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Macroscopic sliding between two solids is triggered by the propagation of amicro-slip front along the frictional interface. In certain conditions, slidingis preceded by the propagation of aborted fronts, spanning only part of thecontact interface. The selection of the characteristic size spanned by thoseso-called precursors remains poorly understood. Here, we introduce a 1D toymodel of precursors between a slider and a track in which the fronts arequasi-static self-healing slip pulses. When the slider's thickness is largecompared to the elastic correlation length and when the interfacial stiffnessis small compared with the bulk stiffness, we provide an analytical solutionfor the length of the first precursor, {\Lambda}, and the shear stress fieldassociated with it. These quantities are given as a function of the bulkmaterial parameters, the frictional properties of the interface and themacroscopic loading conditions. Analytical results are in quantitativeagreement with the numerical solution of the model. In contrast with previousmodels, our model predicts that {\Lambda} does not depend on the frictionalbreaking threshold of the interface. Our results should be relevant to thevarious systems in which self-healing slip pulses have been observed.

Propagation Length of Self-healing Slip Pulses at the Onset of Sliding: A Toy Model