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Evaluation of energy release rate-based approaches for predicting delamination growth in laminated composites

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Abstract

A variety of energy release rate-based approaches are evaluated for their accuracy in predicting delamination growth in unidirectional and multidirectional laminated composites. To this end, a large number of unidirectional and multidirectional laminates were tested in different bending and tension configurations. In all cases, the critical energy release rate was determined from the tests in the most accurate way possible, such as by compliance calibration or the area method of data reduction. The mode mix from the tests, however, was determined by a variety of different approaches. These data were then examined to determine whether any of the approaches yielded the result that toughness was a single-valued function of mode mix. That is, for an approach to have accurate predictive capabilities, different test geometries that are predicted to be at the same mode mix must display the same toughness. It was found that variously proposed singular field-based mode mix definitions, such as the β=0 approach or basing energy release rate components on a finite amount of crack extension, had relatively poor predictive capabilities. Conversely, an approach that used a previously developed crack tip element analysis and which decomposed the total energy release rate into non-classical components was found to have excellent predictive capabilities. It is postulated that this approach is more appropriate for many present-day laminated composites.

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References

  • Bassani, J.L. and Qu, J. (1989). Finite crack on bimaterial and bicrystal interfaces. Journal of the Mechanics and Physics of Solids 37, 435–453.

    Google Scholar 

  • Beuth, J.L. (1996). Separation of crack extension modes in orthotropic delamination models. International Journal of Fracture 77, 305–321.

    Google Scholar 

  • Bhashyam, S. and Davidson, B.D. (1997). Evaluation of data reduction methods for the mixed-mode bending test. AIAA Journal 35 (3), 546–552.

    Google Scholar 

  • Bialaszewski, R.D. (2000). Evaluation of classical and non-classical energy release rate-based approaches for predicting delamination growth in laminated composites. M. S. Thesis, Syracuse University.

  • Charalambides, M., Kinloch, A.J., Wang, Y. and Williams, J.G. (1992). On the analysis of mixed-mode failure. International Journal of Fracture 54, 269–291.

    Google Scholar 

  • Davidson, B.D. (1990). An analytical investigation of delamination front curvature in double cantilever beam specimens. Journal of Composite Materials 24 (11), 1124–1137.

    Google Scholar 

  • Davidson, B.D. (1995). Prediction of energy release rate for edge delamination using a crack tip element approach. Composite Materials: Fatigue and Fracture - Fifth Volume, ASTM STP 1230, R.H. Martin, Ed., American Society for Testing and Materials, 155–175.

  • Davidson, B.D., Fariello, P.L., Hudson, R.C. and Sundararaman, V. (1997). Accuracy assessment of the singular field-based mode mix decomposition procedure for the prediction of delamination. Composite Materials: Testing and Design (Thirteenth volume), ASTM STP 1242, S.J. Hooper, Ed., American Society for Testing and Materials, 109–128.

  • Davidson, B.D. and Hu, H. (1995). Effect of interlayer modulus on fracture mode ratio for interleaved composite laminates. Engineering Fracture Mechanics 52(2), 243–253.

    Google Scholar 

  • Davidson, B.D., Hu, H. and Schapery, R.A. (1995). An analytical crack tip element for layered elastic structures. Journal of Applied Mechanics 62(6), 243–253.

    Google Scholar 

  • Davidson, B.D. and Krafchak, T.M. (1993). Analysis of instability-related delamination growth using a crack tip element. AIAA Journal 31(11), 2130–2136.

    Google Scholar 

  • Davidson, B.D., Krüger, R. and König, M. (1995a). Three dimensional analysis and resulting design recommendations for unidirectional and multidirectional end-notched flexure tests. Journal of Composite Materials 29(16), 2108–2133.

    Google Scholar 

  • Davidson, B.D., Krüger, R. and König, M. (1995b). Three dimensional analysis of center delaminated unidirectional and multidirectional single leg bending specimens. Composites Science and Technology 54(4), 385–394.

    Google Scholar 

  • Davidson, B.D., Krüger, R. and König, M. (1996). Effect of stacking sequence on energy release rate distributions in multidirectional DCB and ENF specimens. Engineering Fracture Mechanics 55(4), 557–569.

