Multi-coating an inclusion of arbitrary shape to achieve uniformity of interior stresses
Why this work is in the frame
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Bibliographic record
Abstract
The idea of a multi-coating has been used extensively in the design of invisibility cloaks in which the objective is to achieve near-invisibility of a particular structure. To this end, this paper is concerned with the internal stress field of an elastic inclusion of arbitrary shape bonded to the surrounding matrix through multiple coatings when the matrix is subjected to remote uniform anti-plane stresses. For any number of intermediate coatings, we identify non-elliptical shapes of the inclusion leading to an internal uniform stress field. The problem is solved analytically for an inclusion of arbitrary shape with two coatings, and iteratively for an inclusion of arbitrary shape with three or more coatings. Our results indicate that the shape of an inclusion permitting an internal uniform stress field can essentially be arbitrary when the number of the coatings is sufficiently large.
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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) | 0.000 | 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 | 0.001 |
| 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