Computational Modeling of Thermoelastic Problems of a Thin Annular Disc
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Bibliographic record
Abstract
The paper is concerned with the inverse unsteady-state problem of thermolelastic deformation of a thin annular disc in the plane state of stress. Homogeneous boundary conditions of the third kind are maintained on curved surfaces of the disc while on the lower plane surface the heat flux is maintained at u(r, t) = 0which a known function of r and t is. The flux is prescribed also on the plane z = which serves as the interior condition. A mathematically this problem of determining the temperature, displacement and stress functions of a thin annular disc is studied. The finite Marchi-Zgrablich and Laplace transform techniques are used to find the solutions of the inverse transient themoelastic problems of a thin annular disc. Key words : Boundary value problems; Thermoelasticity; Heat conduction
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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