Abstract
This study sheds light on the small-scale interaction of a three-dimensional matrix crack with a fiber. The experiments with a model brittle-matrix/brittle-fiber system record the three-dimensional growth history of an initially penny-shaped fracture which quasi-statically propagates toward and around a cylindrical inclusion. Crack growth histories are obtained by hydraulically fracturing a cement matrix with embedded glass rods. These experimentally determined crack patterns support micromechanical computational simulations which were conducted using a three-dimensional surface integral method. The implications for tailoring interfacial friction to increase the crack resistance of brittle materials (e.g., ceramic matrix/ceramic fiber composites) are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Evans, A.G., “Perspective on the Development of High-toughness Ceramics,”J. Am. Ceram. Soc.,73 (2),187–206 (1990).
Hutchinson, J.W., andJensen, H.M., “Models of Fiber Debonding and Pullout in Brittle Composites with Friction,”Mech. Mat.,9,139–163 (1990).
Budiansky, B. andAmazigo, J.C., “Toughening by Aligned, Frictionally Constrained Fibers,”J. Mech. Phys. Sol.,37 (1),93–109 (1988).
Dollar, A. andSteif, P.S., “A Tension Crack Impinging upon Frictional Interfaces,”J. Appl. Mech.,56,291–298 (1989).
Lam, K.Y. andCleary, M.P., “Slippage and Re-initiation of (Hydraulic) Fractures at Frictional Interfaces,”Int. J. Numer. Anal. Meth. Geomech.,8,589–604 (1984).
Fares, N., “Crack Fronts Trapped by Arrays of Obstacles: Numerical Solutions Based on Surface Integral Representation,”J. Appl. Mech.,56,837–843 (1989).
Bower, A.F. andOrtiz, M., “A Three-dimensional Analysis of Crack Trapping and Bridging by Tough Particles,”J. Mech. Phys. Sol.,39 (6),815 (1991).
Gao, H. andRice, J.R., “A First-order Perturbation Analysis of Crack Trapping by Arrays of Obstacles,”J. Appl. Mech.,56,828 (1989).
Mower, T.M. andArgon, A.S., “Experimental Investigation of Crack Trapping in Brittle Heterogeneous Solids,”Mech. Mat.,19 (4),343–364 (1995).
Evans, A.G., “The Strength of Brittle Materials Containing Second Phase Dispersions,”Phil. Mag. A,26,1327–1344 (1972).
Larson, M.C., “Fracture Propagation near a Frictionally-constrained Fiber Interface,”Int. J. Composites Eng.,5,25–36 (1995).
Johnson, D.E. and Cleary, M.P., “Implications of Recent Laboratory Experimental Results for Hydraulic Fractures,” SPE Paper No. 21846 (1991).
Parthasarathy, T.A., Jero, P.D. andKerans, R.J., “Extraction of Interface Properties from a Fiber Push-out Test, Scripta Metall. Mat.,25 (11),2457–2462 (1991).
Hsueh, C.-H., “Interfacial Debonding and Fiber Pull-out Stresses of Fiber-reinforced Composites III. With Residual Radial and Axial Stresses,”Mat. Sci. Eng. A,A145(2),135–142 (1991).
Keat, W.D., Annigeri, B.S., andCleary, M.P., “Surface Integral and Finite Element Hybrid Method for Two-and Three-dimensional Fracture Mechanics Analysis,”Int. J. Fract.,36,35–53 (1988).
Love, A.E.H., A Treatise on the Mathematical Theory of Elasticity, Dover, New York (1984).
Khanna, S.K. andShukla, A., “Energy Absorption Mechanisms During Dynamic Fracturing of Fibre-reinforced Composites, J. Mat. Sci.,28,3722–3730 (1993).
Evans, A.G., “Perspective on the Development of High-toughness Ceramics,”J. Am. Ceram. Soc.,73(2),187–206 (1990).
Khanna, S.K. andShukla, A., “Influence on Fiber Inclination and Interfacial Conditions on Fracture in Composite Materials,” EXPERIMENTAL MECHANICS,34(2),171–180 (1994).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Larson, M.C. Experimental and computational models for three-dimensional crack-fiber interactions. Experimental Mechanics 37, 445–451 (1997). https://doi.org/10.1007/BF02317312
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02317312