TY - JOUR
AU - Brener, Efim A.
AU - Bouchbinder, Eran
TI - Unconventional singularities and energy balance in frictional rupture
JO - Nature Communications
VL - 12
IS - 1
SN - 2041-1723
CY - [London]
PB - Nature Publishing Group UK
M1 - FZJ-2021-02751
SP - 2585
PY - 2021
AB - 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.
LB - PUB:(DE-HGF)16
C6 - 33972526
UR - <Go to ISI:>//WOS:000678721800003
DO - DOI:10.1038/s41467-021-22806-9
UR - https://juser.fz-juelich.de/record/893679
ER -