Non-Fourier, nonlocal heat conduction, recent progress andapplications
Bibliographic record
Abstract
Abstract: High-energy pulse laser beams are widely used in additive manufacturing of metals, ceramics and other high-melting temperature materials, where the workpiece experiences sudden heating process with extremely high temperature gradient localized in the heating spot. Recent experimental and theoretical results have showed that thermal stress analysis based on the classical Fourier heat conduction and continuum mechanics will lead to a much more optimistic prediction of the thermomechanical behavior of the material than the actual situation. This overestimate in the thermomechanical response to transient, localized, highenergy heating process will eventually jeopardize the manufacturing and subsequent application of the additively manufactured products. Non-Fourier heat conduction theories were proposed to address the transient heating process involving high temperature or temperature gradient, extremely low temperature, or heterogeneous material structures. This presentation summarizes some of our recent works on thermal stress analysis of transient heat process using non-Fourier heat conduction theories. Rationality of application of non-Fourier heat conductions and nonlocal continuum theory will be discussed first. Then some typical thermomechanical problems extracted from additive manufacturing will be solved to illustrate the advantages of these theories over the classical theories. In particular, nonlocal theory of continuum exhibits perfect applicability in dealing with localized heating process when combined with non-Fourier heat conduction.
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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 | 0.001 |
| 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 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".