Existing constitutive laws of rock friction cannot describe both observed strengthening in the absence of slip and frictional behavior around steady‐state sliding. Combining existing rate‐ and state‐dependent friction laws, we propose a new friction law, which expresses logarithmically time‐dependent healing at sliding velocities smaller than a cut‐off velocity V c and approaches the so‐called slip law at velocities larger than V c . Numerical simulations show that the new friction law adequately explains experimental results of velocity stepping tests and slide‐hold‐slide tests, which have widely been used to examine velocity‐, time‐, and displacement‐dependent property of rock friction. Because the new friction law has a simple form and appears appropriate for a wide range of conditions, it is useful for application to numerical modeling of seismic cycles.
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Kato et al. (2001) studied this question.
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