Ponson, Laurent and Bonamy, Daniel (2010) Crack propagation in brittle heterogeneous solids: Material disorder and crack dynamics. International Journal of Fracture, 162 (1-2). pp. 21-31. ISSN 0376-9429 http://resolver.caltech.edu/CaltechAUTHORS:20100709-164826782
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Crack propagation in a linear elastic material with weakly inhomogeneous failure properties is analyzed. An equation of motion for the crack is derived in the limit of slow velocity. Predictions of this equation on both the average crack growth velocity and its fluctuations are compared with recent experimental results performed on brittle heterogeneous materials (Ponson in Phys Rev Lett, 103, 055501; Måløy et al. in Phys Rev Lett, 96, 045501). They are found to reproduce quantitatively the main features of crack propagation in disordered systems. This theoretical framework provides new tools to predict life time and fracture energy of materials from their properties at the micro-scale.
|Additional Information:||© 2010 Springer Science+Business Media B.V. Received: 11 July 2009. Accepted: 13 March 2010. Published online: 7 April 2010. The authors would like to thank G. Cordeiro and A. Bindal for their help in the experiments and J.-B. Leblond, S. Santucci and R. Toledo for helpful discussions. L. P. is supported by the European Union through a Marie Curie fellowship (PhyCracks project).|
|Subject Keywords:||Inhomogeneous materials; Growth velocity of cracks; Velocity fluctuations|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Jason Perez|
|Deposited On:||13 Jul 2010 15:11|
|Last Modified:||26 Dec 2012 12:13|
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