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 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 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| 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".