Generalized Matsuoka–Nakai criterion considering hydrostatic pressure dependence in the brittle–ductile region
Bibliographic record
Abstract
Abstract A generalized Matsuoka–Nakai criterion is proposed in this study, taking the form of a polynomial function, incorporating two parameters to characterize the evolution of the failure envelope within the deviatoric plane. These two parameters exhibit an inverse correlation with both the aspect ratio and curvature. Besides, the first parameter primarily affects the curvature around the triaxial compression state, while the second parameter predominantly influences the curvature around the triaxial extension state. Three sets of strength data under true triaxial stress states were selected to evaluate the generalized strength criterion. These sets include three types: hydrostatic pressure independent within the brittle region (HPI‐B), hydrostatic pressure dependent within the brittle region (HPD‐B), and hydrostatic pressure dependent within the brittle–ductile region (HPD‐BD). In the case of HPI, the failure envelope within the deviatoric plane remains constant and is accurately described by two fixed deviatoric parameters. In contrast, for the HPD type, the shape of the failure envelope varies with hydrostatic pressure, and this variation is precisely captured using two deviatoric parameters. The experimental data are distributed around the edges of the three‐dimensional failure envelope. Additionally, a comparison with existing criteria further validates the accuracy of the proposed criterion.
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| 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".