2004/02/29 by Hervé Henry, Herve Henry, Herbert Levine · 2 citations
Engineering · Materials Science · Physics and Astronomy · #Fluid Dynamics and Thin Films #Numerical methods in engineering #Solidification and crystal growth phenomena #cond-mat.other #nlin.PS #physics.comp-ph
paper · pdf · doi:10.1103/physrevlett.93.105504
published as Phys. Rev. Lett 93, 105504 (2004)
arxiv created 2004/06/11 · openalex publication_date 2004/09/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 biaxial load. Our model again reproduces well observed supercritical Hopf bifurcation and is therefore the first simulation which does so.