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@ARTICLE{Aldam:845022,
      author       = {Aldam, Michael and Weikamp, Marc and Spatschek, Robert and
                      Brener, Efim A. and Bouchbinder, Eran},
      title        = {{C}ritical {N}ucleation {L}ength for {A}ccelerating
                      {F}rictional {S}lip},
      journal      = {Geophysical research letters},
      volume       = {44},
      number       = {22},
      issn         = {0094-8276},
      address      = {Hoboken, NJ},
      publisher    = {Wiley},
      reportid     = {FZJ-2018-02351},
      pages        = {11,390 - 11,398},
      year         = {2017},
      abstract     = {The spontaneous nucleation of accelerating slip along
                      slowly driven frictional interfaces is central to a broad
                      range of geophysical, physical, and engineering systems,
                      with particularly far‐reaching implications for earthquake
                      physics. A common approach to this problem associates
                      nucleation with an instability of an expanding creep patch
                      upon surpassing a critical length Lc. The critical
                      nucleation length Lc is conventionally obtained from a
                      spring‐block linear stability analysis extended to
                      interfaces separating elastically deformable bodies using
                      model‐dependent fracture mechanics estimates. We propose
                      an alternative approach in which the critical nucleation
                      length is obtained from a related linear stability analysis
                      of homogeneous sliding along interfaces separating
                      elastically deformable bodies. For elastically identical
                      half‐spaces and rate‐and‐state friction, the two
                      approaches are shown to yield Lc that features the same
                      scaling structure, but with substantially different
                      numerical prefactors, resulting in a significantly larger Lc
                      in our approach. The proposed approach is also shown to be
                      naturally applicable to finite‐size systems and bimaterial
                      interfaces, for which various analytic results are derived.
                      To quantitatively test the proposed approach, we performed
                      inertial Finite‐Element‐Method calculations for a
                      finite‐size two‐dimensional elastically deformable body
                      in rate‐and‐state frictional contact with a rigid body
                      under sideway loading. We show that the theoretically
                      predicted Lc and its finite‐size dependence are in
                      reasonably good quantitative agreement with the full
                      numerical solutions, lending support to the proposed
                      approach. These results offer a theoretical framework for
                      predicting rapid slip nucleation along frictional
                      interfaces.},
      cin          = {PGI-2 / IEK-2},
      ddc          = {550},
      cid          = {I:(DE-Juel1)PGI-2-20110106 / I:(DE-Juel1)IEK-2-20101013},
      pnm          = {144 - Controlling Collective States (POF3-144)},
      pid          = {G:(DE-HGF)POF3-144},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000419102300020},
      doi          = {10.1002/2017GL074939},
      url          = {https://juser.fz-juelich.de/record/845022},
}