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Identification of jamming transition: a critical appraisal

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Abstract

A variety of approaches have been proposed to determine the onset of jamming (unjamming) transition for granular medium. However, these approaches all have their own limitations. In this study, the applicability of the existing approaches in identifying the jamming (unjamming) transition instant is evaluated based on the discrete element method simulations on both frictionless and frictional specimens subjected to different loading protocols which lead to isotropic jamming, shear jamming and shear unjamming. A new approach based on Hill’s criterion of failure is proposed, which defines the transition of second order work from positive to negative as the onset of jamming (unjamming) transition. The jamming (unjamming) transition instant determined from the new approach is compared with those determined from some classic approaches. It is found that the second order work-based approach not only locates the critical solid fraction in the jamming diagram consistent with other approaches, but is also able to identify the onset of jamming (unjamming) transition for loading protocols that are difficult to be assessed by the existing approaches. This more robust approach is useful for the study of jamming phenomena under a broader types of loading protocols, and can be further employed to derive the jamming diagram of real materials.

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Acknowledgements

The research was supported by the National Natural Science Foundation of China (Nos. 41877227 and 51509186).

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Authors and Affiliations

  1. Department of Geotechnical Engineering, Tongji University, Shanghai, 200092, China

    Mingze Xu, Zixin Zhang & Xin Huang

  2. State Key Laboratory of Geotechnical and Underground Engineering, Tongji University, Shanghai, 200092, China

    Mingze Xu, Zixin Zhang & Xin Huang

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Mingze Xu: Analysis, figures and first draft writing; Zixin Zhang: research overseeing. Xin Huang: Conceptual and final editing.

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Correspondence to Xin Huang.

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This article is part of the Topical Collection: Flow regimes and phase transitions in granular matter: multiscale modeling from micromechanics to continuum.

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Xu, M., Zhang, Z. & Huang, X. Identification of jamming transition: a critical appraisal. Granular Matter 23, 5 (2021). https://doi.org/10.1007/s10035-020-01066-2

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