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Analysis of intersonic crack growth in unidirectional fiber-reinforced composites

Huang, Y. and Wang, W. and Liu, C. and Rosakis, A. J. (1999) Analysis of intersonic crack growth in unidirectional fiber-reinforced composites. Journal of the Mechanics and Physics of Solids, 47 (9). pp. 1893-1916. ISSN 0022-5096. doi:10.1016/S0022-5096(98)00124-0.

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Recent experiments on dynamic fracture of unidirectional fiber-reinforced graphite/epoxy composite materials showed that, in Mode I, the crack tip velocity could never exceed the shear wave speed, while the crack tip velocity in Mode II not only exceeded the shear wave speed but also approached a stable velocity at which the crack grew for a substantial period of time in experiments. The experimentally obtained fringe patterns also clearly showed the existence of shear shock waves when the crack tip velocity exceeded the shear wave speed. In the present study, we have obtained the asymptotic fields near an intersonically propagating crack tip. It is shown that Mode-I intersonic crack propagation is impossible because the crack tip energy release rate supplied by the elastic asymptotic field is negative and unbounded, which is physically unacceptable since a propagating crack tip cannot radiate out energy. For Mode II, however, it is established that there exists a single crack tip velocity (higher than the shear wave speed) that gives a finite and positive crack tip energy release rate. At all other intersonic crack tip speeds the energy release rate supplied by the elastic asymptotic field is identically zero. This critical crack tip velocity agrees well with the stable crack tip velocity observed in experiments. The synthetically obtained fringe patterns based on the asymptotic field also agree with experimentally obtained fringe patterns, particularly on the existence of the shock waves.

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Rosakis, A. J.0000-0003-0559-0794
Additional Information:© 1999 Elsevier. Received 5 August 1998, Accepted 9 December 1998, Available online 1 July 1999. Y.H. gratefully acknowledges insightful discussions with Professor Gao at Stanford University and the support from NSF (Grant No. DMI 96-10454, CMS 98-96285), The Motorola Foundation and The Ford Foundation. A.J.R. acknowledges the support from ONR (Grant No. N00014-95-1-0453) and NSF (Grant No. MSS-90-24838). A.J.R. also acknowledges Professor Achenbach at Northwestern University for a series of helpful discussions on the question of admissibility of intersonic crack growth. The authors are grateful to Mr Samudrala at Caltech for the technical assistance.
Funding AgencyGrant Number
Motorola FoundationUNSPECIFIED
Ford FoundationUNSPECIFIED
Office of Naval Research (ONR)N00014-95-1-0453
Subject Keywords:Intersonic crack growth; Unidirectional composites
Issue or Number:9
Record Number:CaltechAUTHORS:20170408-164322770
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Official Citation:Y. Huang, W. Wang, C. Liu, A.J. Rosakis, Analysis of intersonic crack growth in unidirectional fiber-reinforced composites, Journal of the Mechanics and Physics of Solids, Volume 47, Issue 9, 1999, Pages 1893-1916, ISSN 0022-5096, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:76239
Deposited By: 1Science Import
Deposited On:08 Mar 2018 23:53
Last Modified:15 Nov 2021 16:58

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