CRITERIA FOR ASSUMPTIONS ON THE STRESS STATE IN THE UNCOUPLED LINEAR THERMOELASTICITY IN THE QUASISTATIONARY DISPLACEMENT FIELD APPROXIMATION IN THE CASE OF CYLINDRICAL SYMMETRY
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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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 | 0.007 | 0.020 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.002 | 0.001 |
| Science and technology studies | 0.001 | 0.004 |
| Scholarly communication | 0.003 | 0.003 |
| Open science | 0.002 | 0.003 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.005 | 0.001 |
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".