The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Why Effective Medium Theory Fails in Granular Materials
Open accessAbstract
Experimentally it is known that the bulk modulus $K$ and shear modulus $\ensuremath{\mu}$ of a granular assembly of elastic spheres increase with pressure $p$ faster than the ${p}^{1/3}$ law predicted by effective medium theory (EMT) based on Hertz-Mindlin contact forces. To understand the origin of these discrepancies, we perform numerical simulations of granular aggregates under compression. We show that EMT can describe the moduli pressure dependence if one includes the increasing number of grain-grain contacts with $p$. Most important, the affine assumption (which underlies EMT), is found to be valid for $K(p)$ but breaks down seriously for $\ensuremath{\mu}(p)$.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
A discrete numerical model for granular assemblies
Cundall, P. A., & Strack, O. D. L. (1979) · Géotechnique · doi:10.1680/geot.1979.29.1.47 · Cited by 17,527
Johnson, K. L. (1985) · Cambridge University Press eBooks · doi:10.1017/cbo9781139171731 · Cited by 7,796
Jamming, Force Chains, and Fragile Matter
Cates, M. E., Wittmer, J. P., Bouchaud, J., & Claudin, P. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.1841 · Cited by 1,040
Amorphous solids: their structure, lattice dynamics and elasticity
Alexander, S. (1998) · Physics Reports · doi:10.1016/s0370-1573(97)00069-0 · Cited by 587
Computer simulated deformation of compact granular assemblies
Thornton, C., & Barnes, D. J. (1986) · Acta Mechanica · doi:10.1007/bf01180097 · Cited by 194
Stress propagation through frictionless granular material
Tkachenko, A. V., & Witten, T. A. (1999) · Physical Review E · doi:10.1103/physreve.60.687 · Cited by 183
Cited by
Mavko, G., Mukerji, T., & Dvorkin, J. (2020) · Cambridge University Press eBooks · doi:10.1017/9781108333016 · Cited by 1,734
Jamming of soft particles: geometry, mechanics, scaling and isostaticity
van Hecke, M. (2010) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/22/3/033101 · Cited by 688
Granular material flows – An overview
Campbell, C. S. (2006) · Powder Technology · doi:10.1016/j.powtec.2005.12.008 · Cited by 502
Metadata
- Authors
- Makse, H. A., Gland, N., Johnson, D. L., & Schwartz, L. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-12-13
- Volume
- 83
- Issue
- 24
- Pages
- 5070-5073
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1965474275
- Cited by
- 297
- References
- 6
- FWCI
- 7.12
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Why Effective Medium Theory Fails in Granular Materials. https://app.cochat.ai/papers/10.1103/physrevlett.83.5070
- The paper
- Makse, H. A., Gland, N., Johnson, D. L., & Schwartz, L. M. (1999). Why Effective Medium Theory Fails in Granular Materials. Physical Review Letters. https://doi.org/10.1103/physrevlett.83.5070
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
