Surface tension-induced unique phenomena for edge dislocations in a free-standing thin film
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Bibliographic record
Abstract
We explore the effects of surface tension and surface elasticity on the elastic behavior of a line edge dislocation buried in a free-standing thin film. Using specific conformal mappings, we derive semi-analytic solutions for the dislocation-induced stress field in the film and the image force acting on the dislocation. It is shown that surface tension and surface elasticity are responsible for significant tractions on the film surface and therefore make an important contribution to the dislocation-induced stress field in the film and to the mobility of the dislocation when the film thickness approaches the nanoscale. In terms of the moving tendency and mobility of the dislocation (defined by the image force acting on the dislocation), it is identified that the effects of surface elasticity always play the role of reducing its mobility without reversing its moving tendency, while those of surface tension would reverse the moving tendency or increase the mobility in certain specific cases. In particular, it is found that for an edge dislocation located on the mid-plane of the film, when the Burgers vector or slip plane of the dislocation is parallel or at a small angle to the surface of the film, the presence of surface tension can alter the dislocation’s equilibrium from a stable to an unstable state as the thickness of the film decreases from the macroscale to the nanoscale (which, incidentally, cannot be achieved by the separate contribution of surface elasticity alone).
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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 | 0.003 | 0.001 |
| 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 | 0.001 | 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 it