A Neutral Isotropic Elastic Ellipsoidal Inhomogeneity with a Spring-Type Imperfect Interface
Bibliographic record
Abstract
Summary We study the design of an imperfectly bonded neutral isotropic elastic ellipsoidal inhomogeneity that does not disturb the prescribed uniform normal stresses in an isotropic elastic matrix. The imperfect inhomogeneity-matrix interface is modeled by a spring-type imperfect interface characterized by a single imperfect interface function. The same degree of interface imperfection is realized in both the normal and tangential directions. The two loading parameters and the imperfect interface function are determined by solving a resulting cubic equation for each one of the three types of elastic constants of the composite. All three roots of the cubic equation are permissible provided that the Young’s modulus (for the first two types) or the Poisson’s ratio (for the third type) of the inhomogeneity is higher or lower than that corresponding to the matrix. The design of a neutral superellipsoidal or paraboloidal elastic inhomogeneity with another kind of spring-type interface that does not sustain shear traction under a prescribed uniform hydrostatic stress field in the matrix is also 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) | 0.000 | 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 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".