Study of the branching instability using a phase field model of inplane crack propagationH. Henry
PMC, Ecole Polytechnique, CNRS - 91128 Palaiseau, France, EU
received 23 April 2008; accepted in final form 20 May 2008; published July 2008
published online 17 June 2008
In this study, the phase field model of crack propagation is used to study the dynamic branching instability in the case of inplane loading in two dimensions. Simulation results are in good agreement with theoretical predictions and experimental findings. Namely, the critical speed at which the instability starts is about 0.48cs. They also show that a full 3D approach is needed to fully understand the branching instability. The finite interface effects are found to be neglectable in the large system size limit even though they are stronger than the one expected from a simple one-dimensional calculation.
62.20.mm - Fracture.
46.15.-x - Computational methods in continuum mechanics.
62.20.mt - Cracks.
© EPLA 2008