2020/10/14 by Tom Vincent-Dospital, Vincent-Dospital, Tom, Alain Cochard +7
Chemical Engineering · Materials Science · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Material Dynamics and Properties #Materials Science (cond-mat.mtrl-sci) #Rheology and Fluid Dynamics Studies #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2010.06865
openalex publication_date 2020/10/14 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
We present a subcritical fracture growth model, coupled with the elastic\nredistribution of the acting mechanical stress along rugous rupture fronts. We\nshow the ability of this model to quantitatively reproduce the intermittent\ndynamics of cracks propagating along weak disordered interfaces. To this end,\nwe assume that the fracture energy of such interfaces (in the sense of a\ncritical energy release rate) follows a spatially correlated normal\ndistribution. We compare various statistical features from the hence obtained\nfracture dynamics to that from cracks propagating in sintered\npolymethylmethacrylate (PMMA) interfaces. In previous works, it has been\ndemonstrated that such approach could reproduce the mean advance of fractures\nand their local front velocity distribution. Here, we go further by showing\nthat the proposed model also quantitatively accounts for the complex\nself-affine scaling morphology of crack fronts and their temporal evolution,\nfor the spatial and temporal correlations of the local velocity fields and for\nthe avalanches size distribution of the intermittent growth dynamics. We thus\nprovide new evidence that Arrhenius-like subcritical growth laws are\nparticularly suitable for the description of creeping cracks.\n