Abstract
The behavior of interlaminar fracture of fiber reinforced laminated polymeric composites has been investigated in modes I, II, and different mixed mode I/II ratios. The experimental investigations were carried out by using conventional beam specimens and the compound version of the CTS (compact tension shear) specimen. In this study, a compound version of the CTS specimen is used for the first time to determine the interlaminar fracture toughness of composites. In order to verify the results obtained by the CTS tests, conventional beam tests were also carried out. In the beam tests, specimens of double cantilever beam (DCB) and end notched flexure (ENF) were used to obtain the critical rates of the energy release for failure modes I and II. The CTS specimen is used to obtain different mixed mode ratios, from pure mode I to pure mode II, by varying the loading conditions. The highest mixed mode ratio obtained in the experiment was G I /G II =60. The data obtained from these tests were analyzed by the finite element method. The separated critical rates G I and G II of the energy release were calculated by using the modified virtual crack closure integral (MVCCI) method. The experimental investigations were performed on a unidirectional glass/epoxy composite. The results obtained by the beam and CTS tests were compared. It was found that the interlaminar fracture toughness G init IC of mode I at crack initiation and the corresponding value G Cinit II of mode II obtained by the conventional beam and the CTS tests were in rather good agreement. The experimental results of interlaminar fracture of mixed mode were used to obtain the parameters required for the failure criterion. The two different failure criteria were compared. The best correlation with the experimental data was obtained by using the failure criterion proposed by Wu in 1967 containing linear and quadratic terms of the rates of the energy release.
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R. Rikards, F.-G. Buchholz, A. K. Bledzki, G. Wacker, and A. Korjakin, “Mode I, mode II, and mixed mode I/II interlaminar fracture toughness of GFRP influenced by fiber surface treatment,” Mech. Compos. Mater.,32, No. 5, 439–462 (1996).
H. Albertsen, J. Ivens, P. Peters, M. Wevers, and I. Verpoest, “Interlaminar fracture toughness of CFRP influenced by fibre surface treatment. Part 1. Experimental results,” Compos. Sci. Technol.,54, 133–145 (1995).
R. Rikards, F.-G. Buchholz, A. K. Bledzki, H. Wang, G. Wacker, and A. Korjakin, “Interlaminar fracture toughness of GFRP influenced by fiber surface treatment,” J. Compos. Mater. (1998) (in press).
B. D. Davidson, R. Krüger, and M. König, “Three-dimensional analysis of center-delaminated unidirectional and multidirectional single-leg bending specimens,” Compos. Sci. Technol.,54, 385–394 (1995).
S. Hashemi, A. J. Kinloch, and G. Williams, “Mechanics and mechanisms of delamination in a poly(ether sulphone) — fibre composite,” Compos. Sci. Technol.,37, 426–429 (1990).
T. K. O'Brien, “Mixed-mode strain energy release rate effects on the edge delamination of composites,” ASTM STP 836, 125–142 (1984).
M. L. Benzeggagh, P. Davies, X. J. Gong, J. M. Roelandt, M. Mourin, and Y. L. Prel, “A mixed mode specimen for interlaminar fracture testing” Compos. Sci. Technol.,34, 129–143 (1989).
J. R. Reeder and J. H. Crews, Jr., “Mixed-mode bending method for delamination testing,” AIAA J.,28, 1270–1276 (1990).
A. J. Kinloch, Y. Wang, J. G. Williams, and P. Yayla, “The mixed mode delamination of fibre composite materials,” Compos. Sci. Technol.,47, 225–237 (1993).
S. Zhao, M. Gädke, and R. Prinz, “Mixed-mode delamination behavior of carbon/epoxy composites,” J. Reinf. Plast. Compos.,14, 804–826 (1995).
C. Hwu, C. J. Kao, and L. E. Chang, “Delamination fracture criteria for composite laminates,” J. Compos. Mater.,29, 1962–1987 (1995).
M. Arcan, Z. Hashin, and A. Voloshin, “A method to produce plane-stress states with application to fiber-reinforced materials,” Exper. Mech.,18, 141–146 (1978).
L. Banks-Sills, M. Arcan, and H. D. Bui, “Toward a pure shear specimen forK IIC determination,” Int. J. Fract.,22, R9-R14 (1983).
R. A. Jurf and R. B. Pipes, “Interlaminar fracture of composite materials,” J. Compos. Mater.,16, 386–394 (1982).
S. H. Yoon and C. S. Hong, “Interlaminar fracture toughness of graphite/epoxy under mixed mode deformations,” Exper. Mech.,30, 234–239 (1990).
A. Bansal and M. Kumosa, “Application of biaxial Iosipescu method to mixed-mode fracture of unidirectional composites,” Int. J. Fract.,71, 131–150 (1995).
H. A. Richard and K. A. Benitz, “A loading device for the creation of mixed mode in fracture mechanics,” Int. J. Fract.,22, R55-R58 (1983).
H. A. Richard, “Crack problems under complex loading,” in: G. C. Sih, H. Nisitani, and T. Ishihara (eds.), Role of Fracture Mechanics in Modern Technology. Proc. Int. Conference on the Role of Fracture Mechanics in Modern Technology, Fukuoka, Japan, 2–6 June, 1986, North-Holland, Amsterdam (1987), pp. 577–588.
Karlson Hibbitt, ABAQUS User's Manual, Version 5.3, Providence Rhode Island, Sorense Inc. (1993).
E. F. Rybicki and M. F. Kanninen, “A finite element calculation of stress intensity factors by modified crack closure integral,” Eng. Fract. Mech.,9, 931–938 (1977).
E. M. Wu, “Application of fracture mechanics to anisotropic plates,” J. Appl. Mech.,34, 967–974 (1967).
J. M. McKinney, “Mixed-mode fracture of unidirectional graphite/epoxy composites,” J. Compos. Mater.,6, 164–166 (1972).
G. C. Sih, “Strain-energy-density factor applied to mixed mode crack problems,” Int. J. Fract.,10, 305–321 (1974).
G. Di Leonardo, “Fracture toughness characterization of materials under multiaxial loading,” Int. J. Fract.,15, 537–552 (1979).
J. M. Whitney, “Experimental characterization of delamination fracture,” in: N. J. Pagano (ed.), Interlaminar Response of Composite Materials, Elsevier, Amsterdam (1989), pp. 161–250.
M. Charalambides, A. J. Kinloch, Y. Wang, and J. G. Williams, “On the analysis of mixed-mode failure,” Int. J. Fract.,54, 269–291 (1992).
H. A. Richard, “Safety estimation for construction units with cracks under complex loading,” in: H. P. Rossmanith (ed.), Structural Failure, Product Liability and Technical Insurance: Proc. 2nd Int. Conference, July 1–3, 1986, Vienna, Austria, Interscience Enterprises Ltd., Geneva (1987), pp. 423–437.
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 34, No. 3, pp. 307–322, May–June, 1998.
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Korjakin, A., Rikards, R., Buchholz, F.G. et al. Investigations of interlaminar fracture toughness of laminated polymeric composites. Mech Compos Mater 34, 223–234 (1998). https://doi.org/10.1007/BF02256041
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DOI: https://doi.org/10.1007/BF02256041