Abstract
Prior to considering crack-face bridging, the stress/strain-field ahead of the crack tip in the compact tension (CT) geometry is numerically assessed by means of finite element method (FEM). The stress field along the crack line which has a decreasing profile of tensile stresses from the crack tip converts to monotonically increasing compressive stresses toward the back face of the CT specimen via a rotational center. Based on these stress-field analyses, a novel crack-face bridging model for fiber-reinforced brittle matrix composites is presented. The application of the model to the experimental result of a 2D-C/C composite enables one to estimate the crack-face fiber bridging stresses and their distribution profile.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Sakai and R. C. Bradt, Int. Mater. Rev. 38, 53 (1993).
M. Sakai, in The Centennial Issue of The Ceramic Society of Japan (1991), Vol. 99, p. 983.
A. Wanner, R. Rizzo, and K. Kromp, in Toughening Mechanisms in Quasi-Brittle Materials, edited by S. P. Shah (Kluwer Academic Publishers, Dordrecht, The Netherlands, 1991), pp. 405–423.
M. D. Thouless, J. Am. Ceram. Soc. 71, 408 (1988).
K. T. Faber, W-H. Gu, H. Cai, and R. A. Winholtz, in Toughening Mechanisms in Quasi-Brittle Materials, edited by S. P. Shah (Kluwer Academic Publishers, Dordrecht, The Netherlands, 1991), pp. 3–17.
B. Harris, Metal. Sci. August-September, 351 (1980).
C. H. Hsueh and P. F. Becher, J. Am. Ceram. Soc. 71, C234 (1988).
M. Sakai, T. Miyajima, and M. Inagaki, Composite Sci. Technol. 40, 231 (1991).
R. W. Steinbrech, A Reichl, and W. Schaarwächter, J. Am. Ceram. Soc. 73, 2009 (1990).
R. M. L. Foote, Y. W. Mai, and B. Cotterell, J. Mech. Phys. Solids 34, 593 (1986).
B. Cotterell and Y. M. Mai, J. Mater. Sci. 22, 2734 (1987).
R. Ballarini, S. P. Shah, and L. M. Keer, Eng. Fract. Mech. 20, 433 (1984).
R. M. L. Foote, Y. W. Mai, and B. Cotterell, J. Mech. Phys. Solids. 34, 593 (1986).
Y. W. Mai and B.R. Lawn, J. Am. Ceram. Soc. 70, 289 (1987).
X. Z. Hu, E. H. Lutz, and M. V. Swain, J. Am. Ceram. Soc. 74, 1828 (1991).
X. Z. Hu and Y. W. Mai, J. Mater. Sci. 27, 3502 (1992).
E. H. Lutz and M. Sakai, J. Am. Ceram. Soc. 76, 3113 (1994).
T. Suzuki and M. Sakai, Int. J. Fract. 65, 329 (1994).
S. T. Rolfe and J. M. Barsom, Fracture and Fatique Control in Structures (Prentice-Hall, Inc., Englewood Cliffs, NJ, 1977), Chap. 1.
D. L. Chen, B. Weiss, and R. Stickler, Int. J. Fract. 55, R3 (1992).
D. L. Chen, B. Weiss, R. Stickler, A. Hadroboletz, and Z. G. Wang, in Proceedings of 1st Materials Science Symposium, edited by D. L. Chen et al. [Chinese Association of Science and Technology in Austria (CASTA), Vienna, 1993], pp. 20–31.
D. L. Chen, B. Weiss, and R. Stickler, Int. J. Fract. 55, R3 (1992).
C. H. Liu and H. A. Mang, Int. J. Fract. 63, R67 (1993).
Frank Zok, in Toughening Mechanisms in Quasi-Brittle Materials, edited by S. P. Shah (Kluwer Academic, Dordrecht, The Netherlands, 1991), pp. 425–439.
J. C. Amazigo and B. Budiansky, J. Mech. Phys. Solids. 36, 581 (1988)
J. W. Cao and M. Sakai, Carbon (1996, in press).
B. Budiansky, J. C. Amazigo, and A. G. Evans, J. Mech. Phys. Solids. 36, 167 (1988).
D. S. Farquhar, S. L. Phoenix, and R. Raj, Acta Metall. Mater. 42, 65 (1994).
G. C. Sih, Mechanics of Fracture Initiation and Propagation (Kluwer Academic Publishers, Dordrecht, The Netherlands, 1991), pp. 213–270.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cao, JW., Sakai, M. Crack-face fiber bridging: Finite element analysis, analytical model, and experimental result. Journal of Materials Research 11, 1537–1544 (1996). https://doi.org/10.1557/JMR.1996.0192
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1557/JMR.1996.0192