A three-dimensional generalized shock plate problem with four thermoviscoelastic relaxations
Bibliographic record
Abstract
The three-dimensional generalized thermoviscoelastic shock plate problem is presented. Four thermoviscoelastic relaxations are used during this study, three of them are due to the generalized thermoelasticity models and the fourth is due to the viscosity parameter. The plate is thermally isolated at its bottom surface while its upper one is under a thermal shock. The transient thermal shock plate problem is presented according to a unified theory of generalized thermoelasticity. The classical coupled thermoelasticity model is used and two of its generalizations, namely Green–Lindsay and Lord–Shulman models, are also used. Normal mode analysis is adopted to get an analytical general solution of the present plate problem. The distributions of all variables are investigated along the plate directions. Different thermoelasticity theories are compared to present suitable conclusions. Some special findings are pointed out to show the effects of viscosity and other thermal relaxation parameters on thermoelastic interactions. Numerical results are plotted and tabulated to serve as benchmark results for future comparisons.
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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) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.003 | 0.001 |
| Insufficient payload (model declined to judge) | 0.005 | 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".