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Direct observation of dynamic shear jamming in dense suspensions

Abstract

Liquid-like at rest, dense suspensions of hard particles can undergo striking transformations in behaviour when agitated or sheared1. These phenomena include solidification during rapid impact2,3, as well as strong shear thickening characterized by discontinuous, orders-of-magnitude increases in suspension viscosity4,5,6,7,8. Much of this highly non-Newtonian behaviour has recently been interpreted within the framework of a jamming transition. However, although jamming indeed induces solid-like rigidity9,10,11, even a strongly shear-thickened state still flows and thus cannot be fully jammed12,13. Furthermore, although suspensions are incompressible, the onset of rigidity in the standard jamming scenario requires an increase in particle density9,10,14. Finally, whereas shear thickening occurs in the steady state, impact-induced solidification is transient2,15,16,17. As a result, it has remained unclear how these dense suspension phenomena are related and how they are connected to jamming. Here we resolve this by systematically exploring both the steady-state and transient regimes with the same experimental system. We demonstrate that a fully jammed, solid-like state can be reached without compression and instead purely with shear, as recently proposed for dry granular systems18,19. This state is created by transient shear-jamming fronts, which we track directly. We also show that shear stress, rather than shear rate, is the key control parameter. From these findings we map out a state diagram with particle density and shear stress as variables. We identify discontinuous shear thickening with a marginally jammed regime just below the onset of full, solid-like jamming20. This state diagram provides a unifying framework, compatible with prior experimental and simulation results on dense suspensions, that connects steady-state and transient behaviour in terms of a dynamic shear-jamming process.

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Figure 1: Transition from viscous response to rapid front propagation.
Figure 2: Influence of driving speed and packing fraction.
Figure 3: Transitions between the different states of the suspension.

References

  1. Barnes, H. A. Shear-thickening (‘dilatancy’) in suspensions of nonaggregating solid particles dispersed in Newtonian liquids. J. Rheol. 33, 329–366 (1999)

    ADS  Article  Google Scholar 

  2. Waitukaitis, S. R. & Jaeger, H. M. Impact-activated solidification of dense suspensions via dynamic jamming fronts. Nature 487, 205–209 (2012)

    CAS  ADS  Article  Google Scholar 

  3. Petel, O. E. et al. The effect of particle strength on the ballistic resistance of shear thickening fluids. Appl. Phys. Lett. 102, 064103 (2013)

    ADS  Article  Google Scholar 

  4. Fall, A., Huang, N., Bertrand, F., Ovarlez, G. & Bonn, D. Shear thickening of cornstarch suspensions as a reentrant jamming transition. Phys. Rev. Lett. 100, 018301 (2008)

    ADS  Article  Google Scholar 

  5. Brown, E. & Jaeger, H. M. Dynamic jamming point for shear thickening suspensions. Phys. Rev. Lett. 103, 086001 (2009)

    ADS  Article  Google Scholar 

  6. Seto, R., Mari, R., Morris, J. F. & Denn, M. M. Discontinuous shear thickening of frictional hard-sphere suspensions. Phys. Rev. Lett. 111, 218301 (2013)

    ADS  Article  Google Scholar 

  7. Wyart, M. & Cates, M. E. Discontinuous shear thickening without inertia in dense non-brownian suspensions. Phys. Rev. Lett. 112, 098302 (2014)

    CAS  ADS  Article  Google Scholar 

  8. Fall, A. et al. Macroscopic discontinuous shear thickening versus local shear jamming in cornstarch. Phys. Rev. Lett. 114, 098301 (2015)

    CAS  ADS  Article  Google Scholar 

  9. Cates, M., Wittmer, J., Bouchaud, J.-P. & Claudin, P. Jamming, force chains, and fragile matter. Phys. Rev. Lett. 81, 1841–1844 (1998)

    CAS  ADS  Article  Google Scholar 

  10. Liu, A. J. & Nagel, S. R. Jamming is not just cool any more. Nature 396, 21–22 (1998)

    CAS  ADS  Article  Google Scholar 

  11. Trappe, V., Prasad, V., Cipelletti, L., Segre, P. N. & Weitz, D. A. Jamming phase diagram for attractive particles. Nature 411, 772–775 (2001)

    CAS  ADS  Article  Google Scholar 

  12. Brown, E. et al. Generality of shear thickening in dense suspensions. Nature Mater. 9, 220–224 (2010)

    CAS  ADS  Article  Google Scholar 

  13. Mari, R., Seto, R., Morris, J. F. & Denn, M. M. Shear thickening, frictionless and frictional rheologies in non-Brownian suspensions. J. Rheol. 58, 1693–1724 (2014)

    CAS  ADS  Article  Google Scholar 

  14. Keys, A. S., Abate, A. R., Glotzer, S. C. & Durian, D. J. Measurement of growing dynamical length scales and prediction of the jamming transition in a granular material. Nature Phys. 3, 260–264 (2007)

    CAS  ADS  Article  Google Scholar 

  15. Liu, B., Shelley, M. & Zhang, J. Focused force transmission through an aqueous suspension of granules. Phys. Rev. Lett. 105, 188301 (2010)

    ADS  Article  Google Scholar 

  16. von Kann, S., Snoeijer, J., Lohse, D. & van der Meer, D. Nonmonotonic settling of a sphere in a cornstarch suspension. Phys. Rev. E 84, 060401 (2011)

