CRITERIA FOR ASSUMPTIONS ON THE STRESS STATE IN THE UNCOUPLED LINEAR THERMOELASTICITY IN THE QUASISTATIONARY DISPLACEMENT FIELD APPROXIMATION IN THE CASE OF CYLINDRICAL SYMMETRY
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Bibliographic record
Abstract
The equations of the uncoupled linear thermoelasticity in the quasistationary displacement field approximation in case of cylindrical symmetry are transformed to the form, in which: the separated equations for σ rz , σ zz , et σ zφ coordinates of the stress tensor (in the cylindrical coordinate system r,z, φ ) are obtained; the explicit formulae for displacement coordinates u r and u z in terms of σ rz , σ zz volume force coordinate F r and temperature T are given; also an explicit formula for displacement coordinate u φ in terms of σ zφ volume force F φ is given. If equations for σ rz , σ zz , and σ zφ are replaced by assumptions on the stress state, then these equations represent criteria (necessary conditions) of validity of these assumptions. In particular, for the plane state of stress (σ rz = 0 = σ zz = σ zφ ) with no volume force the criterion for σ rz reads: [Formula: see text] (∇ 2 stands for the Laplacean), and the criteria for σ zz and σ zφ are satisfied automatically.
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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 | 0.001 | 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)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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