ON MAIN APPROXIMATIONS IN THE LINEAR THEORY OF THERMOELASTICITY
Bibliographic record
Abstract
A unified scheme of the criteria for simplifications in the linear theory of thermoelasticity is proposed. The simplifications considered here are: 1° the quasi-stationary displacement field approximation, 2° the rigid heat conductor (thermal stresses theory-, uncoupled thermoelasticity-) approximation, 3° the adiabatic approximation and 4° the isothermal displacement field approximation. The scheme is derived by using the dimensional analysis arguments, and the criteria are given in terms of two independent small parameters: coupling coefficient ε c , and the distance-scaling ratio ε t for the short- and long-distance regimes (at a given time scale), or the time-scaling ratio ε D for the long- and short-time regimes (at a given distance scale). These criteria are then applied to discuss the asymptotical behaviour of plane harmonic waves in each of the regimes.
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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 | 0.000 | 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 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".