Surface instability of a bilayer elastic film due to surface van der Waals forces
Bibliographic record
Abstract
The paper studies surface instability of a bilayer elastic film interacting with another flat rigid body through surface van der Waals forces under plane-strain conditions. The analysis is based on an approximate model which reduces the two-dimensional plane-strain problem of the bilayer elastic film to a one-dimensional problem on its surface. The critical value of the interaction coefficient for surface instability and the associated instability mode can be determined easily by identifying the minimum of the interaction coefficient as a function of the wavelength of the instability mode. Among others, the present analysis shows that a stiff bottom layer of a bilayer film can be approximately treated as a rigid substrate only when the surface compliance ratio of the top layer to the bottom layer exceeds a certain critical value. In contrast to a common assumption that nonequal Poisson ratios of the two layers have a minor effect, it is found that different Poisson ratio combinations could have a significant effect on the surface instability of a bilayer elastic film even when the thickness ratio and modulus ratio keep unchanged. In particular, the present study confirms that, unlike a single-layer elastic film which has only one instability mode, a bilayer elastic film can have two distinct surface instability modes when the top layer is more compliant and much thinner than the bottom layer.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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 teacher head, 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".