    Google Scholar 

  • Davidson, B.D. and Sundararaman, V. (1996). A single leg bending test for interfacial fracture toughness determination. International Journal of Fracture 78(2), 193–210.

    Google Scholar 

  • Davidson, B.D., Yu, L. and Hu, H. (2000). Determination of energy release rate and mode mix in three-dimensional layered structures using plate theory. International Journal of Fracture, (To Appear).

  • Hashemi, S., Kinloch, A.J. and Williams, J.G. (1991). Mixed-mode fracture in fiber-polymer composite laminates. Composite Materials: Fatigue and Fracture (Third Volume), ASTM STP 1110, T.K. O'Brien, Ed., American Society for Testing and Materials, 143–168.

  • Hwu, C. and Hu, J. S. (1992). Stress intensity factors and energy release rates of delaminations in composite laminates. Engineering Fracture Mechanics 42(6), 977–988.

    Google Scholar 

  • Jordan, W.M. and Bradley, W.L. (1987). Micromechanisms of fracture in toughened graphite-epoxy laminates. Toughened Composites, ASTM STP 937, N.J. Johnston, Ed., American Society for Testing and Materials, 95–114.

  • Jordan, W.M., Bradley, W.L. and Moulton, R.J. (1989). Relating resin mechanical properties to composite delamination toughness. Journal of Composite Materials 23, 923–942.

    Google Scholar 

  • Kinloch, A.J., Wang, Y., Williams, J.G. and Yayla, P. (1993). The mixed-mode delamination of fibre composite materials. Composites Science and Technology 47(3), 225–237.

    Google Scholar 

  • O'Brien, T.K. (1990). Towards a damage tolerance philosophy for composite materials and structures. Composite Materials: Testing and Design (Ninth Volume), ASTM STP 1059, S.P. Garbo, Ed., American Society for Testing and Materials, 7–33.

  • Polaha, J.J., Davidson, B.D., Hudson, R.C. and Pieracci, A. (1996). Effects of mode ratio, ply orientation and precracking on the delamination toughness of a laminated composite. Journal of Reinforced Plastics and Composites 15(2), 141–173.

    Google Scholar 

  • Reeder, J.R. (1993). A bilinear failure criterion for mixed-mode delamination. Composite Materials: Testing and Design (Eleventh Volume), ASTM STP 1206, E.T. Camponeschi, Jr., Ed., American Society for Testing and Materials, 303–322.

  • Raju, I.S., Crews, J.H. Jr. and Aminpour, M.A. (1988). Convergence of strain energy release rate components for edge-delaminated composite laminates. Engineering Fracture Mechanics 30(3), 383–396.

    Google Scholar 

  • Rybicki, E.F. and Kanninen, M.F. (1977). A finite element calculation of stress intensity factors by a modified crack closure integral. Engineering Fracture Mechanics 9, 931–938.

    Google Scholar 

  • Sun, C.T. and Manoharan, M.G. (1989). Strain energy release rates of an interfacial crack between two orthotropic solids. Journal of Composite Materials 23, 460–478.

    Google Scholar 

  • Sundararaman, V. and Davidson, B.D. (1998). An unsymmetric end-notched flexure test for interfacial fracture toughness determination. Engineering Fracture Mechanics 60(3), 361–377.

    Google Scholar 

  • Suo, Z.G. (1990). Singularities, interfaces, and cracks in dissimilar anisotropic media. Proceedings of the Royal Society of London A427, 331–358

    Google Scholar 

  • Whitney, J.M. (1987). Structural analysis of laminated anisotropic plates. Technomic.

  • Whitney, J.M., Daniel, I.M. and Pipes, R.B. (1984). Experimental mechanics of fiber reinforced composite materials. Revised Edition, Society for Experimental Mechanics.

  • Yu, L. and Davidson, B.D. (2000). A three-dimensional crack tip element for energy release rate determination in layered elastic structures. Journal of Composite Materials, (To Appear).

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Davidson, B.D., Gharibian, S.J. & Yu, L. Evaluation of energy release rate-based approaches for predicting delamination growth in laminated composites. International Journal of Fracture 105, 343–365 (2000). https://doi.org/10.1023/A:1007647226760

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