Dynamic instabilities of fracture under biaxial strain using a phase field model

Details Dynamic instabilities of fracture under biaxial strain using a phase field model Dynamic instabilities of fracture under biaxial strain using a phase field model

2004-02-23

arxiv.org/abs/cond-mat/0402563v2

Phys. Rev. Lett 93, 105504 (2004)

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevLett.93.105504

We present a phase field model of the propagation of fracture under plane strain. This model, based on simple physical considerations, is able to accurately reproduce the different behavior of cracks (the principle of local symmetry, the Griffith and Irwin criteria, and mode-I branching). In addition, we test our model against recent experimental findings showing the presence of oscillating cracks under bi-axial load. Our model again reproduces well observed supercritical Hopf bifurcation, and is therefore the first simulation which does so.

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