Generalized mixture rule and its applications to rheology of the Earth materials.
Bibliographic record
Abstract
Efforts to model the tectonic deformation behavior of the Earth's crust and mantle will become easier if a simple but robust expression is available to make accurate predictions of the elastic and rheological properties of candidate multiphase rocks under various conditions. For this intent, a generalized mixture rule (GMR) is established to provide a unified description of the mechanical properties of polyphase composites or polymineralic rocks in terms of component properties, volume fractions, and microstructures. Taking solid-liquid suspensions (e. g. , magmas) and porous materials (e. g. , basalts and sandstones) as end-members of two-phase composites in which solid particles or pores are dispersed within a continuous liquid or solid framework, the GMR yields a rigorous expression for the relationship between the mechanical properties and component volume fractions. Although the GMR is purely mathematical in origin, its connection to the existing physical theories and its consistence with extensive high-quality experimental data suggests that it should have some physical validity as a very handy tool for a general description of the elastic and rheological properties of multiphase materials including suspensions and porous solids. Rigorous theoretical analyses could be a very challenging topic.
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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".