The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
The Strain-Energy Function of a Hyperelastic Material in Terms of the Extension Ratios
Abstract
A simple form of the strain-energy function of natural rubber results if the latter is expressed an an analytic function of the extension ratios rather than the invariants. For incompressible isotropic materials it is postulated that this is a separable symmetric function of the extension ratios, i.e., W = w(λ1) + w(λ2) + w(λ3). This form has been substantiated by critical plots using uniaxial and biaxial data reported in the literature by several investigators. The above form appears to be valid over a wide range of deformations (0.2≤λ≤3.5). An explicit representation of W for this range is given in graphical form. In the more limited range (0.6≤λ≤2.5) w(λ) has the analytic form w=2 μλ (lnλ−1).
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
The Physics of Rubber Elasticity
Treloar, L. R. G., & Montgomery, D. J. (1959) · Physics Today · doi:10.1063/1.3060678 · Cited by 3,787
A Theory of Large Elastic Deformation
Mooney, M. (1940) · Journal of Applied Physics · doi:10.1063/1.1712836 · Cited by 3,580
Application of Finite Elastic Theory to the Deformation of Rubbery Materials
Blatz, P. J., & Ko, W. L. (1962) · Transactions of the Society of Rheology · doi:10.1122/1.548937 · Cited by 689
Cited by
A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
Arruda, E. M., & Boyce, M. C. (1993) · Journal of the Mechanics and Physics of Solids · doi:10.1016/0022-5096(93)90013-6 · Cited by 3,239
Machine learning strategies for systems with invariance properties
Ling, J., Jones, R., & Templeton, J. (2016) · Journal of Computational Physics · doi:10.1016/j.jcp.2016.05.003 · Cited by 386
The tube model theory of rubber elasticity
Edwards, S. F., & Vilgis, T. A. (1988) · Reports on Progress in Physics · doi:10.1088/0034-4885/51/2/003 · Cited by 384
A theory of network alteration for the Mullins effect
Marckmann, G., Verron, E., Gornet, L., Chagnon, G., Charrier, P., & Fort, P. (2002) · Journal of the Mechanics and Physics of Solids · doi:10.1016/s0022-5096(01)00136-3 · Cited by 366
The materials science of collagen
Sherman, V. R., Yang, W., & Meyers, M. A. (2015) · Journal of the Mechanical Behavior of Biomedical Materials · doi:10.1016/j.jmbbm.2015.05.023 · Cited by 324
Metadata
- Authors
- Valanis, K. C., & Landel, R. F.
- Venue
- Journal of Applied Physics
- Publisher
- AIP Publishing
- Published
- 1967-06-01
- Volume
- 38
- Issue
- 7
- Pages
- 2997-3002
- ISSN
- 0021-8979 (ISSN-L)
- 1089-7550
- OpenAlex
- W2032781751
- Cited by
- 438
- References
- 3
- FWCI
- 3.06
- Type
- journal article
- Language
- en
- Open access
- closed
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: The Strain-Energy Function of a Hyperelastic Material in Terms of the Extension Ratios. https://app.cochat.ai/papers/10.1063/1.1710039
- The paper
- Valanis, K. C., & Landel, R. F. (1967). The Strain-Energy Function of a Hyperelastic Material in Terms of the Extension Ratios. Journal of Applied Physics. https://doi.org/10.1063/1.1710039
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.
