A Finite Element for Piezoelectric Multilayered Plates: Combined Higher-order and Piecewise Linear C0 Formulation
Why this work is in the frame
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Bibliographic record
Abstract
A finite element is presented for the static and dynamic analysis of smart multilayered plates. A fourth-order expansion is combined with a piecewise linear term to describe the distribution of the in-plane displacements through the thickness. The out-of-plane displacement is assumed constant through the thickness. Both free edges and interlaminar continuity conditions are satisfied, thus reducing the number of elastic unknowns to nine whatever be the number of layers. To this aim, two redundant unknowns describing the two derivatives of the out-of-plane displacement with respect to the in-plane coordinates are introduced and related to the out-of-plane displacement by the use of penalty functions. A quadratic distribution of the electric potential is used inside each piezoelectric layer to completely account for the piezoelectric coupling effects.
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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)
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