The DOI matches its Crossref record.
Composite materials with poisson's ratios close to — 1
Open accessAbstract
A family of two-dimensional, two-phase, composite materials with hexagonal symmetry is found with Poisson's ratios arbitrarily close to — 1. Letting k∗, k1,k2 and μ∗,μ1,μ2 denote the bulk and shear moduli of one such composite, stiff inclusion phase and compliant matrix phase, respectively, it is rigorously established that when k1 = K2r and μ1 = μ2r there exists a constant c depending only on k2, μ2 and the geometry such that k∗/μ∗ <c√r for all sufficiently small stiffness ratios r (specifically for r <frcase|1/9). This implies that the Poisson's ratio approaches — 1 as r → 0 and in this limit it is conjectured that the material deforms conlbrmally on a macroscopic scale. By introducing additional microstructure on a smaller length scale a second family of composites is obtained with substantially lower Poisson's ratios, each satisfying k/μ∗
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
Cited by
Poisson's ratio and modern materials
Greaves, G. N., Greer, A. L., Lakes, R. S., & Rouxel, T. (2011) · Nature Materials · doi:10.1038/nmat3134 · Cited by 2,362
Flexible mechanical metamaterials
Bertoldi, K., Vitelli, V., Christensen, J., & van Hecke, M. (2017) · Nature Reviews Materials · doi:10.1038/natrevmats.2017.66 · Cited by 1,867
Programmable Mechanical Metamaterials
Florijn, B., Coulais, C., & van Hecke, M. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.175503 · Cited by 636
Tailoring materials with prescribed elastic properties
Sigmund, O. (1995) · Mechanics of Materials · doi:10.1016/0167-6636(94)00069-7 · Cited by 538
Negative-Poisson's-Ratio Materials: Auxetic Solids
Lakes, R. S. (2017) · Annual Review of Materials Research · doi:10.1146/annurev-matsci-070616-124118 · Cited by 455
Metadata
- Authors
- Milton, G. W.
- Venue
- Journal of the Mechanics and Physics of Solids
- Publisher
- Elsevier BV
- Published
- 1992-07
- Volume
- 40
- Issue
- 5
- Pages
- 1105-1137
- ISSN
- 0022-5096 (ISSN-L)
- OpenAlex
- W2043873873
- Cited by
- 517
- References
- 0
- FWCI
- 12.09
- Type
- journal article
- Language
- en
- Open access
- hybrid
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: Composite materials with poisson's ratios close to — 1. https://app.cochat.ai/papers/10.1016/0022-5096(92)90063-8
- The paper
- Milton, G. W. (1992). Composite materials with poisson's ratios close to — 1. Journal of the Mechanics and Physics of Solids. https://doi.org/10.1016/0022-5096(92)90063-8
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.
