The DOI matches its Crossref record.
Elastic relationships in layered composite media with approximation for the case of thin films on a thick substrate
Abstract
A general theory is presented for the elastic interactions in a composite plate of layers with different relaxed planar dimensions. Solutions are obtained for the case of equivalent elastic properties and for the case of different elastic properties among the layers. Approximations for the case of thin films on a substrate lead to the governing equations for stresses in multilayered thin-film systems. Finally, the experimental determination of the planar substrate strain, which is first order in the film/substrate thickness ratio, is presented as a rigorous test of the correctness of the theory.
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
Sun, D., Sun, Q., Xing, W., Sun, Z., Shang, H., Chang, L., Wang, X., Liu, P., & Hall, T. (2018) · AIP Advances · doi:10.1063/1.5045516 · Cited by 7
Metadata
- Authors
- Townsend, P. H., Barnett, D. M., & Brunner, T. A.
- Venue
- Journal of Applied Physics
- Publisher
- AIP Publishing
- Published
- 1987-12-01
- Volume
- 62
- Issue
- 11
- Pages
- 4438-4444
- ISSN
- 0021-8979 (ISSN-L)
- 1089-7550
- OpenAlex
- W2028015831
- Cited by
- 374
- References
- 0
- FWCI
- 11.40
- 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: Elastic relationships in layered composite media with approximation for the case of thin films on a thick substrate. https://app.cochat.ai/papers/10.1063/1.339082
- The paper
- Townsend, P. H., Barnett, D. M., & Brunner, T. A. (1987). Elastic relationships in layered composite media with approximation for the case of thin films on a thick substrate. Journal of Applied Physics. https://doi.org/10.1063/1.339082
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.
