Avalanche contribution to shear modulus of granular materials.

Shear modulus of frictionless granular materials near the jamming transition under oscillatory shear is numerically investigated. It is found that the shear modulus G satisfies a scaling law to interpolate between G∼(ϕ-ϕJ)(1/2) and G∼γ0(-1/2)(ϕ-ϕJ) for a linear spring model of the elastic interaction between contacting grains, where ϕ, ϕJ, and γ0 are, respectively, the volume fraction of grains, the fraction at the jamming point, and the amplitude of the oscillatory shear. The linear relation between the shear modulus and ϕ-ϕJ can be understood by slip avalanches.

• Publication year

  2014

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  2014-02-26

• Fields of study

  Materials Science, Physics, Medicine

• Identifiers
  DOI 10.1103/PhysRevE.90.042202arXiv 1402.6473PMID 25375484
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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