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      Thermally activated intermittent dynamics of creeping crack fronts along disordered interfaces

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          Abstract

          We present a subcritical fracture growth model, coupled with the elastic redistribution of the acting mechanical stress along rugous rupture fronts. We show the ability of this model to quantitatively reproduce the intermittent dynamics of cracks propagating along weak disordered interfaces. To this end, we assume that the fracture energy of such interfaces (in the sense of a critical energy release rate) follows a spatially correlated normal distribution. We compare various statistical features from the obtained fracture dynamics to that from cracks propagating in sintered polymethylmethacrylate (PMMA) interfaces. In previous works, it has been demonstrated that such an approach could reproduce the mean advance of fractures and their local front velocity distribution. Here, we go further by showing that the proposed model also quantitatively accounts for the complex self-affine scaling morphology of crack fronts and their temporal evolution, for the spatial and temporal correlations of the local velocity fields and for the avalanches size distribution of the intermittent growth dynamics. We thus provide new evidence that an Arrhenius-like subcritical growth is particularly suitable for the description of creeping cracks.

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          Most cited references59

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          The Phenomena of Rupture and Flow in Solids

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            Yielding of steel sheets containing slits

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              Analysis of Stresses and Strains Near the End of a Crack Traversing a Plate

              G. Irwin (1957)
              A substantial fraction of the mysteries associated with crack extension might be eliminated if the description of fracture experiments could include some reasonable estimate of the stress conditions near the leading edge of a crack particularly at points of onset of rapid fracture and at points of fracture arrest. It is pointed out that for somewhat brittle tensile fractures in situations such that a generalized plane-stress or a plane-strain analysis is appropriate, the influence of the test configuration, loads, and crack length upon the stresses near an end of the crack may be expressed in terms of two parameters. One of these is an adjustable uniform stress parallel to the direction of a crack extension. It is shown that the other parameter, called the stress-intensity factor, is proportional to the square root of the force tending to cause crack extension. Both factors have a clear interpretation and field of usefulness in investigations of brittle-fracture mechanics.
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                Author and article information

                Contributors
                tom.vincent-dospital@fys.uio.no
                alain.cochard@unistra.fr
                renaud.toussaint@unistra.fr
                Journal
                Sci Rep
                Sci Rep
                Scientific Reports
                Nature Publishing Group UK (London )
                2045-2322
                14 October 2021
                14 October 2021
                2021
                : 11
                : 20418
                Affiliations
                [1 ]GRID grid.11843.3f, ISNI 0000 0001 2157 9291, ITES UMR 7063, , Université de Strasbourg, ; 67084 Strasbourg, France
                [2 ]GRID grid.5510.1, ISNI 0000 0004 1936 8921, SFF Porelab, The Njord Centre, Department of physics, , University of Oslo, ; Oslo, Norway
                [3 ]GRID grid.25697.3f, ISNI 0000 0001 2172 4233, ENS de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, , Université de Lyon, ; Lyon, France
                [4 ]GRID grid.415877.8, ISNI 0000 0001 2254 1834, Lavrentyev Institute of Hydrodynamics, , Siberian Branch of the Russian Academy of Sciences, ; Novosibirsk, Russia
                Article
                98556
                10.1038/s41598-021-98556-x
                8516960
                e1d24e31-2895-4d7f-beba-37b282cfd5fd
                © The Author(s) 2021

                Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 6 January 2021
                : 3 September 2021
                Funding
                Funded by: FundRef http://dx.doi.org/10.13039/501100003768, Université de Strasbourg;
                Funded by: FundRef http://dx.doi.org/10.13039/501100005366, Universitetet i Oslo;
                Funded by: IRP France-Norway D-FFRACT
                Funded by: Lavrentyev Institute of Hydrodynamics
                Award ID: 14.W03.31.0002
                Award Recipient :
                Funded by: Research Council of Norway
                Award ID: 262644
                Award Recipient :
                Funded by: FundRef http://dx.doi.org/10.13039/501100004794, Centre National de la Recherche Scientifique;
                Award ID: INSU ALEAS
                Award Recipient :
                Categories
                Article
                Custom metadata
                © The Author(s) 2021

                Uncategorized
                condensed-matter physics,statistical physics, thermodynamics and nonlinear dynamics

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