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The influence of crack trapping on the toughness of fiber reinforced composites

Xu, G. and Bower, A. F. and Ortiz, M. (1998) The influence of crack trapping on the toughness of fiber reinforced composites. Journal of the Mechanics and Physics of Solids, 46 (10). pp. 1815-1833. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171213-095546620

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Abstract

Frictional crack bridging is the main mechanism of toughening in brittle fiber\brittle matrix composites. In addition, the fibers may have a second beneficial effect : they tend to trap cracks propagating through the solid, and may cause them to arrest. The effectiveness of crack trapping increases with the fracture toughness of the interface between fibers and matrix. In contrast, crack bridging tends to be more effective if the interface between fibers and matrix has a low fracture toughness. In this paper, we study the competing effects of crack trapping and bridging in a brittle fiber\brittle matrix composite. A numerical method is used to predict in three dimensions the path of a crack as it bypasses rows of fibers in an ideally brittle matrix. The results are used to deduce the influence of crack trapping on the toughness of the composite. In addition, a simple model of frictional crack bridging is used to compare the relative effects of crack trapping and bridging. It is shown that, in general, the influence of bridging greatly exceeds that of trapping. However, if the fibers have a low tensile strength and there is a large resistance to sliding between fibers and matrix, crack trapping can be significant : in this case, the best composite toughness is achieved by using a tough interface between fibers and matrix.


Item Type:Article
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URLURL TypeDescription
https://doi.org/10.1016/S0022-5096(98)00059-3DOIArticle
http://www.sciencedirect.com/science/article/pii/S0022509698000593PublisherArticle
Additional Information:© 1998 Elsevier. Received 20 December 1997, Revised 18 March 1998. This work was supported by the Materials Research Group on Micromechanics of Failure Resistant Materials at Brown University, which is funded by the National Science Foundation under Grant No. DMR-9223683.
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NSFDMR-9223683
Record Number:CaltechAUTHORS:20171213-095546620
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20171213-095546620
Official Citation:G. Xu, A.F. Bower, M. Ortiz, The influence of crack trapping on the toughness of fiber reinforced composites, In Journal of the Mechanics and Physics of Solids, Volume 46, Issue 10, 1998, Pages 1815-1833, ISSN 0022-5096, https://doi.org/10.1016/S0022-5096(98)00059-3. (http://www.sciencedirect.com/science/article/pii/S0022509698000593)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83870
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:13 Dec 2017 22:22
Last Modified:13 Dec 2017 22:22

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