Hostname: page-component-76fb5796d-r6qrq Total loading time: 0 Render date: 2024-04-25T20:32:20.271Z Has data issue: false hasContentIssue false
  • English
  • Français

Stress Transfer from Axially Loaded Fiber to Matrix in a Microcomposite

Published online by Cambridge University Press:  15 February 2011

Chun-Hway Hsueh
Chun-Hway Hsueh*
Affiliation:
Metals and Ceramics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831
Get access

Abstract

The shear lag model has been used extensively to analyze the stress transfer in a singe fiberreinforced composite (i.e., a microcomposite). To achieve analytical solutions, various simplifications have been adopted in the stress analysis. Questions regarding the adequacy of those simplifications are discussed in the present study for the following two cases: bonded interfaces and frictional interfaces. Specifically, simplifications regarding (1) Poisson's effect, and (2) the radial dependences of axial stresses in the fiber and the matrix are addressed. For bonded interfaces, the former can be ignored, and the latter can generally be ignored. However, when the volume fraction of the fiber is high, the radial dependence of the axial stress in the fiber should be considered. For frictional interfaces, the latter can be ignored, but the former should be considered; however, it can be considered in an average sense to simplify the analysis. Comparisons among results obtained from analyses with various simplifications are made.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 365: Symposium M – Ceramic Matrix Composites–Advanced High-Temperature Structural Materials , 1994 , 217
Copyright
Copyright © Materials Research Society 1995

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Evans, A. G. and McMeeking, R. M., Acta Metall., 34 (12), 2435–2441 (1986).Google Scholar
2. Becher, P. F., Hsueh, C. H., Angelini, P. and Tiegs, T. N., J. Am. Ceram. Soc., 71 (12), 1050–1061 (1988).Google Scholar
3. Cox, H. L., , Brit. J. Appl. Phy., 3, 72 (1952).Google Scholar
4. Lawrence, P., J. Mater. Sci., 7 (1) 1–6 (1972).Google Scholar
5. Takaku, A. and Arridge, R. G. C., J. Phys. D: Appl. Phys., 6, 2038 (1973).Google Scholar
6. Piggott, M. R., Load Bearing Fiber Composites, (Pergamon Press, Elmsford, NY, 1980), p. 62.Google Scholar
7. Budiansky, B., Hutchinson, J. W. and Evans, A. G., J. Mech. Phys. Solids, 34 (2), 167–89 (1986).Google Scholar
8. Hsueh, C. H., J. Mater. Sci. Lett., 7 (5), 497–500 (1988).Google Scholar
9. Gao, Y. C., Mai, Y. W. and Cotterell, B., J. Appl. Math. and Phys. (ZAMP), 39 (7), 550–72 (1988).Google Scholar
10. Shetty, D. K., J. Am. Ceram. Soc., 71 (2), C107–109 (1988).Google Scholar
11. Kerans, R. J. and Parthasarathy, T. A., J. Am. Ceram. Soc., 74 (7), 1585–1596 (1991).Google Scholar
12. Kim, J. K., Baillie, C., and Mai, Y. W., J. Mater. Sci., 27, 3143 (1992).Google Scholar
13. Hsueh, C. H., J. Mater. Sci. Lett., 10 (1), 29–32 (1991).Google Scholar
14. Grande, D. H., Mandell, J. F. and Hong, K. C. C., J. Mater. Sci., 23 (1), 311–328 (1988).Google Scholar
15. McCartney, L. N., Proc. Roy. Soc. Lond., A425, 215 (1989).Google Scholar
16. Hsueh, C. H., J. Am. Ceram. Soc., 71 (6), 490–493 (1988).Google Scholar
17. Hsueh, C. H., Mater. Sci. and Eng., A154 (7), 125–132 (1992).Google Scholar
18. Hsueh, C. H., Mater. Sci and Eng., A123 (1), 1–11 (1990).Google Scholar
19. Hutchinson, J. W. and Jenson, H. M., Mech. Mater., 9, 139 (1990).Google Scholar
20. Hsueh, C. H., J. Mater. Sci. Lett., 8 (6), 739–42 (1989).Google Scholar
21. Bowling, J. and Groves, G. W., J. Mater. Sci., 14, 431 (1979).Google Scholar
22. Jero, P. D., Kerans, R. J., and Parthasarathy, T. A., J. Am. Ceram. Soc., 74 (11), 2793–801 (1991).Google Scholar
23. Mackin, T. J., Warren, P. D. and Evans, A. G., Acta Metall. Mater., 40 (6), 1251–1257 (1992).Google Scholar
24. Hsueh, C. H., Mater. Sci. and Eng., A161 (3), L1–L6 (1993).Google Scholar
25. Hsueh, C. H., Mater. Sci and Eng., A125 (5), 67–73 (1990).Google Scholar
26. Ferber, M. K., Wereszczak, A. A., Hansen, D. H. and Homeny, J., Comp. Sci. Tech., 49, 23 (1993).Google Scholar
27. Hsueh, C. H., J. Am. Ceram. Soc., 76 (12), 3041–50 (1993).Google Scholar