Abstract
The paper presents a comparison between experimental observations of stick-slip behaviours of glass beads reproduced in laboratory and numerical simulation obtained by two-dimensional discrete element model able to reproduce the stick-slip dynamics. A triaxial experimental set-up has been used to investigate the stick-slip response of granular matter under quasi-static loading. On the other hand the Particle Flow Code (PFC2D) has been used in this article that performs numerical simulation of stick-slip behaviour of granular matter. The model is used to simulate biaxial compression experiment on dry specimen of glass beads. Once the results are well in agreement with laboratory data, a parametric study is performed to investigate the evolution of the model’s behaviour due to varying parameters such as vertical strain rate, coefficient of friction and particle stiffness. The results show an increase in critical state strength in the models with higher vertical strain rate, bigger coefficient of friction and higher particle stiffness. A new algorithm is developed to record the sliding work and sliding velocity induced by seismic events in the sample.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Brace, W.F., Byerlee, J.D.: Stick-slip as a mechanism for earthquakes. Science 153(3739), 990–992 (1966)
Adjemian, F., Evesque, P.: Experimental study of stick-slip behaviour. Int. J. Numer. Anal. Met. 28(6), 501–530 (2004)
Doanh, T., et al.: Stick-slip behaviour of model granular materials in drained triaxial compression. Granul. Matter. 15(1), 1–23 (2013). https://doi.org/10.1007/s10035-012-0384-6
Krim, J., et al.: Stick-slip and the transition to steady sliding in a 2D granular medium and a fixed particle lattice. Pure. Appl. Geophys. 168(12), 2259–2275 (2011)
Lubkin, G.B.: Experiments find hysteresis and precursors in the stick-slip friction of a granular system. Phys. Today 50(9), 17–19 (1997)
Lieou, C.K.C., et al.: Stick-slip instabilities in sheared granular flow: the role of friction and acoustic vibrations. Phys. Rev. E. 92(2) (2015)
Janssen, R., Verwijs, M.: Why does the world need a true triaxial tester? Part. Part. Syst. Charact. 24(2), 108–112 (2007)
Roussel, L.E.: Experimental investigation of stick-slip behavior in granular materials. Louisiana State University (2005)
Aharonov, E., Sparks, D.: Stick-slip motion in simulated granular layers. J. Geophys. Res-Sol Ea 109(B9) (2004)
Mora, P., Place, D.: Simulation of the frictional stick-slip instability. Pure. Appl. Geophys. 143(1–3), 61–87 (1994)
Morgan, J.K.: Particle dynamics simulations of rate-and state-dependent frictional sliding of granular fault gouge. Pure. appl. Geophys. 161(9–10), 1877–1891 (2004)
Khazaei, C.et al.: Discrete element modeling of stick-slip instability and induced microseismicity. Pure. Appl. Geophys. 1–20 (2015)
David, C.T., et al.: Powder flow testing with 2d and 3d biaxial and triaxial simulations. Part. Part. Syst. Charact. 24(1), 29–33 (2007)
Johnson, P.A., et al.: Acoustic emission and microslip precursors to stick-slip failure in sheared granular material. Geophys. Res. Lett. 40(21), 5627–5631 (2013)
Nielsen, S., Tarantola, A.: Numerical model of seismic rupture. J. Geophys. Res. 97(B11), 15291–15295 (1992)
Rabinowicz, E.: The nature of the static and kinetic coefficients of friction. J. Appl. Phys. 22(11), 1373–1379 (1951)
Scholz, C.H.: Earthquakes and friction laws. Nature 391(6662), 37–42 (1998)
Beeler, N., et al.: The roles of time and displacement in the evolution effect in rock friction. Geophys. Res. Lett. 21(18), 1987–1990 (1994)
Bi, Z., et al.: Numerical study on energy transformation in granular matter under biaxial compression. Granul Matter 13(4), 503–510 (2011)
Dieteric, J.H: Time-dependent friction in rocks. J. Geophysical Res. 77(20), 3690–3690 (1972)
Molnar, P., Johnson, T.: Detailed studies of frictional sliding of granite and implications for the earthquake mechanism. J. Geophys. Res. 32, 6392–6406 (1972)
Acknowledgements
The authors express sincere appreciation to M. Grogger for his cooperation in performing the laboratory triaxial tests described in the paper. The authors would like to thank Prof. T. Doanh of Ecole Nationale des Travaux Publics de l’Etat, France for providing the glass beads for this study. This work was financed by the National Natural Science Foundation of China (Grants: 41672297 and 41602313).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Cui, D., Wu, W., Xiang, W., Chen, Q., Wang, S. (2019). Experimental and Numerical Analysis of Stick-Slip Instability of Granular Materials. In: Wu, W. (eds) Recent Advances in Geotechnical Research. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-89671-7_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-89671-7_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-89670-0
Online ISBN: 978-3-319-89671-7
eBook Packages: EngineeringEngineering (R0)