Dual phase lag two temperature fractional thermoelasticity in the context of Green Naghdi type II
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Bibliographic record
Abstract
The linear thermoelasticity theory without energy dissipation developed by Green Naghdi has been reconstructed using two-phase lags and two temperature theory in the framework of the fractional time derivative. In half space, the mathematical model for one dimensional wave propagation subject to thermal shock on the bounding surface is discussed. Assume that the bounding surface is traction free. The analytical solutions have been obtained in the Laplace domain. The Gaver-Stehfest technique is simple, efficient, and robust. It has been numerically used to perform an inversion of the Laplace transform, satisfying Kuznetsov’s convergence condition in the time domain. The significance of the fractional order parameter on variations of various fields inside the medium is addressed graphically. The utilization of delay time translations in heat flux vector and thermal displacement gradient causes the finite speed of wave propagation and depicts microscopic responses more precisely.
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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 | 0.001 |
| 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