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Modelling of stress transfer across the fibre—matrix interface

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Abstract

It is now widely accepted that the mechanical performance and structural reliability of fibre-reinforced composites are largely dependent on the physiochemical/morphological nature and the mechanical properties of the fibre-matrix interface. The response of the fibre-matrix interface upon loading of a composite, the stress transfer behaviour across the interface in particular, is a phenomenon requiring fundamental understanding in composite technology. Theoretical analyses on the issue of stress distributions and interface debond propagation in various loading geometries are essential to the knowledge of how the interface properties influence the mechanical performance and fracture behaviour of the composites [1].

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References

  1. Kim, J.K. and Mai, Y.W., Interfaces in composites. In Materials Science and Technology (Vol. 13, Structure and Properties of Fibre Composites) (ed. Chou, T.W.). VCH, Weinheim, 1993, pp. 229–289.

    Google Scholar 

  2. Cox, H.L., The elasticity and strength of paper and other fibrous materials. Brit. J. Appl. Phys., 3 (1952) 72–79.

    Article  Google Scholar 

  3. Greszczuk, L.B., Theoretical studies of the mechanics of the fibre-matrix interface in composites. In Interfaces in Composites (ASTM STP 452). ASTM, Philadelphia, PA, 1969, pp. 42–58.

    Google Scholar 

  4. Lawrence, P., Some theoretical considerations of fibre pull-out from an elastic matrix. J. Mater. Sci., 7 (1972) 1–6.

    Article  CAS  Google Scholar 

  5. Takaku, A. and Arridge, R.G.C., The effect of interfacial radial and shear stress on fibre pull-out in composite materials. J. Phys. D: Appl. Phys., 6 (1973) 2038–2047.

    Article  CAS  Google Scholar 

  6. Laws, V., Micromechanical aspects of the fibre-cement bond. Composites, 13 (1982) 145–151.

    Article  Google Scholar 

  7. Gray, R.J., Analysis of the effect of embedded fibre length on the fibre debonding and pull-out from an elastic matrix. J. Mater. Sci., 19 (1984) 861–870.

    Article  Google Scholar 

  8. Hsueh, C.H., Interfacial debonding and fibre pull-out stresses of fibre-reinforced composites. Mater. Sci. Engng, A123 (1988) 1–11.

    Google Scholar 

  9. Hsueh, C.H., Interfacial debonding and fibre pull-out stresses of fibre-reinforced composites. VII: Improved analyses for bonded interfaces. Mater. Sci. Engng, A154 (1992) 125–132.

    Article  Google Scholar 

  10. Leung, C.K.Y, and Li, V.C., A new strength-based model for the debonding of discontinuous fibres in an elastic matrix. J. Mater. Sci., 26 (1991) 5996–6100.

    Article  Google Scholar 

  11. Yue, C.Y. and Cheung, W.L., Interfacial properties of fibrous composites. J. Mater. Sci., 27 (1992) 3173–3180.

    Article  CAS  Google Scholar 

  12. Gurney, C. and Hunt, J., Quasi-static crack propagation. Proc. Royal Soc. London, A299 (1967) 508–524.

    Google Scholar 

  13. Outwater, J.D. and Murphy, M.C., On the fracture energy of unidirectional laminates. Paper 11C, presented at the 24th Annual Technical Conference of the Reinforced Plastics Composites Institute, SPI, New York, 1969.

    Google Scholar 

  14. Wells, J.K. and Beaumont, P.W.R., Debonding and pull-out processes in fibrous composites. J. Mater. Sci., 20 (1985) 1275–1284.

    Article  Google Scholar 

  15. Gao, Y.C., Mai, Y.W. and Cotterell, B., Fracture of fibre reinforced materials. J. Appl. Math. Phys. (ZAMP), 39 (1988) 550–557.

    Article  Google Scholar 

  16. Stang, H. and Shah, S.P., Failure of fibre-reinforced composites by pull-out fracture. J. Mater. Sci., 21 (1986) 953–957.

