Simple generic picture of tensile toughness in solid polymer blends
Bibliographic record
Abstract
The tensile toughness $\mathcal{T}$ of a brittle polymeric solid can be enhanced by blending a ductile polymer. While this common wisdom is generally valid, a generic picture is lacking that connects the microscopic details to the macroscopic nonlinear mechanics. Using all-atom and complementary generic simulations, we show how a delicate correlation between the side group contact density of the brittle polymers ${\ensuremath{\rho}}_{\mathrm{c}}$ and its dilution upon adding a second component controls $\mathcal{T}$. A set of chemically distinct systems follows a generic trend in $\mathcal{T}$ with $d{\ensuremath{\rho}}_{\mathrm{c}}/d\ensuremath{\varepsilon}$, where $\ensuremath{\varepsilon}$ is the tensile strain. The observed trend is explained using a simple mechanical model based on the parallel spring analogy.
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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) | 0.001 | 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".