Surface wrinkling of two mutually attracting elastic thin films due to van der Waals forces
Bibliographic record
Abstract
This article studies surface instability of two mutually attracting elastic films due to van der Waals forces under plane strain conditions. The analysis is based on an approximate method which reduces a two-dimensional problem of an elastic film to a one-dimensional surface problem. This method is much simpler than the conventional method and allows one to easily identify the critical value of the interaction coefficient and the surface instability mode. The accuracy of this method is demonstrated by the excellent agreement (with relative errors less than 5%) between the predicted results and the known exact data for a special case of an elastic film interacting with a rigid flat surface. The incompatibility of the individual fundamental modes of two elastic layers with unequal thickness results in two distinct metastable instability modes when the thickness ratio exceeds a critical value, in contrast to the uniqueness of the surface instability mode of an elastic film attracted to a rigid flat surface. This nonuniqueness of the metastable instability modes would cause complex surface instability phenomena of two interacting elastic films (such as jump between the two instability modes).
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".