    Article  Google Scholar 

  17. Piggott, M.R., Debonding and friction at fibre-polymer interface. I: Criteria for failure and sliding. Comp. Sci. Technol., 30 (1987) 295–306.

    Article  CAS  Google Scholar 

  18. Hutchinson, J.W. and Jensen, H.M., Models for fibre debonding and pullout in brittle composites with friction. Meek. Mater., 9 (1990) 139–163.

    Article  Google Scholar 

  19. Keran, R.J. and Parthasarathy, T.A., Theoretical analysis of the fibre pullout and pushout tests. J. Am. Ceram. Soc., 74 (1991) 1585–1596.

    Article  Google Scholar 

  20. Sigl, L.S. and Evans, A.G., Effects of residual stress and frictional sliding on cracking and pull-out in brittle matrix composites. Mech. Mater., 8 (1989) 1–12.

    Article  Google Scholar 

  21. Marshall, D.B., Shaw, M.C. and Morris, W.L., Measurement of interfacial debonding and sliding resistance in fibre reinforced intermetallics. Acta Metall. Mater., 40 (1992) 443–454.

    Article  CAS  Google Scholar 

  22. Jiang, K.R. and Penn, L.S., Improved analysis and experimental evaluation of the single filament pull-out test. Comp. Sci. Technol. 45 (1992) 89–103.

    Article  CAS  Google Scholar 

  23. Zhou, L.M., Kim, J.K. and Mai, Y.W., Interfacial debonding and fibre pull-out stresses: Part II. A new model based on the fracture mechanics approach. J. Mater. Sci., 27 (1992) 3155–3166.

    Article  CAS  Google Scholar 

  24. Kim, J.K., Baillie, C. and Mai, Y.W., Interfacial debonding and fibre pull-out stresses: Part I. A critical comparison of existing theories with experiments. J. Mater. Sci., 27 (1992) 3143–3154.

    Article  CAS  Google Scholar 

  25. Zhou, L.M., Kim, J.K. and Mai, Y.W., Micromechanical characterization of fibre-matrix interface. Comp. Sci. Technol., 48 (1993) 227–236.

    Article  CAS  Google Scholar 

  26. Kim, J.K., Zhou, L.M. and Mai, Y.W., Techniques for studying composite interfaces. In Handbook of Advanced Materials Testing (ed. Cheremisinoff, N.P.). Marcel Dekker, New York, 1995, pp. 327–366.

    Google Scholar 

  27. Miller, B., Muri, P. and Rebenfeld, L., A microbond method for determination of the shear strength of a fibre/resin interface. Comp. Sci. Technol., 28 17–32.

    Google Scholar 

  28. Gaur, U. and Miller, B., Effects of Environmental exposure on fibre/epoxy interfacial shear strength. Polym. Comp., 11 (1989) 217–222.

    Article  Google Scholar 

  29. Herrera-Franco, P.J. and Drzal, L.T., Comparison of methods for the measurement of fibre/matrix adhesion in composites. Composites, 23 (1992) 2–27.

    Article  CAS  Google Scholar 

  30. Rao, V., Herrera-Franco, P., Ozzello, A.D. and Drzal, L.T., A direct comparison of the fragmentation test and the microbond pull-out test for determining the interfacial shear strength. J. Adhesion, 34 (1991) 65–77.

    Article  CAS  Google Scholar 

  31. Kim, J.K., Baillie, C. and Mai, Y.W., Instability of interfacial debonding during fibre pull-out. Scripta Metall. Mater., 25 (1991) 315–320.

    Article  CAS  Google Scholar 

  32. Kim, J.K., Zhou, L.M., Bryan, S.J. and Mai, Y.W., Effect of fibre volume fraction on the stress transfer in fibre pull-out tests. Composites, 25 (1994) 470–475.

    Article  Google Scholar 

  33. Tsai, H.C., Arocho, A.M. and Gauge, L.M., Prediction of fibre-matrix interphase properties and their influences on interface stress, displacement and fracture toughness of composite material. Mater. Sci. Engng., A126 (1990) 295–304.

