T-Stress Solutions for Multiple Edge Cracks in Thick-Walled Cylinders
Bibliographic record
Abstract
In this paper, the boundary element method (BEM) is employed to obtain T-stress solutions for multiple internal edge-cracks in thick-walled cylinders under complex stress distributions. Thick-walled cylinders with two, four and eight internal edge cracks, respectively, are analyzed for a wide range of radius ratios and relative crack lengths. The load cases considered for the cracked cylinder are: i) crack face pressure with uniform, linear, quadratic and cubic stress distributions and ii) internal pressure in the cylinder. The T-stress results for the uniform and the linear distribution crack face pressure cases are used as the reference solutions to derive weight function solutions for the T-stress for the corresponding geometries. The direct boundary element results of the T-stress for the other nonlinear stress distributions are used to validate the derived T-stress weight functions. Excellent agreements between the BEM results and weight function predictions are obtained. The weight functions derived are suitable for obtaining T-stress solutions for the corresponding cracked thick-walled cylinder under any complex stress fields.
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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) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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".