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| Titel |
Progressive damage, scaling and critical phenomena toward the failure |
| VerfasserIn |
Lucas Girard, David Amitrano, Jérôme Weiss |
| Konferenz |
EGU General Assembly 2010
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 12 (2010) |
| Datensatznummer |
250038748
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| Zusammenfassung |
| Fracture is a multiscale phenomenon, from the scale of individual crystals (microm to mm) to the scale of plate tectonics or of the Arctic sea ice cover (beyond 1000 km). To predict the failure of a sample, a structure, or a geophysical object is a long-standing problem of fundamental importance in engineering or in geophysics (e.g. to tentatively predict earthquakes). Here, the critical point hypothesis for fracture is tested using a progressive damage model. The advantage of this model, based on continuum mechanics, is the possibility to track the approach to final failure either in terms of discrete events (the avalanches) or of the resulting continuous strain field. Different but actually closely linked phenomena are reported. In terms of damage avalanches, power law distributions of avalanche sizes and energies are observed associated to a finite size scaling. The finite size scaling is also observed for the spatial correlations of damage events. A divergence of the correlation length is reported in the vicinity of final failure, from a correlation analysis of discrete events and from a scaling analysis of the continuous strain-rate field. We also show that multifractal properties of the deformation emerge from the long range elastic interactions that occur near final failure. All these results argue for a critical point interpretation of failure. Finally, we discuss the implications of our results on the criticality of fracture and deformation of geophysical objects, and on associated precursory phenomena. |
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