laboratoire de physique statistique
 
 
laboratoire de physique statistique

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INTERNATIONAL JOURNAL OF FRACTURE 


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2009
Thermal fracture as a framework for quasi-static crack propagation - Corson, F. and Adda-Bedia, M. and Henry, H. and Katzav, E.
INTERNATIONAL JOURNAL OF FRACTURE 1581-14 (2009)

Abstract : We address analytically and numerically the problem of crack path prediction in the model system of a crack propagating under thermal loading. We show that one can explain the instability from a straight to a wavy crack propagation by using only the principle of local symmetry and the Griffith criterion. We then argue that the calculations of the stress intensity factors can be combined with the standard crack propagation criteria to obtain the evolution equation for the crack tip within any loading configuration. The theoretical results of the thermal crack problem agree with the numerical simulations we performed using a phase field model. Moreover, it turns out that the phase-field model allows to clarify the nature of the transition between straight and oscillatory cracks which is shown to be supercritical.
 
2007
Theory of dynamic crack branching in brittle materials - Katzav, E. and Adda-Bedia, M. and Arias, R.
INTERNATIONAL JOURNAL OF FRACTURE 143245-271 (2007)

Abstract : The problem of dynamic symmetric branching of a tensile crack propagating in a brittle material is studied within Linear Elastic Fracture Mechanics theory. The Griffith energy criterion and the principle of local symmetry provide necessary conditions for the onset of dynamic branching instability and for the subsequent paths of the branches. The theory predicts a critical velocity for branching and a well defined shape described by a branching angle and a curvature of the side branches. The model rests on a scenario of crack branching based on reasonable assumptions and on exact dynamic results for the anti-plane branching problem. Our results reproduce within a simplified 2D continuum mechanics approach the main experimental features of the branching instability of fast cracks in brittle materials.