Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-14T07:26:36.929Z Has data issue: false hasContentIssue false
  • English
  • Français

Mechanics of Matrix Cracking in Bonded Composites

Published online by Cambridge University Press:  05 May 2011

Y.-C. Chiang
Y.-C. Chiang*
Affiliation:
Department of Mechanical Engineering, Chinese Culture University, Taipei, Taiwan 11114, R.O.C.
*
*Associate Professor
Get access

Abstract

In this paper, a general matrix cracking model including the effect of fiber/matrix debonding in the crack wake is developed for a unidirectional fiber reinforced composite. The debonding mechanics is incorporated into matrix cracking model by treating the crack-wake debonding as a particular crack propagation problem along the interface. Then, the closed-form analytical solution of the critical stress for the onset of widespread matrix cracking is derived, based on the analysis of steady state crack growth in the matrix. The fracture mechanics approach adopted in the present analysis is compared with the analysis in which the crack-wake debonding mechanics was modeled by energy balance approach. The conditions for attaining no-debonding and debonding as onset of widespread matrix cracking are discussed in terms of the interfacial properties of debond toughness and frictional shear stress. The theoretical results are compared with experimental data that are available in the literature.

Keywords

Matrix crackingDebond toughnessFrictional shear stress
Type
Articles
Information
Journal of Mechanics , Volume 23 , Issue 2 , June 2007 , pp. 95 - 106
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2007

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.Curtin, W. A., “Stress-Strain Behavior of Brittle Matrix Composites,” Comprehensive Composite Materials Volume 4, Elsevier Science Ltd., pp. 47–76 (2000).CrossRefGoogle Scholar
2.Kostopoulos, V. and Pappas, Y. Z., “Toughening Mechanisms in Long Fiber Ceramic Matrix Composites,” Comprehensive Composite Materials Volume, 4, Elsevier Science Ltd., pp. 95–114 (2000).CrossRefGoogle Scholar
3.He, M. Y. and Hutchinson, J. W., “Kinking of a Crack Out of an Interface,” J. Appl. Mech., 56, pp. 270–278 (1989).Google Scholar
4.Budiansky, B. J., Hutchinson, W. and Evans, A. G., “Matrix Fracture in Fiber-Reinforced Ceramics,” J. Mech. Phys. Solids., 34(2), pp. 167–189 (1986).CrossRefGoogle Scholar
5.Gao, Y. C., Mai, Y. W. and Cotterell, B., “Fracture of Fiber-Reinforced Materials,” J. Applied Mathematics and Physics (ZAMP), 39(7), pp. 550–572 (1988).Google Scholar
6.Hutchinson, J. W. and Jensen, H. M., “Models of Fiber Debonding and Pullout in Brittle Composites with Friction,” Mechanics of Materials, 9, pp. 139–163 (1990).CrossRefGoogle Scholar
7.Aveston, J., Cooper, G. A. and Kelly, A., “Single and Multiple Fracture,” Properties of Fiber Composites: Conference on Proceedings, National Physical Laboratory, IPC, England, pp. 15–26 (1971).Google Scholar
8.Aveston, J. and Kelly, A., “Theory of Multiple Fracture of Fibrous Composites,” J. Mat. Sci., 8(3), pp. 352–362 (1973).Google Scholar
9.Chiang, Y. C., “On Crack-Wake Debonding in Fiber Reinforced Ceramics,” Engi. Frac. Mech., 65(1), pp. 15–28 (2000).Google Scholar
10.Stang, H. and Shah, S. P., “Failure of Fibre-reinforced Composites by Pull-Out fracture,” J. Mat. Sci., 21(3), pp. 953–957(1986).Google Scholar
11.Marshall, D. B. and Oliver, W. C., “Measurement of Interfacial Mechanical Properties in Fiber-Reinforced Ceramic Composites,” J. Am. Ceram. Soc., 70 pp. 542–546 (1987).Google Scholar
12.Sutcu, M. and Hillig, W. B., “The Effect of Fiber-Matrix Debond Energy on the Matrix Cracking Strength and the Debond Shear Strength,” Acta Metall., 38(12), pp. 2653–2662 (1990).Google Scholar
13.Chiang, Y. C., Wang, A. S. D. and Chou, T. W., “On Matrix Cracking in Fiber Reinforced Ceramics,” J. Mech. Phys. Solids, 41(7), pp. 1137–1154 (1993).CrossRefGoogle Scholar
14.Lawrence, P. L., “Some Theoretical Considerations of Fibre Pull-Out from an Elastic Matrix,” J. Mat. Sci., 7(1), pp. 1–6 (1972).Google Scholar
15.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(11), pp. 2038–2047 (1973).Google Scholar
16.Barsoum, M. W., Kangutkar, P. and Wang, A. S. D., “Matrix Cracking Initiation in Ceramic Matrix Composites, Part I Experiment and Test Results,” Comp. Sci. Tech., 44, pp. 257–269 (1992).CrossRefGoogle Scholar
17.Marshall, D. B. and A., G. Evans A., “Failure Mechanisms in Ceramic-Fiber/Ceramic Matrix Composites,” J. m. Ceram. Soc., 68(5), pp. 225–231 (1985).Google Scholar
18.Nardone, V. C. and Prewo, K. M., “Tensile Performance of Carbon Reinforced Glass,” J. Mat. Sci., 23(1), pp. 168–180 (1988).CrossRefGoogle Scholar
19.Phillips, D. C., “Fibre Reinforced Ceramics,” In: Kelly, A., Mileiko, S. T., editors. Handbook of Composites, 4, Elsevier (1983).Google Scholar