Numerical study of S<sub>1</sub> zero group velocity Lamb modes for nonlinear functionally graded materials
Bibliographic record
Abstract
This paper presents detailed theoretical investigation of the first-order symmetric zero group velocity (S1-ZGV) modes propagating in functionally graded material (FGM) plates. Governing equations for the Lamb waves are derived and the power series technique (PST) is employed to solve the recursive equations associated with any power law and its gradient coefficient. The convergence criteria relative to PST have been discussed. Then, the dispersion curves are obtained on the basis of PST. Additionally, the impact of the FGM base materials and the gradient coefficient on S1-ZGV frequency is investigated. Numerical results show that S1-ZGV frequency is comparatively more sensitive to the shear modulus than to the Lamé parameter λ. Additionally, the variations of S1-ZGV frequency as a function of the Poisson ratio of various FGM plates are clarified.
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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 | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.001 | 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".