The Dynamic Stress Field in the Matrix Surrounding a Spheroidal Particle
Bibliographic record
Abstract
In this study, the steady-state stresses resulting from a dynamic loading in a composite reinforced by a single spheroidal particle are determined and the stress concentration factors within the matrix obtained. A hybrid technique that combines the finite element method with an eigenfunction expansion technique is used to determine the stresses. The stress concentrations within the matrix of the composite are found to be dependent on the frequency of excitation, the mismatch of elastic properties and density between the particle and the matrix, the aspect-ratio of the particle and Poisson’s ratio of the particle and matrix. In particular, the study reveals that the matrix would experience dynamic stresses up to 100% greater than the static values when the particle density is greater than that of the matrix. The results also indicate that composites with brittle matrices will experience crack initiation at the pole of the particle where the principal stresses are the largest. For ductile matrices, on the other hand, the region of maximum von Mises equivalent stress within the matrix varied along the particle–matrix interface, but also occurred at interior points away from the interface under certain conditions.
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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 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 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".