Birthe Grzemba

DOI Number
First page
Last page


The Dieterich-Ruina friction law is widely used in rock friction and earthquake dynamical contexts. It has proven very powerful and versatile over the last decades, being able to reproduce stick-slip as well as fore- and aftershocks and healing of faults. This paper shows that the Dieterich-Ruina friction law can also reproduce the accelerated creep process preceding slip event in a stick-slip system, not only for steel contact, but also for rock contact. The friction law relies on three empirical parameters, which have to be identified for each application. The most common experimental set-up is the velocity step experiment. In this paper an alternative method to identify the parameters is proposed, which uses a stick-slip experiment and a numerical fitting approach.

Full Text:



Dieterich, J.H. 1978, Time Dependent Friction and the Mechanics of Stick—Slip, Pure and Applied Geophysics, 116, pp. 790-806.

Dieterich, J.H., 1979, Modeling of Rock Friction, Part 1: Experimental Results and Constitutive Equations, Journal of Geophysical Research, 84(B5), pp. 2161-2168.

Ruina, A.L., 1980, Friction Laws and Instabilities: A Quasistatic Analysis of Some Dry Frictional Behavior, Brown University, Ph.D. dissertation.

Ruina, A.L., 1983, Slip Instability and State Variable Friction Law. Journal of Geophysical Research, 88(B12), pp. 10359-10370.

Tse, S.T., Rice, J.R., 1986, Crustal Earthquake Instability in Relation to the Depth Variation on Frictional Slip Properties. Journal of Geophysical Research, 91(B9), pp. 9452-9472

Marone, C., Scholz, C.H., 1988, The depth of seismic faulting and the upper transition from stable to unstable slip regimes, Geophysical Research Letters, 15, pp. 621-624.

Dieterich, J.H., 1992, Earthquake Nucleation on faults with rate and state-dependent strength, Tectonophysics, 211, pp. 115-134.

Beeler, N.M., Tullis, T.E., Weeks, J.D., 1994, The Role of Time and Displacement in the Evolution Effect of Rock Frictio, Geophysical Research Letters, 21, pp. 1987-1990.

Dieterich, J.H., Kilgore, B.D., 1996, Implications of fault constitutive properties for earthquake prediction, Proceedings of the National Academy of Sciences, 93, pp. 3787-3794.

Scholz, C.H. 1998, Earthquakes and Friction Law, Nature, 391, pp. 37-42.

Ampuero, J.-P., Rubin, A.M., 2008, Earthquake nucleation on rate and state faults - Aging and slip laws, Journal of Geophysical Research: Solid Earth, 113, p. B01302.

Bizzarri, A., Crupi, P., de Lorenzo, S., Loddo, M., 2011, Time Occurence of Earthquake Instabilities in Rate-and-State Dependent Friction Model, INGV, UNIVERSITÀ DEGLI STUDI DI BARI, Rapporti Technici.

Persson, B., 2000, Sliding friction: Principles and Applications, Springer Verlag, Berlin, 2nd edition.

Popov, V.L., 2010, Contact Mechanics and Friction, Springer Verlag, Berlin.

Dieterich, J.H. 2007, Applications of Rate- and State-Dependent Friction to Models of Fault Slip and Earthquake Occurrence, Treatise on Geophysics, 4, pp. 107-129.

Marone, C., 1998, Laboratory--Derived Friction Laws and their Application to Seismic Faulting, Annual Review of Earth and Planetary Sciences, 26, pp. 643-696.

Dieterich, J.H., Kilgore, B.D., 1994, Direct Observation of Frictional Contacts: New Insights for State--dependent Properties, Pure and Applied Geophysics, 143, pp. 283-302.

Scholz, C.H., 1988, The Critical Slip Distance for Seismic Faulting, Nature, 336, pp. 761-763.

Grzemba, B., Pohrt, R., Teidelt, E., Popov, V.L., 2014, Maximum micro-slip in tangential contact of randomly rough self-affine surfaces, Wear, 309, pp. 256-258.

den Hartog, S.A.M., Niemeijer, A.R., Spiers, C.J. 2012, New constraints on megathrust slip stability under subduction zone P-T conditions, Earth and Planetary Science Letters, 353-354, pp. 240-252.

Ikari, M.J., Saffer, D.M., 2011, Comparison of fricitonal strength and velocity dependence between fault zones in the Nankai accretionary complex, G3: Geochemistry, Geophysics, Geosystems, 12, p. Q0AD11.

den Hartog, S.A.M., Spiers, C.J. 2013, Influence of subduction zone conditions and gouge composition on frictional slip stability of megathrust faults, Tectonophysics, 600, pp. 75-90.

Blok, H. 1940, Fundamental Mechanical Aspects of Boundary Lubrication, SAE Journal Transactions, 46, pp. 54-68.

Derjaguin, B.V., Push, V.E., Tolstoi, D.M., 1957, A theory of stick--slip sliding of solids, The institution of mechanical engineers, Proceedings of The Conference on Lubrication and Wear. pp. 257-268.

Rabinowicz, E. 1958, The Intrinsic Variable affecting the Stick--Slip Process, Proceedings of the Physical Society, 71, pp. 668-675.

Rice, J.R., Ruina, A.L. 1983, Stability of Steady Frictional Slipping, Journal of Applied Mechaincs, 50, pp. 343-349.

Gu, J.-C., Rice, J.R., Ruina, A.L., Tse, S.T., 1984, Slip Motion and Stability of a Single Degree of Freedom Elastic System with Rate and State Dependent Friction, Journal of the Mechanics and Physics of Solids, 32, pp. 167-196.

Popov, V.L., Grzemba, B., Starcevic, J., Popov, M., 2012, Rate and state dependent friction laws and the prediction of earthquakes: What can we learn from laboratory models? Tectonophysics, 532-535, pp. 291-300.

Grzemba, B., 2014, Predictability of Element Models for Earthquake Prediction, Technische Universität Berlin, Ph.D. dissertation.


  • There are currently no refbacks.

ISSN: 0354-2025 (Print)

ISSN: 2335-0164 (Online)

COBISS.SR-ID 98732551

ZDB-ID: 2766459-4