# Force propagation in isostatic granular packs.

@article{Krapf2012ForcePI, title={Force propagation in isostatic granular packs.}, author={Nathan W Krapf}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2012}, volume={86 2 Pt 1}, pages={ 021302 } }

We investigate how forces spread through frictionless granular packs at the jamming transition. Previous work has indicated that such packs are isostatic, and thus obey a null stress law which, independent of the packing history, causes rays of stress to propagate away from a point force at oblique angles. Prior verifications of the null stress law have used a sequential packing method which yields packs with anisotropic packing histories. We create packs without this anisotropy, and then later…

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## References

SHOWING 1-10 OF 83 REFERENCES

### Stress propagation through frictionless granular material.

- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 1999

It is argued that the Transmission of force may be regarded as unidirectional, in contrast to the transmission of force in an elastic material, and may be useful even though grains have friction and are not packed sequentially.

### Robust propagation direction of stresses in a minimal granular packing

- Engineering
- 2001

Abstract:By employing the adaptive network simulation method, we demonstrate that the ensemble-averaged stress caused by a local force for packings of frictionless rigid beads is concentrated along…

### Random multiplicative processes and the response functions of granular packings

- Mathematics
- 2002

It has recently been suggested that the property of isostaticity of the contact network of a frictionless polydisperse granular packing in the limit of low applied pressure is responsible for some of…

### Stress in frictionless granular material: adaptive network simulations

- EngineeringPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000

In a series of two-dimensional realizations, the resulting force networks are shown to satisfy a linear constraint among the three components of average stress, as anticipated by recent theories.

### Jammed frictionless disks: Connecting local and global response.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

By calculating the linear response of packings of soft frictionless disks to quasistatic external perturbations, we investigate the critical scaling behavior of their elastic properties and nonaffine…

### Stresses in isostatic granular systems and emergence of force chains.

- PhysicsPhysical review letters
- 2004

It is shown that the solutions give rise to force chains, and the explicit dependence of the force chains trajectories and magnitudes on the local geometry is predicted.

### Jamming at zero temperature and zero applied stress: the epitome of disorder.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2003

The results provide a well-defined meaning for "random close packing" in terms of the fraction of all phase space with inherent structures that jam, and suggest that point J is a point of maximal disorder and may control behavior in its vicinity-perhaps even at the glass transition.

### Measurement of the mechanical properties of granular packs by wavelength-scanning interferometry

- EngineeringProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2009

A wavelength-scanning interferometer has been constructed to observe both the normal and in-plane displacements particle by particle at the base of a model granular pack. The pack comprised 25 000…

### An explanation for the central stress minimum in sand piles

- GeologyNature
- 1996

A KEY component of a continuum-mechanical description of a sand pile (viewed as an assembly of hard particles in frictional contact) is the requirement of stress continuity—the forces acting on a…

### Friction enhances elasticity in granular solids

- Geology, EngineeringNature
- 2005

Numerical simulations of the response of a two-dimensional granular slab to an external load reveal that both approaches are valid—albeit on different length scales.