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We study the dynamic behaviour of 1D spring-block models of friction when theexternal loading is applied from a side, and not on all blocks like in theclassical Burridge-Knopoff-like models. Such a change in the loading yieldsspecific difficulties, both from numerical and physical viewpoints. To addresssome of these difficulties and clarify the precise role of a series of modelparameters, we start with the minimalistic model by Maegawa et al. (Tribol.Lett. 38, 313, 2010) which was proposed to reproduce their experiments aboutprecursors to frictional sliding in the stick-slip regime. By successivelyadding (i) an internal viscosity, (ii) an interfacial stiffness and (iii) aninitial tangential force distribution at the interface, we manage to (i) avoidthe model's unphysical stress fluctuations, (ii) avoid its unphysicaldependence on the spatial resolution and (iii) improve its agreement with theexperimental results, respectively. Based on the behaviour of this improved 1Dmodel, we develop an analytical prediction for the length of precursors as afunction of the applied tangential load. We also discuss the relationshipbetween the microscopic and macroscopic friction coefficients in the model.

1D model of precursors to frictional stick-slip motion allowing for robust comparison with experiments