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 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 | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.002 | 0.002 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.004 | 0.002 |
| Insufficient payload (model declined to judge) | 0.004 | 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".