Spongelike Rigid Structures in Frictional Granular Packings

We show how rigidity emerges in experiments on sheared two-dimensional frictional granular materials by using generalizations of two methods for identifying rigid structures. Both approaches, the force-based dynamical matrix and the topology-based rigidity percolation, agree with each other and iden...

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Bibliographic Details
Published in:Physical review letters 2021-02, Vol.126 (8), p.088002
Main Authors: Liu, Kuang, Kollmer, Jonathan E, Daniels, Karen E, Schwarz, J M, Henkes, Silke
Format: Article
Language:English
Subjects:
Granular materials
Jamming
Long term care insurance
Percolation
Rigid structures
Rigidity
Structural stability
Topology
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Summary:We show how rigidity emerges in experiments on sheared two-dimensional frictional granular materials by using generalizations of two methods for identifying rigid structures. Both approaches, the force-based dynamical matrix and the topology-based rigidity percolation, agree with each other and identify similar rigid structures. As the system becomes jammed, at a critical contact number z_{c}=2.4±0.1, a rigid backbone interspersed with floppy, particle-filled holes of a broad range of sizes emerges, creating a spongelike morphology. While the pressure within rigid structures always exceeds the pressure outside the rigid structures, they are not identified with the force chains of shear jamming. These findings highlight the need to focus on mechanical stability arising through arch structures and hinges at the mesoscale.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.126.088002