Chirality-Dependent Mechanical Behavior of Carbon Nanotubes Based on an Anisotropic Elastic Shell Model
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Bibliographic record
Abstract
Motivated by recently reported chirality-dependent mechanical phenomena of small-radius carbon nanotubes, an anisotropic elastic shell model is developed in the present paper for small-radius single-walled carbon nanotubes. Due to curvature-derived elastic anisotropy, small-radius single-walled carbon nanotubes are better described by anisotropic plane-stress relations rather than graphite sheets of hexagonal symmetry which are governed by an isotropic plane-stress relation. Based on an orthotropic plane-stress elastic relation for zigzag and armchair single-walled carbon nanotubes, the suggested model is formulated for chiral single-walled carbon nanotubes of arbitrary chiral angle through a small-angle (less than π/12) rotation of the coordinate system. The results obtained show that the suggested anisotropic shell model can explain the chirality-dependent mechanical phenomena reported in the recent literature, and could be used to study chirality-dependent mechanical behavior of multi-walled carbon nanotubes of smaller innermost radii.
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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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 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 it