Sage Journals: Discover world-class research

Abstract

A model for elastic stress transfer across the interface in composites has been developed in particular to overcome the known problem of the matrix effective radius. Stresses were determined using a two dimensional method by introducing a novel hypothesis of structural response of the matrix. This is in contrast to previous approaches, which mainly consider that the axial derivative of axial stress does not depend upon the radius. This leads to a new form of the stress transfer equation, free of an adjustable parameter. This analysis was applied to linear elastic single fibre and single platelet composites. The comparison of the two reinforcements allowed the identification of a structural parameter for which the two geometries are shown to be equivalent. The model was validated using literature results obtained by Raman spectroscopy means or photo-elastic methods. The agreement between measured data and the model showed the relevance of the matrix structural response approach to stress transfer.

Keywords

stress transfer single fibre single platelet mechanical properties structural response interface

Get full access to this article

View all access options for this article.

References

1. Cox, H.L. , 1952. "The elasticity and strength of paper and other fibrous materials," Br. J. Appl. Phys., 3(march): p. 72

2. Piggot, M.R. , 1980. "Reinforcement processes," in Load bearingfibre composites. Pergamon Press: pp. 83-99.

3. Chamis, C.C. , 1974. "Mechanics of load transfer at the interface," in Interfaces in polymer matrix composites, E. P. Plueddemann , Editor: pp. 33-77.

4. Greszczuk, L.B. , 1969. "Theoretical studies of the mechanics of the fiber-matrix interface in composites," in Interfaces in composites, ASTM STP 452: pp. 42-58.

5. Herrera-Franco, P.J. and L.T. Drzal , 1992. "Comparison of methods for the measurement of fibre/matrix adhesion in composites," Composites, 23(1): pp. 2-27.

6. Drzal, L.T. and M. Madhukar , 1993. "Fibre-matrix adhesion and its relationship to composite mechanical properties," J. Mater. Sci., 28: pp. 569-610.

7. Korabel'nikov, Y.A. et al. , 1987. "Basic laws governing the mechanical properties of filler fibers in a unidirectional composite," Mekhanika Kompozitnykh Materialov (translation), 23(2): pp. 270-274.

8. Rashkovan, I.A. and Y.A. Korabel'nikov , 1993. "Realization of properties of the fibrous reinforcement in unidirectional thermoplastic composites," Mekhanika Kompozitnykh Materialov (translation), 29(1): pp. 61-65.

9. Whitney, J.M. and L.T. Drzal , 1987. "Axisymmetric stress distribution around an isolated fiber fragment," in Toughened composites, N.J. Johnston , Editor, ASTM: Philadelphia: pp. 179-196.

10.

10. Nairn, J.A. 1992. "A variational mechanics analysis of the stresses around breaks in embedded fibers," Mech. Mater., 13: pp. 131-154.

11.

11. Monette, L. , M.P. Anderson and G.S. Grest , 1993. "Effect of interphase modulus and cohesive energy on the critical aspect ratio in short-fibre composites," J. Mater. Sci., 28: p. 79.

12.

12. Hsueh, C.H. , 1989. "Analytical analyses of stress transfer in fibre-reinforced composites with bonded and debonded fibre ends," J. Mater. Sci., 24: pp. 4475-4482.

13.

13. Hsueh, C.-H. , 1994. "A Two-Dimensional Stress Transfer Model for Platelet Reinforcement," Comp. Eng., 4(10): pp. 1033-1043.

14.

14. Mendels, D.-A. , Y. Leterrier and J.-A.E. MAnson . "Modelling of the microbond test, including thermal stresses and their relaxation," to be submitted to J. Comp. Mater.

15.

15. Timoshenko, G. , 1970. Theory of Elasticity: McGraw-Hill.

16.

16. Nairn, J.A. , 1997. "On the use of shear-lag methods for analysis of stress transfer in unidirectional composites," Mech. Mater., 26: pp. 63-80.

17.

17. Huang, Y. and R.J. Young . 1995. "Interfacial behaviour in high temperature cured carbon fibre/epoxy resin model composite," Composites, 26(8): pp. 541-550.

18.

18. Galiotis, C. , 1991. "Interfacial studies on model composites by laser Raman spectroscopy," Comp. Sci. Tech., 42: pp. 125-150.

19.

19. Tyson, W.R. and G.J. Davies , 1965. "A photoelastic study of the shear stresses associated with the transfer of stress during fibre reinforcement," Br. J. Appl. Phys., 16: pp. 199-205.

20.

20. Gorbatkina, Y.A. , 1992.Adhesivestrength offiber-polymersystems. New York: Ellis Horwood.

21.

21. Cervenka, A. , 1997. "Interphases and their effect on the stress field in composites: the role of a gradient in stiffness within the interphase,"

Proc. Europ. Conf% Macromol. Phys. "Surfaces and Interfaces in Polymers and Composites,"

Lausanne, June 1-6: pp. 81-82.

Stress Transfer Model for Single Fibre and Platelet Composites

Abstract

Keywords

Get full access to this article

References