Scaling Analysis of the Thermal Stress Field Produced by a Moving Point Heat Source in a Thin Plate
Bibliographic record
Abstract
Abstract This study presents a scaling analysis of thermally induced stresses and strains produced during welding and additive manufacturing of thin structures such as plates or walls. The order of magnitude scaling (OMS) technique was used to develop an appropriate dimensionless formulation, to obtain asymptotic expressions, and to determine the limits of validity. Nonlinear finite element simulations of welding procedures were performed to validate the asymptotic model; plasticity and temperature dependent materials properties for structural steel, stainless steel, and aluminum were considered. Thermal stresses cause plasticity when the temperature reaches a critical temperature termed the first yield temperature. The model developed is valid when the first yield isotherm is elongated, which is the case for most welding and metal additive manufacturing applications. A rigorous novel expression for the criterion of applicability is presented and utilized for prediction of the width of the plastic zone surrounding a weld or additive manufacturing bead. Extrapolations beyond the region of applicability show a consistent trend, which is captured in the form of a general dimensionless empirical expression. This work establishes the foundation for the estimation of forces and distortions induced by welding or additive manufacturing processes, and also the incorporation of effects of departure from idealizations.
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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".