Why this work is in the frame
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Bibliographic record
Abstract
We consider the design of harmonic shapes in a particular class of compressible hyperelastic materials of harmonic-type undergoing finite plane deformations. Harmonic shapes are characterized by a `harmonicity condition' imposed on the final stress field. The `harmonicity condition' used in this paper is a generalization of the original condition used in the corresponding problems of linear elasticity: specifically, that the first invariant of the stress tensor (i.e. the sum of the normal stresses) in the original stress field remains unchanged everywhere after the introduction of the harmonic hole or inclusion. Using complex variable techniques, we formulate the general equations for the identification of harmonic shapes in a material of harmonic-type subjected to plane deformations. Under the assumption of uniform biaxial loading, we identify shapes of harmonic rigid inclusions and harmonic free holes. Finally, comparisons are drawn to the analogous cases from linear elasticity.
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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 | 0.000 |
| 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