Effect of a circular Eshelby inclusion on the non‐elliptical shape of a coated neutral inhomogeneity with internal uniform stresses
Bibliographic record
Abstract
Abstract Using conformal mapping techniques, we present the design of a coated non‐elliptical neutral inhomogeneity with internal uniform stresses which does not disturb a prescribed uniform anti‐plane stress field in the surrounding matrix when both a circular Eshelby inclusion present in the thick coating and the inhomogeneity itself undergo uniform eigenstrains. An appropriately chosen conformal mapping function maps the doubly connected domain of the thick coating onto an annulus in the image plane. All of the unknown complex constants appearing in the mapping function can be uniquely determined. Detailed numerical results are presented to demonstrate the proposed theory. We also consider a related problem concerning a neutral coated inhomogeneity with internal uniform stresses in the presence of a screw dislocation dipole in the thick coating.
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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 | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 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 | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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".