In this paper we explore the advantages gained in discussing stick-slip-like models in the context of simple mathematically-continuous friction laws. One such law is chosen and analysed in detail. ‘Quaking behaviour’ is observed for this mathematical model and the parameters governing its behaviour are found to be two dimensionless numbers, both of which are smaller than 1 for behaviour most like earthquakes. A laboratory realization of the mathematical model is described and is observed to exhibit quaking behaviour.
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Whitehead et al. (1974) studied this question.
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