Shell finite element formulations of ovalized thin-walled pipes
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Bibliographic record
Abstract
A novel shell finite element formulation is developed for the analysis of pipes with initial ovalization. The formulation is based on thin shell theory kinematics and the Saint Venant–Kirchhoff constitutive model. It captures geometric nonlinear effects and is applicable to straight and curved pipes. The formulation adopts the total Lagrangian approach within the framework of the virtual work principle. Rather than referring the deformations to the initial ovalized state, as commonly done, a fictitious state excluding ovalization is first introduced as a reference state. The formulation utilizes the multiplicative decomposition approach to relate the deformation gradients between the reference (non-ovalized), undeformed (ovalized), and deformed states and exploits the simplicity of the reference configuration to perform the virtual work integrals, yielding tangent stiffness matrices and load vectors that successfully capture the effect of initial ovalization. The validity of the formulation is established through comparisons against general shell model predictions for straight and curved pipes with a variety of ovalization patterns under a variety of loading conditions.
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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 | 0.000 |
| 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)
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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