composites: Part I – Particle shape effects. International Journal of Fracture 65, 345–358.
Mikata, Y. and Taya, M. (1985). Stress field in and around a coated short fiber in an infinite matrix subjected to uniaxial and biaxial loadings. Journal of Applied Mechanics 52, 19–24.
Portela, A., Aliabadi, M.H. and Rooke, D.P. (1993). Dual boundary element incremental analysis of crack propagation. Computers and Structures 46, 237–247.
Sendeckyj, G.P. (1974). Interaction of cracks with rigid inclusions in longitudinal shear deformation. International Journal of Fracture 10, 45–52.
Swenson, D.V. and Ingraffea, A.R. (1988). Modelling mixed-mode dynamic crack propagation using finite elements: theory and application. Computational Mechanics 3, 381–397.
Tamate, O. (1968). The effect of a circular inclusion on the stresses around a line crack in a sheet under tension. International Journal of Fracture 4, 257–265.
Vörös, G and Pukánszky, B. (2001). Effect of a soft interlayer with changing properties on the stress distribution around inclusions and yielding of composites. Composites: Part A-Applied Science and Manufacturing 32, 343–352.
Xiao, Z.M. and Chen, B.J. (2001). Stress intensity factor for a Griffith crack interacting with a coated inclusion. International Journal of Fracture 108, 193–205.
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Knight, M., Wrobel, L., Henshall, J. et al. A study of the interaction between a propagating crack and an uncoated/coated elastic inclusion using the BE technique. International Journal of Fracture 114, 47–61 (2002). https://doi.org/10.1023/A:1014837509347
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DOI: https://doi.org/10.1023/A:1014837509347