2019
DOI: 10.3390/lubricants7100091
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Spatiotemporal Dynamics of Frictional Systems: The Interplay of Interfacial Friction and Bulk Elasticity

Abstract: Frictional interfaces are abundant in natural and engineering systems, and predicting their behavior still poses challenges of prime scientific and technological importance. At the heart of these challenges lies the inherent coupling between the interfacial constitutive relation -the macroscopic friction law -and the bulk elasticity of the bodies that form the frictional interface. In this feature paper, we discuss the generic properties of the macroscopic friction law and the many ways in which its coupling t… Show more

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Cited by 15 publications
(11 citation statements)
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References 114 publications
(247 reference statements)
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“…Shear coupling describes the resulting normal motion of a grain boundary, if the two grains are shifted laterally against each other; see Figure 4. As a result, the upper grain "slides" along the lower one, similar to a frictional process [21,22]. As a consequence, the dashed marker line becomes discontinuous at the grain boundary.…”
Section: Precipitation Close To Shear-coupled Grain Boundariesmentioning
confidence: 98%
“…Shear coupling describes the resulting normal motion of a grain boundary, if the two grains are shifted laterally against each other; see Figure 4. As a result, the upper grain "slides" along the lower one, similar to a frictional process [21,22]. As a consequence, the dashed marker line becomes discontinuous at the grain boundary.…”
Section: Precipitation Close To Shear-coupled Grain Boundariesmentioning
confidence: 98%
“…The elasto-frictional length L c can be determined using a systematic linear stability analysis [10,33], which is very briefly reviewed in Appendix B. Here we are mainly interested in the scaling structure of L c , taking the form…”
Section: Coarsening Dynamics: the Selection Of Pulse Train Periodicitymentioning
confidence: 99%
“…where F(X ) ∼ X for X 1 and F(X ) ∼ √ X for X 1 [10], with X ≡ −µD/(σ 0 Hv 0 df ss /dv 0 ). X clearly manifests the coupled bulk-interface nature of L c , incorporating the shear modulus µ of the bodies in contact, their height H (a geometric/extrinsic length), the applied normal stress σ 0 , the mesoscopic interfacial length D and the constitutive interfacial property v 0 df ss /dv 0 = dfss(v0) dlog v < 0.…”
Section: Coarsening Dynamics: the Selection Of Pulse Train Periodicitymentioning
confidence: 99%
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“…Our study focuses on 2‐D antiplane shear sliding of a layer over half‐space, which has received some attention (Aldam et al, 2017; Bar‐Sinai et al, 2013, 2019; Lipovsky & Dunham, 2017; Ranjith, 2014; Viesca, 2016a), but, in general, has been less thoroughly studied than interfaces in a whole space. We perform both linear stability analysis with uniform frictional properties and nonlinear sequence simulations involving a velocity‐weakening region on an otherwise velocity‐strengthening interface.…”
Section: Introductionmentioning
confidence: 99%