A spheroidal dielectric compressible liquid inclusion in an infinite transversely isotropic piezoelectric matrix
Bibliographic record
Abstract
We examine the three-dimensional problem associated with a spheroidal dielectric compressible liquid inclusion perfectly bonded to an infinite transversely isotropic piezoelectric matrix subjected to a uniform axisymmetric electromechanical loading at infinity. Our solution method is based on the general solution developed by [L. Kogan, C. Y. Hui and V. Molkov. Stress and induction field of a spheroidal inclusion or a penny-shaped crack in a transversely isotropic piezoelectric material. International Journal of Solids and Structures 33(19), pp. 2719–2737, 1996] describing the electroelastic field in a transversely isotropic piezoelectric solid. Specifically, the original boundary value problem is reduced to a set of four coupled linear algebraic equations. The internal uniform hydrostatic stress field within the liquid inclusion and the electroelastic field of displacements, electric potential, stresses and electric displacements in the piezoelectric matrix are then completely determined via the solution of this set of linear algebraic equations. A three-dimensional neutral liquid inclusion of arbitrary shape that does not disturb the prescribed uniform hydrostatic stresses and electric displacements in a generally anisotropic piezoelectric matrix is achieved.
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How this classification was reachedexpand
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) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.002 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, 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".