The DOI matches its Crossref record; 33 of the 33 references it cites were found in a registry or an index.
Finite deformation mechanics in buckled thin films on compliant supports
Open accessAbstract
We present detailed experimental and theoretical studies of the mechanics of thin buckled films on compliant substrates. In particular, accurate measurements of the wavelengths and amplitudes in structures that consist of thin, single-crystal ribbons of silicon covalently bonded to elastomeric substrates of poly(dimethylsiloxane) reveal responses that include wavelengths that change in an approximately linear fashion with strain in the substrate, for all values of strain above the critical strain for buckling. Theoretical reexamination of this system yields analytical models that can explain these and other experimental observations at a quantitative level. We show that the resulting mechanics has many features in common with that of a simple accordion bellows. These results have relevance to the many emerging applications of controlled buckling structures in stretchable electronics, microelectromechanical systems, thin-film metrology, optical devices, and others.
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
Timoshenko, S. P. (1936) · UCLA Biblioteca de Ingenieria Civil · Cited by 7,592
Knops, R. J., & Wilkes, E. W. (1973) · Mechanics of Solids · doi:10.1007/978-3-642-69569-8_2 · Cited by 5,165
Bowden, N., Brittain, S., Evans, A. G., Hutchinson, J. W., & Whitesides, G. M. (1998) · Nature · doi:10.1038/30193 · Cited by 2,305
Someya, T., Sekitani, T., Iba, S., Kato, Y., Kawaguchi, H., & Sakurai, T. (2004) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0401918101 · Cited by 1,921
Analysis and design of structural sandwich panels
Ogorkiewicz, R. M. (1970) · Composites · doi:10.1016/0010-4361(70)90244-2 · Cited by 1,759
A Stretchable Form of Single-Crystal Silicon for High-Performance Electronics on Rubber Substrates
Khang, D.-Y., Jiang, H., Huang, Y., & Rogers, J. A. (2006) · Science · doi:10.1126/science.1121401 · Cited by 1,689
Self-citationA buckling-based metrology for measuring the elastic moduli of polymeric thin films
Stafford, C. M., Harrison, C., Beers, K. L., Karim, A., Amis, E. J., VanLandingham, M. R., Kim, H.-C., Volksen, W., Miller, R. D., & Simonyi, E. E. (2004) · Nature Materials · doi:10.1038/nmat1175 · Cited by 1,360
Silicone Rubber Substrata: A New Wrinkle in the Study of Cell Locomotion
Harris, A. K., Wild, P., & Stopak, D. (1980) · Science · doi:10.1126/science.6987736 · Cited by 1,348
Epithelial contact guidance on well-defined micro- and nanostructured substrates
Teixeira, A. I., Abrams, G. A., Bertics, P. J., Murphy, C. J., & Nealey, P. F. (2003) · Journal of Cell Science · doi:10.1242/jcs.00383 · Cited by 978
Controlled buckling of semiconductor nanoribbons for stretchable electronics
Sun, Y., Choi, W. M., Jiang, H., Huang, Y. Y., & Rogers, J. A. (2006) · Nature Nanotechnology · doi:10.1038/nnano.2006.131 · Cited by 933
Self-citation
Cited by
Fractal design concepts for stretchable electronics
Fan, J. A., Yeo, W.-H., Su, Y., Hattori, Y., Lee, W., Jung, S.-Y., Zhang, Y., Liu, Z., Cheng, H., Falgout, L., et al. (2014) · Nature Communications · doi:10.1038/ncomms4266 · Cited by 1,088
Self-citationPrinted Assemblies of Inorganic Light-Emitting Diodes for Deformable and Semitransparent Displays
Park, S.-I., Xiong, Y., Kim, R.-H., Elvikis, P., Meitl, M., Kim, D.-H., Wu, J., Yoon, J., Yu, C.-J., Liu, Z., et al. (2009) · Science · doi:10.1126/science.1175690 · Cited by 852
Self-citationGraphene-based transparent strain sensor
Bae, S.-H., Lee, Y., Sharma, B. K., Lee, H.-J., Kim, J.-H., & Ahn, J.-H. (2013) · Carbon · doi:10.1016/j.carbon.2012.08.048 · Cited by 777
Stretchable, Large‐area Organic Electronics
Sekitani, T., & Someya, T. (2010) · Advanced Materials · doi:10.1002/adma.200904054 · Cited by 773
Flexible and Stretchable Capacitive Sensors with Different Microstructures
Qin, J., Yin, L., Hao, Y., Zhong, S., Zhang, D., Bi, K., Zhang, Y., Zhao, Y., & Dang, Z. (2021) · Advanced Materials · doi:10.1002/adma.202008267 · Cited by 616
Metadata
- Authors
- Jiang, H., Khang, D.-Y., Song, J., Sun, Y., Huang, Y., & Rogers, J. A.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 2007-10-02
- Volume
- 104
- Issue
- 40
- Pages
- 15607-15612
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2118020929
- Cited by
- 721
- References
- 33
- FWCI
- 63.69
- 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: Finite deformation mechanics in buckled thin films on compliant supports. https://app.cochat.ai/papers/10.1073/pnas.0702927104
- The paper
- Jiang, H., Khang, D.-Y., Song, J., Sun, Y., Huang, Y., & Rogers, J. A. (2007). Finite deformation mechanics in buckled thin films on compliant supports. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.0702927104
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.