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A Model of Crack Propagation in a 2D Heterogeneous Material

Published online by Cambridge University Press:  10 February 2011

P. Daguier ,
E. Bouchaud  and
G. Lapasset
P. Daguier
Affiliation:
O.N.E.R.A. (OM), 29 Avenue de la Division Leclerc, B.P. 72, 92322 Châtillon Cedex, FRANCE
E. Bouchaud
Affiliation:
O.N.E.R.A. (OM), 29 Avenue de la Division Leclerc, B.P. 72, 92322 Châtillon Cedex, FRANCE
G. Lapasset
Affiliation:
O.N.E.R.A. (OM), 29 Avenue de la Division Leclerc, B.P. 72, 92322 Châtillon Cedex, FRANCE
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Abstract

A continuous numerical model of pure mode I crack propagation in a bidimensional heterogeneous material is presented. This model describes the propagation of a macrocrack into a two-phases brittle material containing a finite density of second phase precipitates. The morphology of cracks produced for various mechanical and microstructural conditions is analysed. It is shown that the simulated cracks are self-affine with a roughness index ≃ 0.6 independent of the microstructure. Relevant length scales, on the contrary, strongly depend on the microstructural parameters, and indicate an optimum density leading to a maximum fracture toughness.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 463: Symposia EE – Statistical Mechanics in Physics and Biology , 1996 , 221
Copyright
Copyright © Materials Research Society 1997

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References

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