    Article  CAS  Google Scholar 

  34. Zhou, L.M., Kim, J.K. and Mai, Y.W., On the single fibre pull-out problem: effect of loading methods. Comp. Sci. Technol., 45 (1993) 153–160.

    Article  Google Scholar 

  35. Hsueh, C.H., Embedded-end debond theory during fibre pull-out. Mater. Sci. Engng, A163 (1993) L1–L4.

    Article  Google Scholar 

  36. Betz, E., Experimental studies of the fibre pull-out problem. J. Mater. Sci., 17 (1982) 691–700.

    Article  Google Scholar 

  37. Gent, A.N. and Liu, G.L., Pull-out and fragmentation on model fibre composites. J. Mater. Sci., 26 (1991) 2467–2476.

    Article  CAS  Google Scholar 

  38. Grande, D.H., Mandell, J.F. and Hong, K.C.C., Fibre-matrix bond strength studies of glass, ceramic and metal matrix composites. J. Mater. Sci., 23 (1988) 311–328.

    Article  CAS  Google Scholar 

  39. Kim, J.K. and Mai, Y.W., High strength, high fracture toughness fibre composites with interface control — a review. Comp. Sci. Technol., 41 (1991) 333–378.

    Article  CAS  Google Scholar 

  40. Kim, J.K. and Mai, Y.W., The effect of interfacial coating and temperature on the fracture behaviours of unidirectional KFRP and CFRP. J. Mater. Sci., 26 (1991) 4701–4720.

    Google Scholar 

  41. Kim, J.K., Mai, Y.W. and Kennedy, B.J., Surface analysis of carbon fibres modified with PVAL coating and the composite interfaces. J. Mater. Sci., 27 (1992) 6811–6816.

    Article  CAS  Google Scholar 

  42. Kim, J.K. and Mai, Y.W., Micromechanics of fibre — matrix interface and fracture of advanced composites with engineered interfaces. In Fracture Mechanics (Vol. 25) (ASTM STP 1220) (eds Erdogan, F. and Hartranft, R.J.). ASTM, Philadelphia, PA, 1995, in press.

    Google Scholar 

  43. Broutman, L.J. and Agarwal, B.D., A theoretical study of the effect of an interface layer on the properties of composites. Polym. Engng Sci., 14 (1974) 581–588.

    Article  CAS  Google Scholar 

  44. Marom, G. and Arridge, G.C., Stress concentration and transverse modes of failure in composites with a soft fibre-matrix interlayer. Mater. Sci. Engng, 23 (1976) 23–32.

    Article  CAS  Google Scholar 

  45. Vedula, M., Pangborn, R.N. and Queeney, R.A., Modification of residual thermal stress in a metal matrix composite with the use of a tailored interfacial region. Composites, 19 (1988) 133–137.

    Article  CAS  Google Scholar 

  46. Arnold, S.M., Arya, V.K. and Melis, M.E., Reduction of thermal residual stresses in advanced metallic composites based on a compensating/compliant layer concept. J. Comp. Mater., 26 (1992) 1287–1309.

    Article  CAS  Google Scholar 

  47. Kim, J.K., Lu, S.V. and Mai, Y.W., Interfacial debonding and fibre pull-out stresses: Part IV. Influence of interface layer on the stress transfer. J. Mater. Sci., 29 (1994) 554–561.

    Article  CAS  Google Scholar 

  48. Daabin, A., Gamble, A.J. and Sumner, N.D., The effect of the interphase and material properties on load transfer in fibre composites. Composites, 23 (1992) 210–214.

    Article  Google Scholar 

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Kim, JK., Mai, YW. (1996). Modelling of stress transfer across the fibre—matrix interface. In: Bull, J.W. (eds) Numerical Analysis and Modelling of Composite Materials. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0603-0_10

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  • DOI: https://doi.org/10.1007/978-94-011-0603-0_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4266-6

  • Online ISBN: 978-94-011-0603-0

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