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Unconventional singularities, scale separation and energy balance in frictional rupture
- Source :
- Nature Communications 12, 2585 (2021)
- Publication Year :
- 2020
-
Abstract
- A widespread framework for understanding frictional rupture, such as earthquakes along geological faults, invokes an analogy to ordinary cracks. A distinct feature of ordinary cracks is that their near edge fields are characterized by a square root singularity, which is intimately related to the existence of strict dissipation-related lengthscale separation and edge-localized energy balance. Yet, the interrelations between the singularity order, lengthscale separation and edge-localized energy balance in frictional rupture are not fully understood, even in physical situations in which the conventional square root singularity remains approximately valid. Here we develop a macroscopic theory that shows that the generic rate-dependent nature of friction leads to deviations from the conventional singularity, and that even if this deviation is small, significant non-edge-localized rupture-related dissipation emerges. The physical origin of the latter, which is predicted to vanish identically in the crack analogy, is the breakdown of scale separation that leads an accumulated spatially-extended dissipation, involving macroscopic scales. The non-edge-localized rupture-related dissipation is also predicted to be position dependent. The theoretical predictions are quantitatively supported by available numerical results, and their possible implications for earthquake physics are discussed.<br />Comment: Revised presentation, no change in content (10 pages, 5 figures)
Details
- Database :
- arXiv
- Journal :
- Nature Communications 12, 2585 (2021)
- Publication Type :
- Report
- Accession number :
- edsarx.2008.04697
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1038/s41467-021-22806-9