Skip to main content
Log in

Non-Axisymmetric Matrix Cracking and Interface Debonding with Friction in Ceramic Composites

  • Published:
Applied Composite Materials Aims and scope Submit manuscript

Abstract

A three-dimensional analytical model based on the principle of minimum potential energy is developed and applied to determine the stress state in a discrete fiber/matrix composite cylinder subjected to axial tensile loading in the fiber direction and containing a non-axisymmetric transverse matrix crack and an interface debond. The friction over the debonded interface is incorporated into the analysis. The strain energy release rates associated with the matrix crack and the interface debonding under the combination of the applied load and the interface frictional force are computed. The strain energy release rate criterion has been employed to evaluate the critical applied loads for the two fracture modes and to assess the competition between propagation of a matrix crack and growth of interface debonding. A parametric study has been carried out. The computed results show that the interface friction plays an important role in the failure of brittle matrix composites.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Aveston, J., Cooper, G. A. and Kelly, A., 'Single and Multiple Fracture', in The Properties of Fiber Composites Conference Proceedings, National Physical Laboratory, Teddington, U.K.IPC Science and Technology Press, Surrey, 1971, p. 15.

    Google Scholar 

  2. Aveston, J., 'Strength and Toughness of Fiber-Reinforced Ceramic', in The Properties of Fiber Composites Conference Proceedings, National Physical Laboratory, Teddington, U.K. IPC Science and Technology Press, Surrey, 1971, p. 16.

    Google Scholar 

  3. Aveston, J. and Kelly, A., 'Theory of Multiple Fracture of Fibrous Composites', J. Mater. Sci. 8, 1973, 352.

    Google Scholar 

  4. Marshall, D. B., Cox, B. N. and Evans, A. G., 'The Mechanics of Matrix Cracking in Brittle-Matrix Fiber Composites', Acta Metall. 33, 1985, 2013.

    Google Scholar 

  5. McCartney, L. N., 'Mechanics of Matrix Cracking in Brittle-Reinforced Composites', J. Roy. Soc. London A 409, 1987, 329.

    Google Scholar 

  6. Budiansky, B., Hutchinson, J. W. and Evans, A. G., 'Matrix Fracture in Fiber Reinforced Ceramics', J. Mech. Phys. Solids 34, 1987, 16.

    Google Scholar 

  7. Cox, H. L., 'The Elasticity and Strength Paper and Other Fibrous Materials', British J. Appl. Phys. 3, 1952, 72.

    Google Scholar 

  8. Hutchinson, J. W. and Jensen, H. M., 'Models of Fiber Debonding and Pull-out in Brittle Composites with Friction', Mech. Mater. 9, 1990, 139.

    Google Scholar 

  9. Kurtz, R. D. and Pagano, N. J., 'Analysis of the Deformation of a Symmetrically Loaded Fiber Embedded in a Matrix Material', Composites Engineering 1, 1991, 13.

    Google Scholar 

  10. Venkatakrishaiah, S. and Dharani, L. R., 'Analysis of an Axisymmetric Matrix Crack in a Single Fiber Composite', Eur. J. Mech., A/Solids 12, 1993, 567.

    Google Scholar 

  11. Kaw, A. K., Kunchithapatham, S. and Pagano, N. J., 'The Stress Field in a Cracked Brittle Matrix Composite Cylinder with a Frictional Interface', Int. J. Solids Structures 32, 1995, 2127.

    Google Scholar 

  12. Dharani, L. R., Chai, L. and Pagano, N. J., 'Steady State Cracking in Ceramic Matrix Composites', Comp. Sci. Technol. 39, 1990, 29.

    Google Scholar 

  13. Jones, W. F., On the Accuracy of Higher Order Shear Lag Model, Engineering Science Reprint ESP22/85046, Society of Engineering Science, 1985.

  14. Popejoy, D. B. and Dharani, L. R., 'Effect of Fiber Coating and Interfacial Debonding on Crack Growth in Fiber-Reinforced Composites', Theoret. Appl. Fracture Mech. 18, 1992, 73.

    Google Scholar 

  15. Botsis, J., Zhao, D. and Beldica, C., 'Strength and Fracture of Composites with Well Aligned Fibers', in Failure Mechanics in Advanced Polymeric Composites, ASME AMD, Vol. 196, 1994.

  16. Zhao, J. H. and Ji, F. S., 'Stress Analysis of Unidirectional Composites with a Surface Notch by Variational Principle', Engrg. Fract. Mech. 37, 1990, 727.

    Google Scholar 

  17. Dharani, L. R. and Ji, F. S., 'Non-Axisymmetric Matrix Cracking in Unidirectional Brittle Matrix Composites', Engrg. Fract. Mech. 53, 1996, 57.

    Google Scholar 

  18. Ji, F. S. and Dharani, L. R., 'Non-Axisymmetric Matrix Cracking and Interface Debonding in Unidirectional Brittle Matrix Composites', Eur. J. Mech., A/Solids 17, 1998, 253.

    Google Scholar 

  19. Lawrence, P., 'Some Theoretical Considerations of Fibre Pull-Out from an Elastic Matrix', J. Mater. Sci. 7, 1972, 1.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ji, F.S., Dharani, L.R. Non-Axisymmetric Matrix Cracking and Interface Debonding with Friction in Ceramic Composites. Applied Composite Materials 5, 379–397 (1998). https://doi.org/10.1023/A:1008820315282

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1008820315282

Navigation