A FINITE AMPLITUDE WAVE PROPAGATION PROBLEM FOR A PSEUDO-ELASTIC SOLID
Bibliographic record
Abstract
A constitutive model for an incompressible pseudo-elastic rubberlike solid is proposed. The term pseudo-elastic refers to a solid which has different stress-deformation relations for loading and unloading so that a hysteresis effect is exhibited, and the virgin reference configuration is recovered when the solid is unloaded. The model is based on an isotropic hyperelastic strain energy function W(F), where F is the deformation gradient tensor and det[F] = 1, and the stress-deformation relation for loading from an unstressed state is the same as that for a hyperelastic solid with strain energy function W(F). Loading (unloading) is assumed to occur when dW(F) > 0 (dW(F) < 0) and neutral loading when dW(F) = 0. Finite amplitude wave propagation in a semi-infinite pseudo-elastic string, which is subjected to a cycle of tensile loading and unloading at the free end is considered. Numerical results, obtained from an adaptation of the method of characteristics, are presented for a particular form of the proposed model, which is based on the Mooney-Rivlin strain energy function.
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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".