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 158, 1-14 (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.