An imperfectly bonded elliptical inhomogeneity under uniform heat flux and uniform temperature change
Bibliographic record
Abstract
We consider the uncoupled two-dimensional steady-state heat conduction and thermoelastic problems associated with an elliptical isotropic elastic inhomogeneity imperfectly bonded to an infinite isotropic elastic matrix subjected to uniform remote heat flux and uniform temperature change. The imperfect interface is weakly conducting in heat conduction and spring-type in elasticity, and is characterized by two non-negative imperfect interface functions. The same degree of imperfection in elasticity is realized in both the normal and tangential directions of the elliptical interface. When the two interface functions are judiciously chosen, a uniform heat flux will induce a linear stress distribution within the elliptical inhomogeneity and a uniform temperature change will induce a constant stress distribution within the inhomogeneity. Explicit closed-form expressions for the temperature and thermoelastic fields in the elliptical inhomogeneity and the matrix are obtained.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 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 | 0.002 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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 source (direct Gemma or distilled Codex), 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".