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On the Modelling of Inelastic Interfaces in Fibrous Composites

Published online by Cambridge University Press:  21 February 2011

Vellore S. Gopalaratnam
Affiliation:
Assistant Professor Department of Civil Engineering, 1047 Engineering Complex, Columbia, Missouri 65211, U.S.A.
Jin-Cheng
Affiliation:
Graduate Research Assistant University of Missouri-Columbia, Department of Civil Engineering, 1047 Engineering Complex, Columbia, Missouri 65211, U.S.A.
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Abstract

The classical fiber pull-out problem has been formulated in onedimension with a view to focus on the nonlinear interfacial response. The fiber and the cocentric matrix are assumed to behave elastically. The local interfacial bond-slip characteristic has been idealized to be elastic-linear softening. This greatly simplifies the otherwise implicit governing differential equation of the debonding process. Solutions to the fiber axial force and interfacial shear stress along the embedded length of the fiber have been obtained by applying appropriate boundary and continuity conditions. The stability of the debonding process has been investigated by varying the fundamental characteristics of the fiber-matrix interface, the fiber embedment length and the fiber diameter. The analytical model has been successfully used to predict many of the characteristics experimentally observed in fibrous composites that fail by fiber pull-out.

Type
Research Article
Copyright
Copyright © Materials Research Society 1988

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References

REFERENCES

1. Gopalaratnam, V.S. and Shah, S.P., J. Eng. Mech. Div., ASCE, 113, (5), 635652 (1987).CrossRefGoogle Scholar
2. Gopalaratnam, V.S. and Shah, S.P., Sp. Pub. 105, ACI, 25 pp. (1987), in press.Google Scholar
3. Mindess, S., Fracture Mechanics of Concrete, edited by Wittmann, F.H., (Elsevier Science Publishers, Amsterdam, 1983), pp. 481501.Google Scholar
4. Dharani, L., Micromechanical Models for Failure Mechanics in Brittle Materials, Final Report submitted to Systran Corp., Univ. Mo.-Rolla, 48 pp., (1987).Google Scholar
5. Aveston, J., Cooper, G.A. and Kelly, A., The Properties of Fibre Composites (IPC Science and Technology Press Ltd., London, 1971), pp. 1526.Google Scholar
6. Aveston, J., Mercer, R.A. and Sillwood, J.M., Composites, Standards, Testing and Design, (Nat. Phy. Lab. Conf. Proc., London, 1974), pp. 93103.Google Scholar
7. Lawrence, P., J. Mat. Sci. 7, 16, (1972).Google Scholar
8. Gopalaratnam, V.S. and Abu-Mathkour, H., Cem. Conc. Res., submitted for publication, (1987).Google Scholar
9. Stang, H. and Shah, S.P., J. Mat. Sci., 21, (3), 953957, (1986).Google Scholar
10. Gopalaratnam, V.S. and Sahudin, A.H., Int. J. Num. Methods Eng., submitted for publication (1987).Google Scholar
11. Morrison, J.K., Jenq, Y.S. and Shah, S.P., J. Eng. Mech. Div., ASCE, 11 (2), to appear (1988).Google Scholar
12. Gopalaratnam, V.S. and Jin-Cheng, , J. Eng. Mech. Div., ASCE, submitted for publication (1988).Google Scholar
13. Naaman, A.E. and Shah, S.P., J. Struct. Div., ASCE, 102, (8), 15371548, (1976).Google Scholar
14. Gray, R.J., J. Mat. Sci., 19, pp. 16801691, (1984).Google Scholar