Analysis of plastically deformed functionally graded pressurized thick cylinder
Why this work is in the frame
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Bibliographic record
Abstract
An analytical solution for stresses in a plastically deformed cylinder made of a functionally graded material (FGM) under internal pressure is provided. The cylindrical material is composed of two metal powder particles manufactured using centrifugal casting. While Poisson’s ratio is assumed constant, Young’s modulus is a power function of the radius. The von Mises yield criterion is used under the plane-strain condition. The constitutive material model obeys the Ludwik power law, with the yield strength and work-hardening coefficient as functions of the radius. The stress distributions along the radial direction for the elastic, elasto–plastic field and beyond plastic collapse cases were analyzed. To study the effect on the plastic zone in FGM, in addition to pressure, the gradient index was made to vary from −2 to 2 and different cylinder aspect ratios ranging from 1 up to 3 are considered. A finite-element simulation was run for comparison and validation of the analytical solution. The results showed a good agreement between the two methods.
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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 | 0.000 | 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 it