Simulation of cracks in a Cosserat medium using the <i>extended</i> finite element method
Bibliographic record
Abstract
Cosserat (micropolar, asymmetric) elasticity can better predict the mechanical behavior of the materials with a characteristic length scale than the classical theory of elasticity. However, the area of fracture modelling in a Cosserat medium is not widely presented in the literature. The simulation of cracks in a Cosserat medium using the eXtended Finite Element Method (XFEM) is presented in this paper. The proper crack tip enrichment of the translational and microrotational fields is important for the robustness and efficiency of the XFEM/Cosserat model. Using the example of an edge crack of the Mode I in this paper, we have shown that the values of the J-integral for the Cosserat solid are higher than those for the equivalent classical elastic solid. The difference becomes significant for the cases of materials with strong micropolar properties. The dependence of the fracture behavior of the crack of different sizes on the Cosserat elastic constants was found to be significant. Therefore, it is recommended that the special tip enrichment is considered for the microrotational field, and a careful analysis of the material parameters is performed in order to model fracture in a Cosserat medium.
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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 | 0.001 |
| 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 | 0.001 | 0.000 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.002 | 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".