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Microscopic reversibility and emergent elasticity in ultrastable granular systems

Publication ,  Journal Article
Zhao, Y; Wang, D; Zheng, H; Chakraborty, B; Socolar, JES
Published in: Frontiers in Physics
November 28, 2022

In a recent paper (Zhao et al., Phys Rev X, 2022, 12: 031,021), we reported experimental observations of “ultrastable” states in a shear-jammed granular system subjected to small-amplitude cyclic shear. In such states, all the particle positions and contact forces are reproduced after each shear cycle so that a strobed image of the stresses and particle positions appears static. In the present work, we report further analyses of data from those experiments to characterize both global and local responses of ultrastable states within a shear cycle, not just the strobed dynamics. We find that ultrastable states follow a power-law relation between shear modulus and pressure with an exponent β ≈ 0.5, reminiscent of critical scaling laws near jamming. We also examine the evolution of contact forces measured using photoelasticimetry. We find that there are two types of contacts: non-persistent contacts that reversibly open and close; and persistent contacts that never open and display no measurable sliding. We show that the non-persistent contacts make a non-negligible contribution to the emergent shear modulus. We also analyze the spatial correlations of the stress tensor and compare them to the predictions of a recent theory of the emergent elasticity of granular solids, the Vector Charge Theory of Granular mechanics and dynamics (VCTG) (Nampoothiri et al., Phys Rev Lett, 2020, 125: 118,002). We show that our experimental results can be fit well by VCTG, assuming uniaxial symmetry of the contact networks. The fits reveal that the response of the ultrastable states to additional applied stress is substantially more isotropic than that of the original shear-jammed states. Our results provide important insight into the mechanical properties of frictional granular solids created by shear.

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Published In

Frontiers in Physics

DOI

EISSN

2296-424X

Publication Date

November 28, 2022

Volume

10

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
 

Citation

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Zhao, Y., Wang, D., Zheng, H., Chakraborty, B., & Socolar, J. E. S. (2022). Microscopic reversibility and emergent elasticity in ultrastable granular systems. Frontiers in Physics, 10. https://doi.org/10.3389/fphy.2022.1048683
Zhao, Y., D. Wang, H. Zheng, B. Chakraborty, and J. E. S. Socolar. “Microscopic reversibility and emergent elasticity in ultrastable granular systems.” Frontiers in Physics 10 (November 28, 2022). https://doi.org/10.3389/fphy.2022.1048683.
Zhao Y, Wang D, Zheng H, Chakraborty B, Socolar JES. Microscopic reversibility and emergent elasticity in ultrastable granular systems. Frontiers in Physics. 2022 Nov 28;10.
Zhao, Y., et al. “Microscopic reversibility and emergent elasticity in ultrastable granular systems.” Frontiers in Physics, vol. 10, Nov. 2022. Scopus, doi:10.3389/fphy.2022.1048683.
Zhao Y, Wang D, Zheng H, Chakraborty B, Socolar JES. Microscopic reversibility and emergent elasticity in ultrastable granular systems. Frontiers in Physics. 2022 Nov 28;10.

Published In

Frontiers in Physics

DOI

EISSN

2296-424X

Publication Date

November 28, 2022

Volume

10

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences