Thermoelastic fields of an inhomogeneity embedded in a matrix under thermoelectric loads based on a temperature-dependent model
Bibliographic record
Abstract
We consider the thermoelastic problem of an elliptical inhomogeneity embedded in an infinite matrix subjected to uniform remote electric-thermal loading in which the temperature dependency of thermoelastic parameters, including thermal conductivity, thermal expansion coefficient and elastic modulus are considered. Complex variable methods are applied to develop analytical solutions under the assumption that both the corresponding transport and constitutive equations incorporate nonlinear effects. Numerical results reveal that the temperature dependency of the corresponding material parameters will significantly affect the distribution of thermal stress around the inhomogeneity. Under the temperature dependency assumption and with severe temperature gradients attributed to the remote electric-thermal loading, stresses along the interface may present a significantly different distribution than those obtained under the assumption of temperature independence. We mention that in the research area dealing with thermal stress induced by electric-thermal loading, our results provide a new theoretical tool for predicting stress concentration phenomena in heterogeneous materials.
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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".