GRADIENT-DEPENDENT CONSTITUTIVE LAWS FOR A MODEL OF MICROCRACKED BODIES
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Bibliographic record
Abstract
The aim of this paper is to propose nonlocal constitutive laws for a model of microcracked bodies. To do so, we use a multiscale approach: we call macroscopic the description in which the body is considered as a continuum and we refer to the microscopic scale when a crack is studied at a closer view. We first propose an approximation of the stress and strain fields in the vicinity of a crack, considering the neighboring discontinuities. We then use equivalence principles between micro- and macroscopic scales in order to determine the expression of the macroscopic constitutive assignments of the body. The latter are written not only in terms of the local values of the deformation and the local values of the geometrical variables representative of the crack field, but also in terms of their gradients. Numerical implementations are performed; we compare constitutive laws obtained from local and nonlocal approaches.
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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