    ADS  Article  Google Scholar 

  17. Peters, I. R. & Jaeger, H. M. Quasi-2D dynamic jamming in cornstarch suspensions: visualization and force measurements. Soft Matter 10, 6564–6570 (2014)

    CAS  ADS  Article  Google Scholar 

  18. Bi, D., Zhang, J., Chakraborty, B. & Behringer, R. P. Jamming by shear. Nature 480, 355–358 (2011)

    CAS  ADS  Article  Google Scholar 

  19. Kumar, N. & Luding, S. Memory of jamming—multiscale flow in soft and granular matter. Granular Matter http://dx.doi.org/10.1007/s10035-016-0624-2 (in the press); preprint at http://arxiv.org/abs/1407.6167 (2015)

  20. Vitelli, V. & van Hecke, M. Marginal matters. Nature 480, 325–326 (2011)

    CAS  ADS  Article  Google Scholar 

  21. Wagner, N. J. & Brady, J. F. Shear thickening in colloidal dispersions. Phys. Today 62, 27–32 (2009)

    CAS  Article  Google Scholar 

  22. Cheng, X., McCoy, J. H., Israelachvili, J. N. & Cohen, I. Imaging the microscopic structure of shear thinning and thickening colloidal suspensions. Science 333, 1276–1279 (2011)

    CAS  ADS  Article  Google Scholar 

  23. Lin, N. Y. C. et al. Hydrodynamic and contact contributions to continuous shear thickening in colloidal suspensions. Phys. Rev. Lett. 115, 228304 (2015)

    ADS  Article  Google Scholar 

  24. Fernandez, N. et al. Microscopic mechanism for shear thickening of non-Brownian suspensions. Phys. Rev. Lett. 111, 108301 (2013)

    ADS  Article  Google Scholar 

  25. Guy, B. M., Hermes, M. & Poon, W. C. K. Towards a unified description of the rheology of hard-particle suspensions. Phys. Rev. Lett. 115, 088304 (2015)

    CAS  ADS  Article  Google Scholar 

  26. Waitukaitis, S. R., Roth, L. K., Vitelli, V. & Jaeger, H. M. Dynamic jamming fronts. Europhys. Lett. 102, 44001 (2013)

    ADS  Article  Google Scholar 

  27. Brown, E. & Jaeger, H. M. Shear thickening in concentrated suspensions: phenomenology, mechanisms and relations to jamming. Rep. Prog. Phys. 77, 046602 (2014)

    ADS  Article  Google Scholar 

  28. Brown, E. & Jaeger, H. M. The role of dilation and confining stresses in shear thickening of dense suspensions. J. Rheol. 56, 875–923 (2012)

    CAS  ADS  Article  Google Scholar 

  29. Sair, L. & Fetzer, W. R. Water sorption by starches. Ind. Eng. Chem. 36, 205–208 (1944)

    CAS  Article  Google Scholar 

  30. Hellman, N. N. & Melvin, E. H. Surface area of starch and its role in water sorption. J. Am. Chem. Soc. 72, 5186–5188 (1950)

    CAS  Article  Google Scholar 

  31. Waitukaitis, S. R. Impact-Activated Solidification of Cornstarch and Water Suspensions 51–56 (Springer, 2014)

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Acknowledgements

We thank E. Brown, E. Han, N. James, S. Mukhopadhyay and Q. Xu for discussions. This work was supported by the US Army Research Office through grant W911NF-12-1-0182 and the Chicago Materials Research Science and Engineering Center, which is funded by the NSF through grant DMR-1420709. S.M. acknowledges support through a Kadanoff-Rice fellowship.

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Contributions

I.R.P., S.M. and H.M.J. conceived the project. I.R.P. and S.M. performed the experiments and the analysis. I.R.P. and H.M.J. wrote the manuscript.

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Correspondence to Ivo R. Peters.

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The authors declare no competing financial interests.

Extended data figures and tables

Extended Data Figure 1 Influence of viscosity on front speed and shear jamming transition.

a, Ratio between front speed and driving speed as a function of the solvent viscosity. Error bars are standard deviations of 7–19 repeated experiments at different driving speeds ui. b, Bouncing transition curves for two different solvent viscosities. The horizontal axis gives the applied shear stress, the vertical axis the maximum upward velocity we observed from the trajectory of the impacting sphere. Error bars are standard deviations of 5–10 repeated experiments.

Source data

Extended Data Figure 2 Long-time behaviour of shear-jammed and unjammed suspension.

Experimental trajectories showing the long-time behaviour of spheres impacting the suspension under three different shear stresses. Zero shear stress (blue curve) and a stress of 90 Pa (DST, green curve) both show a slowly sinking sphere. The shear-jammed state (4,400 Pa, red curve) shows a rebound followed by yield stress behaviour, shown by the sphere not sinking in.

Source data

Supplementary information

Determination of the onset of shear-jamming

This video shows the determination of the onset of shear-jamming through the impact of spheres on the suspension surface. (MP4 13217 kb)

Difference between a diffusive-like velocity profile and a travelling jamming front at high driving speed

This video shows the difference between a diffusive-like velocity profile at low driving speed and a traveling jamming front at high driving speed. (MP4 8152 kb)

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Peters, I., Majumdar, S. & Jaeger, H. Direct observation of dynamic shear jamming in dense suspensions. Nature 532, 214–217 (2016). https://doi.org/10.1038/nature17167

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