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@ARTICLE{Brener:893679,
      author       = {Brener, Efim A. and Bouchbinder, Eran},
      title        = {{U}nconventional singularities and energy balance in
                      frictional rupture},
      journal      = {Nature Communications},
      volume       = {12},
      number       = {1},
      issn         = {2041-1723},
      address      = {[London]},
      publisher    = {Nature Publishing Group UK},
      reportid     = {FZJ-2021-02751},
      pages        = {2585},
      year         = {2021},
      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.},
      cin          = {IEK-2},
      ddc          = {500},
      cid          = {I:(DE-Juel1)IEK-2-20101013},
      pnm          = {1221 - Fundamentals and Materials (POF4-122)},
      pid          = {G:(DE-HGF)POF4-1221},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {33972526},
      UT           = {WOS:000678721800003},
      doi          = {10.1038/s41467-021-22806-9},
      url          = {https://juser.fz-juelich.de/record/893679},
}